Journal of High Energy Physics

, 2012:132

Torsion and supersymmetry in Ω-background

Authors

  • Katsushi Ito
    • Department of PhysicsTokyo Institute of Technology
  • Hiroaki Nakajima
    • Department of Physics and Center for Theoretical SciencesNational Taiwan University
    • Department of PhysicsKitasato University
Article

DOI: 10.1007/JHEP11(2012)132

Cite this article as:
Ito, K., Nakajima, H. & Sasaki, S. J. High Energ. Phys. (2012) 2012: 132. doi:10.1007/JHEP11(2012)132

Abstract

We study the dimensional reduction of ten-dimensional super Yang-Mills theory in curved backgrounds with torsion. We examine the parallel spinor conditions and the constraints for the torsion parameters which preserve supersymmetry and gauge symmetry in four dimensions. In particular we examine the ten-dimensional Ω-background with the torsion which is identified with the R-symmetry Wilson line gauge fields. After the dimensional reduction, we obtain the Ω-deformed \(\mathcal{N}=4\) super Yang-Mills theory. Solving the parallel spinor conditions and the torsion constraints, we classify the deformed supersymmetry associated with the topological twist of \(\mathcal{N}=4\) supersymmetry. We also study deformed supersymmetries in the Nekrasov-Shatashvili limit.

Keywords

Extended SupersymmetrySpace-Time Symmetries
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© SISSA, Trieste, Italy 2012