Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories

Abstract

We study the low-energy dynamics of noncommutative $\mathbb{N}=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations.

typos corrected

References in corpus (2)

• Renormalization of noncommutative U(N) gauge theories
• On non-commutative N=2 super Yang-Mills

Cited by in corpus (31)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
• Instability of Non-Commutative SYM Theories at Finite Temperature
• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• Notes on Noncommutative Instantons
• Constraining noncommutative field theories with holography
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• On the IR/UV mixing and experimental limits on the parameters of canonical noncommutative spacetimes
• Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
• On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
• On non-commutative N=2 super Yang-Mills
• Telltale Traces of U(1) Fields in Noncommutative Standard Model Extensions
• Noncommutativity, Extra Dimensions, and Power Law Running in the Infrared
• Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion
• Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories
• Noncommutative Standard Modelling
• Noncommutativity and Model Building
• A bound on the scale of spacetime noncommutativity from the reheating phase after inflation
• Noncommutative Cohomological Field Theory and GMS soliton
• A Noncommutative Version of the Minimal Supersymmetric Standard Model
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• Propagators in Noncommutative Instantons
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• On Low-Energy Effective Action of Noncommutative Hypermultiplet Model
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• On the Chiral Ring of N=1 Supersymmetric Gauge Theories
• Noncommutative N=2 Supersymmetric Theories in Harmonic Superspace
• Non-Commutative Gauge Theories and the Cosmological Constant