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Homological perspective on edge modes in linear Yang-Mills theory

Teh, Nicholas and Schenkel, Alexander and Wells, Laura and Mathieu, Philippe (2019) Homological perspective on edge modes in linear Yang-Mills theory. [Preprint]

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Abstract

We provide an elegant homological construction of the extended phase space for linear Yang-Mills theory on an oriented and time-oriented Lorentzian manifold M with a time-like boundary ∂M that was proposed by Donnelly and Freidel [JHEP 1609, 102 (2016)]. This explains and formalizes many of the rather ad hoc constructions for edge modes appearing in the theoretical physics literature.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Teh, Nicholasnteh@nd.edu
Schenkel, Alexanderalexander.schenkel@nottingham.ac.uk
Wells, Lauralwells@nd.edu
Mathieu, Philippepmathieu@nd.edu
Keywords: gauge symmetry, category theory, stacks, empirical significance, philosophy of symmetry, philosophy of quantum field theory
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr Nicholas Teh
Date Deposited: 31 Jul 2019 01:04
Last Modified: 31 Jul 2019 01:04
Item ID: 16271
Subjects: Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Date: 29 July 2019
URI: https://philsci-archive.pitt.edu/id/eprint/16271

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