Topological Sigma Models On Supermanifolds

Abstract

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.

24 pages

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Cited by in corpus (5)

• Projective Superspaces in Practice
• One-Dimensional Super Calabi-Yau Manifolds and their Mirrors
• Supersymmetric Yang-Mills Theory as Higher Chern-Simons Theory
• Non Projected Calabi-Yau Supermanifolds over ${\mathbb{P}}^2$
• Supersymmetric Localization in GLSMs for Supermanifolds