Conformal blocks for AdS5 singletons

Abstract

We give a simple derivation of the conformal blocks of the singleton sector of compactifications of IIB string theory on spacetimes of the form X5 x Y5 with Y5 compact, while X5 has as conformal boundary an arbitrary 4-manifold M4. We retain the second-derivative terms in the action for the B,C fields and thus the analysis is not purely topological. The unit-normalized conformal blocks agree exactly with the quantum partition function of the U(1) gauge theory on the conformal boundary. We reproduce the action of the magnetic translation group and the SL(2,Z) S-duality group obtained from the purely topological analysis of Witten. An interesting subtlety in the normalization of the IIB Chern-Simons phase is noted.

30pp. latex

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• All-fermion electrodynamics and fermion number anomaly inflow
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• Connected formulas for amplitudes in standard model
• Type II Actions from 11-Dimensional Chern-Simons Theories
• Finite Heisenberg Groups in Quiver Gauge Theories
• Generalized Geometry in AdS/CFT and Volume Minimization
• BPS Soliton Solutions of a D3-brane Action
• Anomaly inflow and $p$-form gauge theories
• Functional integration and gauge ambiguities in generalized abelian gauge theories
• Central Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories
• Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories
• Distinguishing Off-Shell Supergravities With On-Shell Physics
• Higher-form symmetry breaking and holographic flavour