TY - JOUR
T1 - On the quantum moduli space of vacua of N = 2 supersymmetric SU(Nc) gauge theories
AU - Hanany, Amihay
AU - Oz, Yaron
N1 - Funding Information:
There has been much progress recently in the study of non-perturbative properties of N = 1 and N = 2 four-dimensional supersymmetric field theories. Of particular importance to the analysis is the concept of holomorphy \[1 \]. In the N = 1 theories, 1 E-mail: [email protected]. 2 E-mail: [email protected]. 3 Work supported in part by the US-Israel Binational Science Foundation, tile Israel Academy of Science and GIF, The German-Israeli Foundation for Scientific research.
PY - 1995/10/9
Y1 - 1995/10/9
N2 - We construct families of hyper-elliptic curves which describe the quantum moduli spaces of vacua of N = 2 supersymmetric SU(Nc) gauge theories coupled to Nf flavors of quarks in the fundamental representation. The quantum moduli spaces for Nf < Nc are determined completely by imposing R-symmetry, instanton corrections and the proper classical singularity structure. These curves are verified by residue and weak coupling monodromy calculations. The quantum moduli spaces for Nf ≥ Nc 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.
AB - We construct families of hyper-elliptic curves which describe the quantum moduli spaces of vacua of N = 2 supersymmetric SU(Nc) gauge theories coupled to Nf flavors of quarks in the fundamental representation. The quantum moduli spaces for Nf < Nc are determined completely by imposing R-symmetry, instanton corrections and the proper classical singularity structure. These curves are verified by residue and weak coupling monodromy calculations. The quantum moduli spaces for Nf ≥ Nc 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.
UR - https://www.scopus.com/pages/publications/0000464605
U2 - 10.1016/0550-3213(95)00376-4
DO - 10.1016/0550-3213(95)00376-4
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AN - SCOPUS:0000464605
SN - 0550-3213
VL - 452
SP - 283
EP - 312
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1-2
ER -