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arXiv · 2310.12980

SymTrees and Multi-Sector QFTs

Florent Baume·Jonathan J. Heckman·Max Hübner·Ethan Torres·Andrew P. Turner·Xingyang Yu
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Abstract

The global symmetries of a $D$-dimensional 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 non-topological junctions. In string-realized multi-sector QFTs, these junctions are smoothed out in the extra-dimensional 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.

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Florent Baume, Jonathan J. Heckman, Max Hübner, Ethan Torres, Andrew P. Turner, Xingyang Yu. 2023-10-19. SymTrees and Multi-Sector QFTs. https://arxiv.org/abs/2310.12980

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