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Full-Text Articles in Physical Sciences and Mathematics
Path Integral Complexity And Kasner Singularities, Pawel Caputa, Diptarka Das, Sumit R. Das
Path Integral Complexity And Kasner Singularities, Pawel Caputa, Diptarka Das, Sumit R. Das
Physics and Astronomy Faculty Publications
We explore properties of path integral complexity in field theories on time dependent backgrounds using its dual description in terms of Hartle-Hawking wavefunctions. In particular, we consider boundary theories with time dependent couplings which are dual to Kasner-AdS metrics in the bulk with a time dependent dilaton. We show that holographic path integral complexity decreases as we approach the singularity, consistent with earlier results from holographic complexity conjectures. Furthermore, we find examples where the complexity becomes universal i.e., independent of the Kasner exponents, but the properties of the path integral tensor networks depend sensitively on this data.
Comments On The Holographic Description Of Narain Theories, Anatoly Dymarsky, Alfred D. Shapere
Comments On The Holographic Description Of Narain Theories, Anatoly Dymarsky, Alfred D. Shapere
Physics and Astronomy Faculty Publications
We discuss the holographic description of Narain U(1)c × U(1)c conformal field theories, and their potential similarity to conventional weakly coupled gravitational theories in the bulk, in the sense that the effective IR bulk description includes “U(1) gravity” amended with additional light degrees of freedom. Starting from this picture, we formulate the hypothesis that in the large central charge limit the density of states of any Narain theory is bounded by below by the density of states of U(1) gravity. This immediately implies that the maximal value of the spectral gap for primary fields is ∆1 = …
Near Conformal Perturbation Theory In Syk Type Models, Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki
Near Conformal Perturbation Theory In Syk Type Models, Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki
Physics and Astronomy Faculty Publications
We present a systematic procedure to extract the dynamics of the low energy soft mode in SYK type models with a single energy scale J and emergent reparametrization symmetry in the IR. This is given in the framework of the perturbative scheme of arXiv:1608.07567 based on a specific (off-shell) breaking of conformal invariance in the UV, adjusted to yield the exact large-N saddle point. While this breaking term formally vanishes on-shell, it has a non-trivial effect on correlation functions and the effective action. In particular, it leads to the Schwarzian action with a specific coupling to bi-local matter. The …
Cft Unitarity And The Ads Cutkosky Rules, David Meltzer, Allic Sivaramakrishnan
Cft Unitarity And The Ads Cutkosky Rules, David Meltzer, Allic Sivaramakrishnan
Physics and Astronomy Faculty Publications
We derive the Cutkosky rules for conformal field theories (CFTs) at weak and strong coupling. These rules give a simple, diagrammatic method to compute the double-commutator that appears in the Lorentzian inversion formula. We first revisit weakly-coupled CFTs in flat space, where the cuts are performed on Feynman diagrams. We then generalize these rules to strongly-coupled holographic CFTs, where the cuts are performed on the Witten diagrams of the dual theory. In both cases, Cutkosky rules factorize loop diagrams into on-shell sub-diagrams and generalize the standard S-matrix cutting rules. These rules are naturally formulated and derived in Lorentzian momentum space, …
Halving Iso(7) Supergravity, Adolfo Guarino, Javier Tarrío, Oscar J. Varela
Halving Iso(7) Supergravity, Adolfo Guarino, Javier Tarrío, Oscar J. Varela
All Physics Faculty Publications
Half-maximal, N = 4, sectors of D = 4 N = 8 supergravity with a dyonic ISO(7) gauging are investigated. We focus on a half-maximal sector including three vector multiplets, that arises as a certain SO(3)R-invariant sector of the full theory. We discuss the embedding of this sector into the largest half-maximal sector of the N = 8 supergravity retaining six vector multiplets. We also provide its canonical N = 4 formulation and show that, from this perspective, our model leads in its own right to a new explicit gauging of N = 4 supergravity. Finally, expressions for …
On The Dynamics Of Near-Extremal Black Holes, Pranjal Nayak, Ashish Shukla, Ronak M. Soni, Sandip P. Trivedi, V. Vishal
On The Dynamics Of Near-Extremal Black Holes, Pranjal Nayak, Ashish Shukla, Ronak M. Soni, Sandip P. Trivedi, V. Vishal
Physics and Astronomy Faculty Publications
We analyse the dynamics of near-extremal Reissner-Nordström black holes in asymptotically four-dimensional Anti de Sitter space (AdS4). We work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field. We find that the behaviour of the system, at low energies and to leading order in our approximations, is well described by the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance. The JT model has been analysed in considerable detail recently and related to the …
Space-Time In The Syk Model, Sumit R. Das, Aminik Ghosh, Antal Jevicki, Kenta Suzuki
Space-Time In The Syk Model, Sumit R. Das, Aminik Ghosh, Antal Jevicki, Kenta Suzuki
Physics and Astronomy Faculty Publications
We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.
Path Integral Complexity For Perturbed Cfts, Arpan Bhattacharyya, Pawal Caputa, Sumit R. Das, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi
Path Integral Complexity For Perturbed Cfts, Arpan Bhattacharyya, Pawal Caputa, Sumit R. Das, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi
Physics and Astronomy Faculty Publications
In this work, we formulate a path-integral optimization for two dimensional conformal field theories perturbed by relevant operators. We present several evidences how this optimization mechanism works, based on calculations in free field theories as well as general arguments of RG flows in field theories. Our optimization is performed by minimizing the path-integral complexity functional that depends on the metric and also on the relevant couplings. Then, we compute the optimal metric perturbatively and find that it agrees with the time slice of the hyperbolic metric perturbed by a scalar field in the AdS/CFT correspondence. Last but not the least, …
The 3d Stress-Tensor Bootstrap, Anatoly Dymarsky, Filip Kos, Petr Kravchuk, David Poland, David Simmons-Duffin
The 3d Stress-Tensor Bootstrap, Anatoly Dymarsky, Filip Kos, Petr Kravchuk, David Poland, David Simmons-Duffin
Physics and Astronomy Faculty Publications
We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the stress-tensor 4-point function and identify a non-redundant set of crossing equations. Studying these equations numerically using semidefinite optimization, we compute bounds on the central charge as a function of the independent coefficient in the stress-tensor 3-point function. With no additional assumptions, these bounds numerically reproduce the conformal collider bounds and give a general lower bound on the central charge. We also study the effect of gaps …
Three Dimensional View Of Arbitrary Q Syk Models, Sumit R. Das, Aminik Ghosh, Antal Jevicki, Kenta Suzuki
Three Dimensional View Of Arbitrary Q Syk Models, Sumit R. Das, Aminik Ghosh, Antal Jevicki, Kenta Suzuki
Physics and Astronomy Faculty Publications
In [15] it was shown that the spectrum and bilocal propagator of SYK model with four fermion interactions can be realized as a three dimensional model in AdS2 ×S1/Z2 with nontrivial boundary conditions in the additional dimension. In this paper we show that a similar picture holds for generalizations of the SYK model with q-fermion interactions. The 3D realization is now given on a space whose metric is conformal to AdS2 × S1/Z2 and is subject to a non-trivial potential in addition to a delta function at the center of …
Spectrum Universality Properties Of Holographic Chern-Simons Theories, Yi Pang, Junchen Rong, Oscar J. Varela
Spectrum Universality Properties Of Holographic Chern-Simons Theories, Yi Pang, Junchen Rong, Oscar J. Varela
All Physics Faculty Publications
We give a master formula for the sin-2 spectrum of a class of three-dimensional Chern-Simons theories at large N, with flavour group containing SU(3), that arise as infrared fixed points of the D2-brane worldvolume field theory and have AdS4 duals in massive type IIA supergravtiy. We use this formula to compute the spin-2 spectrum of the individual theories discuss its supermultiplet structure and, for an N = 2 theory in this class, the spectrum of protected operators with spin 2. We also show that the trace of the Kaluza-Klein graviton mass matrix on the dual AdS4 solutions …
Menagerie Of Ads2 Boundary Conditions, Daniel Grumiller, Robert A. Mcnees Iv, Jakob Salzer, Carlos Valcárcel, Dmitri Vassilevich
Menagerie Of Ads2 Boundary Conditions, Daniel Grumiller, Robert A. Mcnees Iv, Jakob Salzer, Carlos Valcárcel, Dmitri Vassilevich
Physics: Faculty Publications and Other Works
We consider different sets of AdS2 boundary conditions for the Jackiw-Teitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary of the Poincaré disk. The most general set of boundary conditions is easily motivated in the gauge theoretic formulation as a Poisson sigma model and has an sl(2)" role="presentation" style="box-sizing: inherit; display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">𝔰𝔩(2)sl(2) current algebra as asymptotic symmetries. Consistency of the …
Three Dimensional View Of The Syk/Ads Duality, Sumit R. Das, Antal Jevicki, Kenta Suzuki
Three Dimensional View Of The Syk/Ads Duality, Sumit R. Das, Antal Jevicki, Kenta Suzuki
Physics and Astronomy Faculty Publications
We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS2, and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS2 × (S1)/Z2, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading 1/J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing …
Holography For Field Theory Solitons, Sophia K. Domokos, Andrew B. Royston
Holography For Field Theory Solitons, Sophia K. Domokos, Andrew B. Royston
Publications and Research
We extend a well-known D-brane construction of the AdS/dCFT correspondence to non-abelian defects. We focus on the bulk side of the correspondence and show that there exists a regime of parameters in which the low-energy description consists of two approximately decoupled sectors. The two sectors are gravity in the ambient spacetime, and a six-dimensional supersymmetric Yang-Mills theory. The Yang-Mills theory is defined on a rigid AdS4 S2 background and admits sixteen supersymmetries. We also consider a one-parameter deformation that gives rise to a family of Yang-Mills theories on asymptotically AdS4 S2 spacetimes, which are invariant under eight supersymmetries. With future …
Locality, Bulk Equations Of Motion And The Conformal Bootstrap, Daniel N. Kabat, Gilad Lifsch
Locality, Bulk Equations Of Motion And The Conformal Bootstrap, Daniel N. Kabat, Gilad Lifsch
Publications and Research
We develop an approach to construct local bulk operators in a CFT to order 1/N2. Since 4-point functions are not fixed by conformal invariance we use the OPE to categorize possible forms for a bulk operator. Using previous results on 3-point functions we construct a local bulk operator in each OPE channel. We then impose the condition that the bulk operators constructed in different channels agree, and hence give rise to a well-defined bulk operator. We refer to this condition as the “bulk bootstrap.” We argue and explicitly show in some examples that the bulk bootstrap leads to some of …
Asymmetric Interiors For Small Black Holes, Daniel N. Kabat, Gilad Lifschytz
Asymmetric Interiors For Small Black Holes, Daniel N. Kabat, Gilad Lifschytz
Publications and Research
We develop the representation of infalling observers and bulk fields in the CFT as a way to understand the black hole interior in AdS. We first discuss properties of CFT states which are dual to black holes. We then show that in the presence of a Killing horizon bulk fields can be decomposed into pieces we call ingoing and outgoing. The ingoing field admits a simple operator representation in the CFT, even inside a small black hole at late times, which leads to a simple CFT description of infalling geodesics. This means classical infalling observers will experience the classical geometry …
Holographic Chern-Simons Defects, Mitsutoshi Fujita, Charles M. Melby-Thompson, René Meyer, Shigeki Sugimoto
Holographic Chern-Simons Defects, Mitsutoshi Fujita, Charles M. Melby-Thompson, René Meyer, Shigeki Sugimoto
Physics and Astronomy Faculty Publications
We study SU(N ) Yang-Mills-Chern-Simons theory in the presence of defects that shift the Chern-Simons level from a holographic point of view by embedding the system in string theory. The model is a D3-D7 system in Type IIB string theory, whose gravity dual is given by the AdS soliton background with probe D7 branes attaching to the AdS boundary along the defects. We holographically renormalize the free energy of the defect system with sources, from which we obtain the correlation functions for certain operators naturally associated to these defects. We find interesting phase transitions when the separation of the …
Bulk Equations Of Motion From Cft Correlators, Daniel N. Kabat, Gilad Lifschytz
Bulk Equations Of Motion From Cft Correlators, Daniel N. Kabat, Gilad Lifschytz
Publications and Research
ToO (1/N) we derive, purely from CFT data, the bulk equations of motion for interacting scalar fields and for scalars coupled to gauge fields and gravity. We first uplift CFT operators to mimic local AdS fields by imposing bulk microcausality. This requires adding an infinite tower of smeared higher-dimension double-trace operators to the CFT definition of a bulk field, with coefficients that we explicitly compute. By summing the contribution of the higher-dimension operators we derive the equations of motion satisfied by these uplifted CFT operators and show that we precisely recover the expected bulk equations of motion. We exhibit the …
Smooth And Fast Versus Instantaneous Quenches In Quantum Field Theory, Sumit R. Das, Damián A. Galante, Robert C. Myers
Smooth And Fast Versus Instantaneous Quenches In Quantum Field Theory, Sumit R. Das, Damián A. Galante, Robert C. Myers
Physics and Astronomy Faculty Publications
We examine in detail the relationship between smooth fast quantum quenches, characterized by a time scale δt, and instantaneous quenches, within the framework of exactly solvable mass quenches in free scalar field theory. Our earlier studies [1, 2] highlighted that the two protocols remain distinct in the limit δt → 0 because of the relation of the quench rate to the UV cut-off, i.e., 1/δt ≪ Λ always holds in the fast smooth quenches while 1/δt ∼ Λ for instantaneous quenches. Here we study UV finite quantities like correlators at …
Holographic Calculations Of Euclidean Wilson Loop Correlator In Euclidean Anti-De Sitter Space, Sannah Ziama
Holographic Calculations Of Euclidean Wilson Loop Correlator In Euclidean Anti-De Sitter Space, Sannah Ziama
Physics and Astronomy Faculty Publications
The correlation functions of two or more Euclidean Wilson loops of various shapes in Euclidean anti-de Sitter space are computed by considering the minimal area surfaces connecting the loops. The surfaces are parametrized by Riemann theta functions associated with genus three hyperelliptic Riemann surfaces. In the case of two loops, the distance L by which they are separated can be adjusted by continuously varying a specific branch point of the auxiliary Riemann surface. When L is much larger than the characteristic size of the loops, then the loops are approximately regarded as local operators and their correlator as the correlator …
Kibble-Zurek Scaling In Holographic Quantum Quench: Backreaction, Sumit R. Das, Takeshi Morita
Kibble-Zurek Scaling In Holographic Quantum Quench: Backreaction, Sumit R. Das, Takeshi Morita
Physics and Astronomy Faculty Publications
We study gauge and gravity backreaction in a holographic model of quantum quench across a superfluid critical transition. The model involves a complex scalar field coupled to a gauge and gravity field in the bulk. In earlier work (arXiv:1211.7076) the scalar field had a strong self-coupling, in which case the backreaction on both the metric and the gauge field can be ignored. In this approximation, it was shown that when a time dependent source for the order parameter drives the system across the critical point at a rate slow compared to the initial gap, the dynamics in the critical region …
C-Metrics In Gauged Stu Supergravity And Beyond, H. Lu, Justin F. Vázquez-Poritz
C-Metrics In Gauged Stu Supergravity And Beyond, H. Lu, Justin F. Vázquez-Poritz
Publications and Research
We construct charged generalizations of the dilaton C-metric in various fourdimensional theories, including STU gauged supergravity as well as a one-parameter family of Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential. In addition, we present time-dependent generalizations of the dilaton C-metric and dilaton Ernst solutions, for which the time evolution is driven by the dilaton. These C-metric solutions provide holographic descriptions of a strongly-coupled three-dimensional field theory on the background of a black hole, a gravitational soliton, and a black hole undergoing time evolution.
Near Horizon Geometry Of Strings Ending On Intersecting D8/D4-Branes, J. Estes, D. Krym, B. Van Pol
Near Horizon Geometry Of Strings Ending On Intersecting D8/D4-Branes, J. Estes, D. Krym, B. Van Pol
Publications and Research
We consider solutions of massive IIA supergravity corresponding to the half- BPS intersection of D8/D4-branes with fundamental strings. The 1 + 1-dimensional intersection preserves the symmetry D(2, 1; ; 1) × SO(4). We give a reduction and partial integration of the BPS equations for this symmetry group. We then specialize to the cases of enhanced supersymmetry corresponding to = −1/2,−2 or = 1. In the first case, we show that the only solution with enhanced symmetry is given by the AdS6 geometry describing the near horizon geometry of D8/D4-branes in the presence of an O8-plane. In the second case, we …
Finite N And The Failure Of Bulk Locality: Black Holes In Ads/Cft, Daniel N. Kabat, Gilad Lifschytz
Finite N And The Failure Of Bulk Locality: Black Holes In Ads/Cft, Daniel N. Kabat, Gilad Lifschytz
Publications and Research
We consider bulk quantum fields in AdS/CFT in the background of an eter- nal black hole. We show that for black holes with finite entropy, correlation functions of semiclassical bulk operators close to the horizon deviate from their semiclassical value and are ill-defined inside the horizon. This is due to the large-time behavior of correlators in a unitary CFT, and means the region near and inside the horizon receives corrections. We give a prescription for modifying the definition of a bulk field in a black hole background, such that one can still define operators that mimic the inside of the …