2014/04/30 by Cyril Closset, Stefano Cremonesi · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Gauge theory #Genus #Geometry #Holomorphic function #Killing vector field #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Riemann surface #Space (punctuation) #Spinor #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1007/jhep07(2014)075
38 pages+appendix; v2: new section 6.10 on NLSM Lagrangians; v3: corrected typos and added references
arxiv created 2014/07/01 · openalex publication_date 2014/07/01 · arxiv updated 2015/06/19 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We study curved-space rigid supersymmetry for two-dimensional 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 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 S 2 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.