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Gauging in Parameter Space: A Top-Down Perspective

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arxiv 2411.14997 v2 pith:LMOZTRDH submitted 2024-11-22 hep-th

Xingyang Yu This is my paper
classification hep-th
keywords gaugingtheoriessymmetrytop-downbranesdiscussgeneralizedparameter
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper, we discuss a novel top-down perspective on gauging parameters in quantum field theories (QFTs) by promoting them to partially dynamical fields. Through a generalized notion of symmetry theories, we explore the consequences of this promotion, revealing new topological defects, decompositions as well as generalized symmetry structures across various dimensions. We provide a systematic top-down derivation of symmetry theories for parameters and discuss how special types of branes, such as Euclidean branes and fluxbranes are related to gauging in the parameter space in QFTs. We illustrate our theoretical framework with two key examples: the modified instanton sum in 4D $\mathcal{N}=4$ super Yang-Mills theory and the gauging of gauge ranks in 3D ABJ(M) theories.

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Cited by 4 Pith papers

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  3. SymTFT actions, Condensable algebras and Categorical anomaly resolutions

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  4. On mixed 't Hooft anomalies of emergent symmetries

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    An infrared mixed anomaly involving an emergent symmetry forces the UV completion to contain non-genuine operators, which the paper demonstrates in 2D and 3D examples and links to a correspondence between quantum coho...

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