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SymTFT Fans: The Symmetry Theory of 4d N=4 Super Yang-Mills on spaces with boundaries

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arxiv 2409.02156 v3 pith:WTEKH4PC submitted 2024-09-03 hep-th

Iñaki García Etxebarria , Jesús Huertas , Angel M. Uranga This is my paper · ORCID
classification hep-th
keywords symtftboundariesboundaryconstructiongaiotto-wittennumberspacessuper
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abstract

The SymTFT construction is an efficient way of studying the symmetries of Quantum Field Theories. In this paper we initiate the study of the SymTFT construction for interacting theories on spaces with boundaries, in the concrete example of $d = 4$ $\mathcal{N} = 4$ Super Yang-Mills theory with Gaiotto-Witten boundary conditions. The resulting SymTFT has a number of peculiarities, most prominently a fan-like structure with a number of different SymTFT sectors joined by gapless interfaces that merge at the Gaiotto-Witten boundary SCFT.

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Cited by 1 Pith paper

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  1. SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking

    hep-th 2025-09 conditional novelty 6.0 of 10

    Continuous-symmetry SymTFTs are extended to non-linear coset realizations and to spontaneous breaking using boundary and corner constructions, recovering CCWZ actions and SSB Ward identities.

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