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Generalized Gibbs Ensemble Of 2d Cfts At Large Central Charge In The Thermodynamic Limit, Anatoly Dymarsky, Kirill Pavlenko
Generalized Gibbs Ensemble Of 2d Cfts At Large Central Charge In The Thermodynamic Limit, Anatoly Dymarsky, Kirill Pavlenko
Physics and Astronomy Faculty Publications
We discuss partition function of 2d CFTs decorated by higher qKdV charges in the thermodynamic limit when the size of the spatial circle goes to infinity. In this limit the saddle point approximation is exact and at infinite central charge generalized partition function can be calculated explicitly. We show that leading 1/c corrections to free energy can be reformulated as a sum over Young tableaux which we calculate for the first two qKdV charges. Next, we compare generalized ensemble with the “eigenstate ensemble” that consists of a single primary state. At infinite central charge the ensembles match at the …
Effective Hopping In Holographic Bose And Fermi-Hubbard Models, Mitsutoshi Fujita, René Meyer, Sumiran Pujari, Masaki Tezuka
Effective Hopping In Holographic Bose And Fermi-Hubbard Models, Mitsutoshi Fujita, René Meyer, Sumiran Pujari, Masaki Tezuka
Physics and Astronomy Faculty Publications
In this paper, we analyze a proposed gravity dual to a SU(N) Bose-Hubbard model, as well as construct a holographic dual of a SU(N) Fermi-Hubbard model from D-branes in string theory. In both cases, the SU(N) is dynamical, i.e. the hopping degrees of freedom are strongly coupled to SU(N) gauge bosons which themselves are strongly interacting. The vacuum expectation value (VEV) of the hopping term (i.e. the hopping energy) is analyzed in the gravity dual as a function of the bulk mass of the field dual to the hopping term, as well …