Note on the self-duality of gauge fields in topologically nontrivial spacetime

Abstract

We show the derivation of the self-duality relation of abelian higher-form gauge field strength in the topologically nontrivial spacetime background. The so-called Pasti-Sorokin-Tonin action for the self-dual abelian gauge field assumes that the spacetime topology is trivial to derive the self-duality relation using a gauge transformation of the action. In this paper we find a new gauge transformation of the same theory and show that this new gauge transformation enables us to derive the self-duality relation even in the topologically nontrivial spacetime background.

6 pages. No figure. v2: minor typos corrected

References in corpus (4)

• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Covariant actions for models with non-linear twisted self-duality
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian

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• Towards 2+4 formulation of M5-brane
• Nonlinear (chiral) p-form electrodynamics