Low-Energy Effective Action of N=2 Gauge Multiplet Induced by Hypermultiplet Matter

Abstract

We study one-loop effective action of hypermultiplet theory coupled to external N=2 vector multiplet. We formulate this theory in N=1 superspace and develop a general approach to constructing derivative expansion of the effective action based on an operator symbol technique adopted to N=1 supersymmetric field models. The approach under consideration allows to investigate on a unique ground a general structure of effective action and obtain both N=2 superconformal invariant (non-holomorphic) corrections and anomaly (holomorphic) corrections. The leading low-energy contributions to effective action are found in explicit form.

LaTeX, 27 pages, minor corrections

References in corpus (7)

• Operads and Motives in Deformation Quantization
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• On Low-Energy Effective Actions in N = 2, 4 Superconformal Theories in Four Dimensions
• On the concept of determinant for the differential operators of Quantum Physics
• On Holomorphic Effective Actions of Hypermultiplets Coupled to External Gauge Superfields
• Non-Renormalization Theorems for Operators with Arbitrary Numbers of Derivatives in $\mathcal{N}=4$ Yang Mills Theory
• N=4 Super Yang-Mills Low-Energy Effective Action at Three and Four Loops

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