On the quantum moduli space of vacua of N = 2 supersymmetric SU (N_{c}) gauge theories
Abstract
We construct families of hyperelliptic curves which describe the quantum moduli spaces of vacua of N = 2 supersymmetric SU( N_{c}) gauge theories coupled to N_{f} flavors of quarks in the fundamental representation. The quantum moduli spaces for N_{f} < N_{c} are determined completely by imposing Rsymmetry, instanton corrections and the proper classical singularity structure. These curves are verified by residue and weak coupling monodromy calculations. The quantum moduli spaces for N_{f} ⩾ N_{c} theories are parameterized and their general structure is worked out using residue calculations. Global symmetry considerations suggest a complete description of them. The results are supported by weak coupling monodromy calculations. The exact metrics on the quantum moduli spaces as well as the exact spectrum of stable massive states are derived. We find an example of a novel symmetry of a quantum moduli space: Invariance under the exchange of a moduli parameter and the bare mass. We apply our method for the construction of the quantum moduli spaces of vacua of N = 1 supersymmetric theories in the Coulomb phase.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)003764
 arXiv:
 arXiv:hepth/9505075
 Bibcode:
 1995NuPhB.452..283H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 35 pages, latex