Abstract
Abstract
In this paper we apply supersymmetric localization to study gauged linear sigma models (GLSMs) describing supermanifold target spaces. We use the localization method to show that A-twisted GLSM correlation functions for certain supermanifolds are equivalent to A-twisted GLSM correlation functions for hypersurfaces in ordinary spaces under certain conditions. We also argue that physical two-sphere partition functions are the same for these two types of target spaces. Therefore, we reproduce the claim of [1, 2]. Furthermore, we explore elliptic genera and (0,2) deformations and find similar phenomena.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference44 articles.
1. S. Sethi, Supermanifolds, rigid manifolds and mirror symmetry, Nucl. Phys.
B 430 (1994) 31 [AMS/IP Stud. Adv. Math.
1 (1996) 793] [hep-th/9404186] [INSPIRE].
2. A.S. Schwarz, σ-models having supermanifolds as target spaces, Lett. Math. Phys.
38 (1996) 91 [hep-th/9506070] [INSPIRE].
3. R. Donagi and E. Witten, Super Atiyah classes and obstructions to splitting of supermoduli space, arXiv:1404.6257 [INSPIRE].
4. R. Donagi and E. Witten, Supermoduli space is not projected, Proc. Symp. Pure Math.
90 (2015) 19 [arXiv:1304.7798] [INSPIRE].
5. E. Witten, More on superstring perturbation theory: an overview of superstring perturbation theory via super Riemann surfaces, arXiv:1304.2832 [INSPIRE].
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