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• W2949661306 abstract "We study curved-space rigid supersymmetry for two-dimensional $mathcal{N}=(2,2)$ 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 restrict 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 $S^2$ topology, there exist additional supersymmetric backgrounds with $m=0$ or $pm 1$ unit of flux for the $R$-symmetry gauge field. The $m=-1$ case includes the $Omega$-background on the sphere. We also systematically work out the curved-space supersymmetry multiplets and supersymmetric Lagrangians." @default.
• W2949661306 created "2019-06-27" @default.
• W2949661306 creator A5056156269 @default.
• W2949661306 creator A5059565451 @default.
• W2949661306 date "2014-07-01" @default.
• W2949661306 modified "2023-09-23" @default.
• W2949661306 title "Comments on N $$ mathcal{N} $$ = (2, 2) supersymmetry on two-manifolds" @default.
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• W2949661306 doi "https://doi.org/10.1007/jhep07(2014)075" @default.
• W2949661306 hasPublicationYear "2014" @default.
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