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arXiv · 1907.10651

Homological perspective on edge modes in linear Yang-Mills and Chern-Simons theory

Philippe Mathieu·Laura Murray·Alexander Schenkel·Nicholas J. Teh
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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 $\partial M$ 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. Our construction also applies to linear Chern-Simons theory, in which case we obtain the extended phase space introduced by Geiller [Nucl. Phys. B 924, 312 (2017)].

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Philippe Mathieu, Laura Murray, Alexander Schenkel, Nicholas J. Teh. 2019-07-24. Homological perspective on edge modes in linear Yang-Mills and Chern-Simons theory. https://doi.org/10.1007/s11005-020-01269-x

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