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

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arxiv 1406.6023 v2 pith:TNC5CYZ4 submitted 2014-06-23 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords gaugeself-dualityspacetimenontrivialrelationtopologicallytransformationabelian
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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.

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  1. Type IIB Supergravity Action and Holography

    hep-th 2026-03 accept novelty 5.5 of 10

    A milder topological correction to the PST Type IIB action yields non-vanishing on-shell values matching holography for Lunin-Maldacena and AdS4 S-fold backgrounds.

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