Pure supergravity and the conformal bootstrap

Shai Chester (Weizmann Inst.)

09-Nov-2022, 15:00-16:00 (17 months ago)

Abstract: We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in d+1 dimensions for d=3, 4, and 6 with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally supersymmetric conformal field theory (CFT) in d dimensions whose only light single trace operator is the stress tensor. This contrasts with more standard cases like Type IIB string theory on AdS_5x S^5 dual to N=4 Super-Yang-Mills, where the CFT has light single trace operators for each Kaluza-Klein mode on S^5. We compute the 1-loop correction to the pure AdS_{d+1} theory in a small Planck length expansion, which is dual to the large central charge expansion in the CFT. We find that this correction saturates the most general non-perturbative conformal bootstrap bounds on this correlator in the large central charge regime for d=3, 4, 6. After imposing theory-specific constraints from localization in d=3, 4, the bootstrap constraints strengthen and are then saturated by the string/M-theory dual CFT data.

cosmology and nongalactic astrophysicsgeneral relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the discipline


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