Closset, Cyril and Cremonesi, Stefano (2014) 'Comments on N = (2, 2) supersymmetry on two-manifolds.', Journal of high energy physics., 2014 (07). 075.
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.
| Item Type: | Article |
|---|---|
| Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution. Download PDF (890Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/JHEP07(2014)075 |
| Publisher 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. |
| Date accepted: | 27 June 2014 |
| Date deposited: | 29 March 2017 |
| Date of first online publication: | 16 July 2014 |
| Date first made open access: | No date available |
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