Torsion and Supersymmetry in Omega-background

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 Omega-background with the torsion which is identified with the R-symmetry Wilson line gauge fields. After the dimensional reduction, we obtain the Omega-deformed 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 N=4 supersymmetry. We also study deformed supersymmetries in the Nekrasov-Shatashvili limit.

26 pages

References in corpus (9)

• The Refined Topological Vertex
• Exploring Curved Superspace
• Instanton calculus in R-R background and the topological string
• The Omega Deformation From String and M-Theory
• Exotic instanton counting and heterotic/type I' duality
• F-theoretic vs microscopic description of a conformal N=2 SYM theory
• BPS States in Omega Background and Integrability
• Direct integration for general Omega backgrounds
• Topological Quiver Matrix Models and Quantum Foam

Cited by in corpus (7)

• Deformed supersymmetric gauge theories from the fluxtrap background
• Maximal super Yang-Mills theories on curved background with off-shell supercharges
• BPS States in the Duality Web of the Omega deformation
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• Flavor deformations and supersymmetry enhancement in $4d$ $\mathcal{N}=2$ theories
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions
• BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory