Factorization and global symmetries in holography
Francesco Benini, Christian Copetti, Lorenzo Di Pietro
SciPost Phys. 14, 019 (2023) · published 14 February 2023
- doi: 10.21468/SciPostPhys.14.2.019
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Abstract
We consider toy models of holography arising from 3d Chern-Simons theory. In this context a duality to an ensemble average over 2d CFTs has been recently proposed. We put forward an alternative approach in which, rather than summing over bulk geometries, one gauges a one-form global symmetry of the bulk theory. This accomplishes two tasks: it ensures that the bulk theory has no global symmetries, as expected for a theory of quantum gravity, and it makes the partition function on spacetimes with boundaries coincide with that of a modular-invariant 2d CFT on the boundary. In particular, on wormhole geometries one finds a factorized answer for the partition function. In the case of non-Abelian Chern-Simons theories, the relevant one-form symmetry is non-invertible, and its "gauging" corresponds to the condensation of a Lagrangian anyon.
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Francesco Benini,
- 2 3 Christian Copetti,
- 3 4 Lorenzo Di Pietro
- 1 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 2 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 3 INFN Sezione di Trieste / INFN Trieste
- 4 Università degli Studi di Trieste / University of Trieste [UNITS]
- European Research Council [ERC]
- Instituto Nazionale di Fisica Nucleare (INFN) (through Organization: Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN])
- Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])