Cobordism Conjecture in AdS

Creators: Ooguri, Hirosi; Takayanagi, Tadashi

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.

Additional Information

We thank Jacob McNamara, Cumrun Vafa, and Mark Van Raamsdonk for their comments on this paper. We also thank Mark Van Raamsdonk for sharing a draft of their paper [14] prior to publication. H.O. thanks participants of the Boot-strapping String Theory Workshop of the Simons Collaboration on the Nonpertubative Bootstrap for discussion. The work of H.O. is supported in part by U.S. Department of Energy grant de-sc0011632, by the World Premier International Research Center Initiative, MEXT, Japan, by JSPS Grant-in-Aid for Scientific Research C-26400240, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. T.T. is supported by Inamori Research Institute for Science and World Premier International Research Center Initiative (WPI Initiative) from the Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT). T.T. is also supported by the Simons Foundation through the "It from Qubit" collaboration, JSPS Grant-in-Aid for Scientific Research (A) No.16H02182 and by JSPS Grant-in-Aid for Challenging Research (Exploratory) 18K18766.

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