We determine the exact beta function and a RG flow Lyapunov function for N=2 super-Yang-Mills (SYM) theory with the gauge group SU(n). It turns out that the classical discriminants of the Seiberg-Witten curves determine the RG potential. The radial irreversibility of the RG flow in the SU(2) case and the nonperturbative identity relating the u modulus and the superconformal anomaly indicate the existence of a four-dimensional analogue of the c theorem for N=2 SYM theory which we formulate for the full SU(n) theory. Our investigation provides further evidence of the essentially topological nature of the theory.

RG FLOW IRREVERSIBILITY, C THEOREM AND TOPOLOGICAL NATURE OF 4-D N=2 SYM

MATONE, MARCO
1998

Abstract

We determine the exact beta function and a RG flow Lyapunov function for N=2 super-Yang-Mills (SYM) theory with the gauge group SU(n). It turns out that the classical discriminants of the Seiberg-Witten curves determine the RG potential. The radial irreversibility of the RG flow in the SU(2) case and the nonperturbative identity relating the u modulus and the superconformal anomaly indicate the existence of a four-dimensional analogue of the c theorem for N=2 SYM theory which we formulate for the full SU(n) theory. Our investigation provides further evidence of the essentially topological nature of the theory.
1998
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/120408
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