Alpha- and Omega-Deformations from fluxes in M-Theory

Abstract

We discuss an SL(2,R) family of deformed N=2 four-dimensional gauge theories which we derive from a flux background in M-theory. In addition to the Omega-deformation this family includes a new deformation, which we call the Alpha-deformation, which can be viewed as an S-dual to the Omega-deformation. We study these gauge theories in two ways: by constructing a non-Abelian (but UV-complete) Lagrangian, and by their strong coupling lift to M-theory where their low-energy dynamics can be determined by examining the equation of motion of a single M5-brane wrapped on a Riemann surface.

arXiv comment25 pages. Typos corrected. Reference added. JHEP version

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• Killing spinors from classical r-matrices
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Extended Gauge Theory Deformations From~Flux~Backgrounds
• The String Geometry Behind Topological Amplitudes
• Refined Topological Amplitudes from the $\Omega$-Background in String Theory
• BPS Equations in Omega-deformed N=4 Super Yang-Mills Theory