Symmetry Operators and Gravity

Fuente: arXiv
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Auteurs principaux: Bah, Ibrahima, Jefferson, Patrick, Roumpedakis, Konstantinos, Waddleton, Thomas
Format: Preprint
Publié: 2024
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author Bah, Ibrahima
Jefferson, Patrick
Roumpedakis, Konstantinos
Waddleton, Thomas
author_facet Bah, Ibrahima
Jefferson, Patrick
Roumpedakis, Konstantinos
Waddleton, Thomas
contents We argue that topological operators for continuous symmetries written in terms of currents need regularization, which effectively gives them a small but finite width. The regulated operator is a finite tension object which fluctuates. In the zero-width limit these fluctuations freeze, recovering the properties of a topological operator. When gravity is turned on, the zero-width limit becomes ill-defined, thereby prohibiting the existence of topological operators.
format Preprint
id arxiv_https___arxiv_org_abs_2411_08858
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Symmetry Operators and Gravity
Bah, Ibrahima
Jefferson, Patrick
Roumpedakis, Konstantinos
Waddleton, Thomas
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We argue that topological operators for continuous symmetries written in terms of currents need regularization, which effectively gives them a small but finite width. The regulated operator is a finite tension object which fluctuates. In the zero-width limit these fluctuations freeze, recovering the properties of a topological operator. When gravity is turned on, the zero-width limit becomes ill-defined, thereby prohibiting the existence of topological operators.
title Symmetry Operators and Gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.08858