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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1387133
• Related Public URLs: https://arxiv.org/abs/1504.06308