Treelike structure of symmetry topological field theories and multisector QFTs

Author:

Baume Florent1ORCID,Heckman Jonathan J.23,Hübner Max2,Torres Ethan24ORCID,Turner Andrew P.2ORCID,Yu Xingyang56ORCID

Affiliation:

1. II. Institut fur Theoretische Physik, Universitat Hamburg, Hamburg 22607, Germany

2. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

3. Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

4. CERN Theory Department, CH-1211 Geneva, Switzerland

5. Center for Cosmology and Particle Physics, New York University, New York, New York 10003, USA

6. Physics Department, Robeson Hall, Virginia Tech, Blacksburg, Virginia 24061, USA

Abstract

The global symmetries of a D-dimensional quantum field theory (QFT) can, in many cases, be captured in terms of a (D+1)-dimensional symmetry topological field theory (SymTFT). In this work we construct a (D+1)-dimensional theory which governs the symmetries of QFTs with multiple sectors which have connected correlators that admit a decoupling limit. The associated symmetry field theory decomposes into a SymTree, namely a treelike structure of SymTFTs fused along possibly nontopological junctions. In string-realized multisector QFTs, these junctions are smoothed out in the extradimensional geometry, as we demonstrate in examples. We further use this perspective to study the fate of higher-form symmetries in the context of holographic large M averaging where the topological sectors of different large M replicas become dressed by additional extended operators associated with the SymTree. Published by the American Physical Society 2024

Funder

CERN

Aspen Center for Physics

Deutsche Forschungsgemeinschaft

German-Israeli Foundation for Scientific Research and Development

National Science Foundation

U.S. Department of Energy

University of Pennsylvania

Simons Foundation

European Research Council

New York University

Publisher

American Physical Society (APS)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Noninvertible symmetries in 2D from type IIB string theory;Physical Review D;2024-09-10

2. On the holographic dual of a topological symmetry operator;Physical Review D;2024-08-06

3. Remarks on geometric engineering, symmetry TFTs and anomalies;Journal of High Energy Physics;2024-07-24

4. On the symmetry TFT of Yang-Mills-Chern-Simons theory;Journal of High Energy Physics;2024-07-15

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