Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves

Abstract

We study the dynamics of a N=2 supersymmetric SU(N) gauge theory with fundamental or adjoint matter in presence of a non trivial Omega-background along a two dimensional plane. The prepotential and chiral correlators of the gauge theory can be obtained, via a saddle point analysis, from an equation which can be viewed as a non commutative version of the "standard" Seiberg and Witten curve.

35 pages, 3 figures, minor corrections. version to appear in JHEP with the correction of a tex error

References in corpus (6)

• Small Instantons, Little Strings and Free Fermions
• Deforming SW curve
• A direct proof of AGT conjecture at beta = 1
• Matrix model version of AGT conjecture and generalized Selberg integrals
• Instanton calculus in R-R background and the topological string
• Seiberg-Witten prepotential from instanton counting

Cited by in corpus (17)

• Ω-deformation and quantization
• CFT description of BH's and ECO's: QNMs, superradiance, echoes and tidal responses
• Nekrasov prepotential with fundamental matter from the quantum spin chain
• Hofstadter's Butterfly in Quantum Geometry
• S-duality as a beta-deformed Fourier transform
• Modular anomaly equations in N=2* theories and their large-N limit
• Quantum Hitchin Systems via beta-deformed Matrix Models
• Quantum geometry from the toroidal block
• Large N limit of beta-ensembles and deformed Seiberg-Witten relations
• Spherical Hecke algebra in the Nekrasov-Shatashvili limit
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• More on the SW-QNM correspondence
• Effective Gravitational Couplings of Higher-Rank Supersymmetric Gauge Theories
• On a path integral representation of the Nekrasov instanton partition function and its Nekrasov--Shatashvili limit
• Effective Gravitational Couplings of Kaluza-Klein Gauge Theories
• VEV of $Q$-operator in $U(1)$ linear quiver 5d gauge theories