Topological sigma models on supermanifolds

This paper concerns constructing topological sigma models governing maps from semirigid super Riemann surfaces to general target supermanifolds. We define both the A model and B model in this general setup by defining suitable BRST operators and physical observables. Using supersymmetric localizatio...

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Bibliographic Details
Published inNuclear physics. B Vol. 915; no. C; pp. 84 - 101
Main Author Jia, Bei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2017
Elsevier
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Summary:This paper concerns constructing topological sigma models governing maps from semirigid super Riemann surfaces to general target supermanifolds. We define both the A model and B model in this general setup by defining suitable BRST operators and physical observables. Using supersymmetric localization, we express correlation functions in these theories as integrals over suitable supermanifolds. In the case of the A model, we obtain an integral over the supermoduli space of “superinstantons”. The language of supergeometry is used extensively throughout this paper.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2016.11.025