Systematic study of theories with quantum modified moduli. I

Abstract

We begin the process of classifying all supersymmetric theories with quantum modified moduli. We determine all theories based on a single SU or Sp gauge group with quantum modified moduli. By flowing among theories we have calculated the precise modifications to the algebraic constraints that determine the moduli at the quantum level. We find a class of theories, those with a classical constraint that is covariant but not invariant under global symmetries, that have a singular modification to the moduli, which consists of a new branch. 11.30. Pb, 11.15.Tk Typeset using REVT E X

Wess-Zumino Terms in Supersymmetric Gauge Theories

“…The generalization of these results to Sp͑2n͒ theories is given at the end of this paper. Similar results should also hold for other quantum deformed theories [9].…”

“…The Wess-Zumino term has been written as the imaginary part of the integral in Eq. (9). Only the imaginary part has a quantized coefficient and contributes to the anomalous Ward identities.…”

Vanishing superconformal indices and the chiral symmetry breaking

“…Originally such a physical effect was considered for SU(N )-gauge group supersymmetric quantum chromodynamics with N f = N and it should be contrasted to the so-called s-confinement occurring at N f = N + 1 (i.e., the confinement without breaking global symmetries). Later the theories with quantum modified moduli space were systematically studied in [34,35]. SCIs of such theories are not well defined, in particular, they were not computed from the first principles using the localization techniques.…”

More confining N = 1 SUSY gauge theories from non-Abelian duality

“…We take their normalization which assigns µ = 1 to the fundamental of SU and Sp groups and µ = 2 to the vector of SO. 3 Some further confining models with non-vanishing tree-level superpotential are discussed in [7].…”