Computation of the Central Charge for the Leading Order of the N=2 Super-Yang-Mills Effective Action

Details Computation of the Central Charge for the Leading Order of the N=2 Super-Yang-Mills Effective Action Computation of the Central Charge for the Leading Order of the N=2 Super-Yang-Mills Effective Action

1999-05-26

arxiv.org/abs/hep-th/9905194v1

Mod.Phys.Lett. A14 (1999) 2789-2995

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX, Submitted to Phys.Let.B

Scientific paper

10.1142/S0217732399002923

The central charge in the N=2 Super-Yang-Mills theory plays an essential role in the work of Seiberg and Witten as it gives the mass spectrum of the BPS states of the quantum theory. Our aim in this note is to present a direct computation of this central charge for the leading order (in a momentum expansion) of the effective action. We will consider the N=2 Super-Yang-Mills theory with gauge group SU(2). The leading order of the effective action is given by the same holomorphic function F appearing in the low energy U(1) effective action.

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