We consider a pure U (1) quantum gauge field theory on a general Riemannian compact four manifold. We compute the partition function with Abelian Wilson loop insertions. We find its duality covariance properties and derive topological selection rules. Finally, we show that, to have manifest duality, one must assume the existence of twisted topological sectors besides the standard untwisted one.

Zucchini R. (2003). Abelian Duality and Abelian Wilson Loops. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 242(3), 473-500 [10.1007/s00220-003-0942-1].

Abelian Duality and Abelian Wilson Loops

Zucchini R.
2003

Abstract

We consider a pure U (1) quantum gauge field theory on a general Riemannian compact four manifold. We compute the partition function with Abelian Wilson loop insertions. We find its duality covariance properties and derive topological selection rules. Finally, we show that, to have manifest duality, one must assume the existence of twisted topological sectors besides the standard untwisted one.
2003
Zucchini R. (2003). Abelian Duality and Abelian Wilson Loops. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 242(3), 473-500 [10.1007/s00220-003-0942-1].
Zucchini R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/915433
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