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

被引：13

作者：

Mathieu, Philippe ^{[1
]}

Murray, Laura ^{[1
]}

Schenkel, Alexander ^{[2
]}

Teh, Nicholas J. ^{[3
]}

机构：

[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[2] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England

[3] Univ Notre Dame, Dept Philosophy, Notre Dame, IN 46556 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2020年 / 110卷 / 07期

关键词：

Linear Yang-Mills theory; Linear Chern-Simons theory; Edge modes; Derived critical locus; Homological algebra; BRST; BV formalism; STATISTICAL-MECHANICS; MANIFOLDS; BOUNDARY; DYNAMICS; GRAVITY; CHARGES;

D O I：

10.1007/s11005-020-01269-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 differential Mthat 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).

引用

页码：1559 / 1584

页数：26

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