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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 …
Stratifying On-Shell Cluster Varieties: The Geometry Of Non-Planar On-Shell Diagrams, Jacob L. Bourjaily, Sebastian Franco, Danielle Galloni, Congkao Wen
Stratifying On-Shell Cluster Varieties: The Geometry Of Non-Planar On-Shell Diagrams, Jacob L. Bourjaily, Sebastian Franco, Danielle Galloni, Congkao Wen
Publications and Research
The correspondence between on-shell diagrams in maximally supersymmetric Yang-Mills theory and cluster varieties in the Grassmannian remains largely unexplored beyond the planar limit. In this article, we describe a systematic program to survey such `on-shell varieties', and use this to provide a complete classification in the case of G(3; 6). In particular, we find exactly 24 top-dimensional varieties and 10 co-dimension one varieties in G(3; 6) | up to parity and relabeling of the external legs. We use this case to illustrate some of the novelties found for non-planar varieties relative to the case of positroids, and describe some of …