Algebraic renormalization of N=2 superYang-Mills theories coupled to matter

Maggiore, Nicola

doi:10.1142/S0217751X95001789

Algebraic renormalization of N=2 superYang-Mills theories coupled to matter

Nicola Maggiore
(
- Geneva U.
)

Dec, 1994

29 pages

Published in:

Int.J.Mod.Phys.A 10 (1995) 3781-3802

e-Print:

hep-th/9501057 [hep-th]

DOI:

10.1142/S0217751X95001789

Report number:

UGVA-DPT-1994-12-876

View in:

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Abstract: (arXiv)

We study the algebraic renormalization of

N=2

Supersymmetric Yang--Mills theories coupled to matter. A regularization procedure preserving both the BRS invariance and the supersymmetry is not known yet, therefore it is necessary to adopt the algebraic method of renormalization, which does not rely on any regularization scheme. The whole analysis is reduced to the solution of cohomology problems arising from the generalized Slavnov operator which summarizes all the symmetries of the model. Besides to unphysical renormalizations of the quantum fields, we find that the only coupling constant of

N=2

SYMs can get quantum corrections. Moreover we prove that all the symmetries defining the theory are algebraically anomaly--free.

Note:

typing error in eq. (A.9) corrected

gauge field theory: Yang-Mills
supersymmetry
coupling: matter
matter: coupling
transformation: Becchi-Rouet-Stora
renormalization
Slavnov identity
cohomology

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