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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1016/0306-3623(79)90020-x

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1029-8479

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Nonperturbative universal ChernSimons theory

Authors: RL Mkrtchyan
Publish Date: 2013/09/10
Volume: 2013, Issue: 9, Pages: 54-
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Abstract

Closed simple integral representation through Vogel’s universal parameters is found both for perturbative and nonperturbative which is inverse invariant group volume parts of free energy of ChernSimons theory on S 3 This proves the universality of that partition function For classical groups it manifestly satisfy N → −N duality in apparent contradiction with previously used ones For SUN we show that asymptotic of nonperturbative part of our partition function coincides with that of Barnes Gfunction recover ChernSimons/topological string duality in genus expansion and resolve abovementioned contradiction We discuss few possible directions of development of these results derivation of representation of free energy through GopakumarVafa invariants possible appearance of nonperturbative additional terms 1/N expansion for exceptional groups duality between string coupling constant and Kähler parameters etc

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