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.
Cite
@article{arxiv.hep-th/9804010,
title = {Nonholomorphic N=2 terms in N=4 SYM: 1-Loop Calculation in N=2 superspace},
author = {F. Gonzalez-Rey and M. Rocek},
journal= {arXiv preprint arXiv:hep-th/9804010},
year = {2009}
}
Comments
12 pages, LaTex, includes 4 .eps figures, sign convention in path integral definition changed, sign of nonholomorphic potential changed