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Instantons and non-perturbative dynamics of N = 2 supersymmetric Abelian gauge theories in two dimensions

1997/10/31 by Alexander A. Penin, A. A. Penin
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0550-3213(98)00467-2

published as Nucl.Phys. B532 (1998) 83-98 · journal version

arxiv created 1998/06/19 · openalex publication_date 1998/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study N=2 supersymmetric Abelian gauge model with the Fayet-Iliopoulos term and an arbitrary number of chiral matter multiplets in two dimensions. By analyzing the instanton contribution we compute the non-perturbative corrections to the mass spectrum of the theory and the quantum deformation of the classical vacua space. In contrast to known examples the non-perturbative bosonic potential is saturated by the one-instanton contribution and can be directly found within the semiclassical expansion around the one-instanton saddle point.

Citations