Cyril Closset
Comments on N = (2, 2) supersymmetry on two-manifolds
Closset, Cyril; Cremonesi, Stefano
Abstract
We study curved-space rigid supersymmetry for two-dimensional NN = (2, 2) supersymmetric fields theories with a vector-like R-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be viewed as holomorphic sections of particular complex line bundles over Euclidean space-time, which severely restricts the allowed supersymmetric couplings on compact orientable Riemann surfaces without boundaries. For genus g > 1, the only consistent non-singular couplings are the ones dictated by the topological A-twist. On spaces with S2 topology, there exist additional supersymmetric backgrounds with m = 0 or ±1 unit of flux for the R-symmetry gauge field. The m = −1 case includes the Ω-background on the sphere. We also systematically work out the curved-space supersymmetry multiplets and supersymmetric Lagrangians.
Citation
Closset, C., & Cremonesi, S. (2014). Comments on N = (2, 2) supersymmetry on two-manifolds. Journal of High Energy Physics, 2014(07), Article 075. https://doi.org/10.1007/jhep07%282014%29075
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 27, 2014 |
Online Publication Date | Jul 16, 2014 |
Publication Date | Jul 16, 2014 |
Deposit Date | Feb 2, 2017 |
Publicly Available Date | Mar 29, 2017 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2014 |
Issue | 07 |
Article Number | 075 |
DOI | https://doi.org/10.1007/jhep07%282014%29075 |
Related Public URLs | https://arxiv.org/abs/1504.06308 |
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Copyright Statement
Open Access, © The Author(s) 2014. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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