Deformed supersymmetric gauge theories from the fluxtrap background

Abstract

The fluxtrap background of string theory provides a transparent and algorithmic way of constructing supersymmetric gauge theories with both mass and Omega-type deformations in various dimensions. In this article, we review a number of deformed supersymmetric gauge theories in two and four dimensions which can be obtained via the fluxtrap background from string or M-theory. Such theories, the most well-known being Omega-deformed super Yang-Mills theory in four dimensions, have met with a lot of interest in the recent literature. The string theory treatment offers many new avenues of analysis and applications, such as for example the study of the gravity duals for deformed N=4 gauge theories.

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Cited by in corpus (19)

• 5D partition functions, q-Virasoro systems and integrable spin-chains
• A slow review of the AGT correspondence
• Modular anomaly equations in N=2* theories and their large-N limit
• Alpha- and Omega-Deformations from fluxes in M-Theory
• Yang-Baxter deformations and generalized supergravity -- A short summary
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Yang-Baxter deformations of Minkowski spacetime
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Killing spinors from classical r-matrices
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• SUSY and the bi-vector
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Topological AdS/CFT and the $\Omega$ deformation
• Gravity Dual of Two-Dimensional $\mathcal{N}=(2,2{)}^{\ast }$ Supersymmetric Yang-Mills Theory and Integrable Models
• Instanton Corrections for m and Omega
• Extended Gauge Theory Deformations From~Flux~Backgrounds
• The String Geometry Behind Topological Amplitudes
• Refined Topological Amplitudes from the $\Omega$-Background in String Theory
• The braneology of 3D dualities