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Cobordism Conjecture in AdS

Hirosi Ooguri, Tadashi Takayanagi

Abstract

McNamara and Vafa conjectured that any pair of consistent quantum gravity theories can be connected by a domain wall. We test the conjecture in the context of the AdS/CFT correspondence. There are topological constraints on existence of an interface between the corresponding conformal field theories. We discuss how to construct domain walls in AdS predicted by the conjecture when the corresponding conformal interfaces are prohibited by topological obstructions.

Cobordism Conjecture in AdS

Abstract

McNamara and Vafa conjectured that any pair of consistent quantum gravity theories can be connected by a domain wall. We test the conjecture in the context of the AdS/CFT correspondence. There are topological constraints on existence of an interface between the corresponding conformal field theories. We discuss how to construct domain walls in AdS predicted by the conjecture when the corresponding conformal interfaces are prohibited by topological obstructions.

Paper Structure

This paper contains 1 section, 1 equation, 1 figure.

Table of Contents

  1. acknowledgments

Figures (1)

  • Figure 1: dwQFT contains subsectors described by weakly-coupled gravity theories in subregions of AdS$_1$ and AdS$_2$. These subregions extend all the way to the boundaries of AdS$_1$ and AdS$_2$, respectively.