On topological boundary characteristics in nonabelian gauge theory

1983 ◽  
Vol 24 (10) ◽  
pp. 2528-2531 ◽  
Author(s):  
C. Cronström ◽  
J. Mickelsson
Keyword(s):  
Gauge Theory ◽  
Nonabelian Gauge Theory ◽  
Boundary Characteristics ◽  
Topological Boundary

scholarly journals Boundary electromagnetic duality from homological edge modes

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Philippe Mathieu ◽  
Nicholas Teh
Keyword(s):  
Gauge Theory ◽  
Symplectic Structure ◽  
Central Charge ◽  
Wilson Line ◽  
Boundary Term ◽  
Global Symmetry ◽  
Homotopy Pullback ◽  
Line Singularities ◽  
Topological Boundary

Abstract Recent years have seen a renewed interest in using ‘edge modes’ to extend the pre-symplectic structure of gauge theory on manifolds with boundaries. Here we further the investigation undertaken in [1] by using the formalism of homotopy pullback and Deligne- Beilinson cohomology to describe an electromagnetic (EM) duality on the boundary of M = B3 × ℝ. Upon breaking a generalized global symmetry, the duality is implemented by a BF-like topological boundary term. We then introduce Wilson line singularities on ∂M and show that these induce the existence of dual edge modes, which we identify as connections over a (−1)-gerbe. We derive the pre-symplectic structure that yields the central charge in [1] and show that the central charge is related to a non-trivial class of the (−1)-gerbe.

Conformal nonabelian gauge theory

1986 ◽  
Vol 11 (3) ◽  
pp. 189-197 ◽  
Author(s):  
R. P. Zaikov
Keyword(s):  
Gauge Theory ◽  
Nonabelian Gauge Theory
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