Supersymmetric Adler-Bardeen anomaly in N=1 super-Yang-Mills theories

Details Supersymmetric Adler-Bardeen anomaly in N=1 super-Yang-Mills theories Supersymmetric Adler-Bardeen anomaly in N=1 super-Yang-Mills theories

2008-09-09

arxiv.org/abs/0809.1638v2

Phys.Lett.B670:165-168,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages ; references added

Scientific paper

10.1016/j.physletb.2008.10.047

We provide a study of the supersymmetric Adler--Bardeen anomaly in the $\N=1, d=4,6,10$ super-Yang--Mills theories. We work in the component formalism that includes shadow fields, for which Slavnov--Taylor identities can be independently set for both gauge invariance and supersymmetry. We find a method with improved descent equations for getting the solutions of the consistency conditions of both Slavnov--Taylor identities and finding the local field polynomials for the standard Adler--Bardeen anomaly and its supersymmetric counterpart. We give the explicit solution for the ten-dimensional case.

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