Deformed Seiberg-Witten curves for ADE quivers

2012/10/31 by Francesco Fucito, Jose F. Morales, Daniel Ricci Pacifici · 33 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dynamics (music) #Gauge (firearms) #Gauge group #Gauge theory #M-theory #Noncommutative and Quantum Gravity Theories #Quiver #Supersymmetric gauge theory #hep-th

paper · pdf · doi:10.1007/jhep01(2013)091

published in Journal of High Energy Physics 2013(1) (Springer Nature) · 19 pages, 1 figure. References added

arxiv created 2012/11/05 · openalex publication_date 2013/01/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive Seiberg-Witten like equations encoding the dynamics of N=2 ADE quiver gauge theories in presence of a non-trivial Omega-background along a two dimensional plane. The epsilon-deformed prepotential and the chiral correlators of the gauge theory are extracted from difference equations that can be thought as a non-commutative (or quantum) version of the Seiberg-Witten curves for the quiver.

Citations

• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories

Cited by

• Holomorphic field realization of SH c and quantum geometry of quiver gauge theories
• Mayer-cluster expansion of instanton partition functions and thermodynamic bethe ansatz
• BPS states in the duality web of the Omega deformation
• Seiberg-Witten geometry of four-dimensional N=2 SO–USp quiver gauge theories

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