Nonholomorphic N=2 terms in N=4 SYM: 1-Loop Calculation in N=2 superspace

Abstract

The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonholomorphic corrections integrated with the full N=2 superspace measure. By adding a hypermultiplet in the adjoint representation we study the effective action of N=4 SYM. The nonanomalous SU(4) R-symmetry of the classical N=4 theory must be also present in the on-shell effective action, and therefore we expect to find similar nonholomorphic terms for each of the scalars in the hypermultiplet. The N=2 path integral quantization formalism developed in projective superspace allows us to compute these hypermultiplet nonholomorphic terms directly in N=2 superspace. The corresponding gauge multiplet expression can be successfully compared with the result inferred from a N=1 calculation in the abelian subsector.

12 pages, LaTex, includes 4 .eps figures, sign convention in path integral definition changed, sign of nonholomorphic potential changed

References in corpus (1)

• Non-holomorphic terms in N=2 SUSY Wilsonian actions and RG equation

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