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Published January 9, 1997 | Submitted
Journal Article Open

Related N = 2 SUSY Yang Mills Theories and Instanton Expansion

Abstract

The low energy effective actions of the N = 2 SUSY SU(N_c) QCD are considered at the symmetric point on the moduli space. The classes of such theories have similar spectral curves. This fact allows us to show that all these models have the same structure of the coupling matrix and to show that the N_f = 2N_c spectral curve can not be presented as a double covering of the sphere. We calculate first instanton contributions to the coupling matrix and get nonperturbative β-functions in the SU(2) gauge theory with non-zero bare masses of the matter hypermultiplets.

Additional Information

© 1997 Published by Elsevier. Received 23 August 1996, Revised 25 October 1996, Available online 14 May 1998. We are indebted to A. Morozov for helpful discussions and comments. S. Gukov would like to thank A. Mironov and S. Khoroshkin for teaching him some useful mathematical background. I. Polyubin is grateful to the Institute of Theoretical Physics at Hannover for kind hospitality where part of this work was done. The work of S.G. was partially supported by RFBR grant No. 95-01-00755, the work of I.P. by grants RFBR-96-01-01106 and INTAS-93-1038. I. Polyubin also would like to thank Volkswagen Stiftung project "Integrable models and strings" for financial support.

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