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Main Author: Yu, Xingyang
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.14997
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author Yu, Xingyang
author_facet Yu, Xingyang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_14997
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gauging in Parameter Space: A Top-Down Perspective
Yu, Xingyang
High Energy Physics - Theory
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.
title Gauging in Parameter Space: A Top-Down Perspective
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.14997