Hypermultiplet effective action: N = 2 superspace approach

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, latex, no figures; comments and references added, typos corrected

Scientific paper

10.1016/S0370-2693(01)00735-3

In an earlier paper (hep-th/0101127), we developed heat kernel techniques in N = 2 harmonic superspace for the calculation of the low-energy effective action of N = 4 SYM theory, which can be considered as the most symmetric N = 2 SYM theory. Here, the results are extended to generic N = 2 SYM theories. This involves a prescription for computing the variation of the hypermultiplet effective action. Integrability of this variation allows the hypermultiplet effective action to be deduced. This prescription permits a very simple superfield derivation of the perturbative holomorphic prepotential. Explicit calculations of the prepotential and the leading non-holomorphic correction are presented.

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