RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM

Details RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM RG Flow Irreversibility, C-Theorem and Topological Nature of 4D N=2 SYM

1997-12-02

arxiv.org/abs/hep-th/9712025v4

Phys.Rev. D58 (1998) 045006

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX file. Discussion on WDVV and integrability. References added. Version published in PRD

Scientific paper

10.1103/PhysRevD.58.045006

We determine the exact beta function and a RG flow Lyapunov function for N=2 SYM with 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 non-perturbative 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 which we formulate for the full SU(n) theory. Our investigation provides further evidence of the essentially topological nature of the theory.

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