Bulk to Boundary Relation Between Topological Models and Supergravity Theories

TL;DR

This paper demonstrates a direct correspondence between bulk topological theories involving higher-rank p-forms and specific sectors of supergravity models on the boundary, under certain boundary conditions, covering eleven-dimensional and type II supergravity theories.

Contribution

It establishes a novel bulk-boundary relation linking topological p-form theories to supergravity models, expanding understanding of holographic correspondences.

Findings

Identifies boundary conditions for the correspondence.

Connects eleven-dimensional supergravity with boundary topological theories.

Extends the relation to type II supergravity theories.

Abstract

We establish a direct correspondence between certain higher-rank p-form Chern-Simons topological type theories in the bulk of a manifold with boundary and particular sectors of supergravity models on the boundary, provided that certain boundary conditions are satisfied. The cases we investigate include eleven-dimensional supergravity and both of the type II theories in ten dimensions.