BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D

Abstract

The BRST cohomology of the N=2 supersymmetric Yang-Mills theory in four dimensions is discussed by making use of the twisted version of the N=2 algebra. By the introduction of a set of suitable constant ghosts associated to the generators of N=2, the quantization of the model can be done by taking into account both gauge invariance and supersymmetry. In particular, we show how the twisted N=2 algebra can be used to obtain in a straightforward way the relevant cohomology classes. Moreover, we shall be able to establish a very useful relationship between the local gauge invariant polynomial $tr{\varphi }^2$ and the complete N=2 Yang-Mills action. This important relation can be considered as the first step towards a fully algebraic proof of the one-loop exactness of the N=2 beta function.

22 pages, LaTeX, final version to appear in Journ. Phys. G

References in corpus (1)

• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories

Cited by in corpus (6)

• Topological Vector Symmetry of BRSTQFT and Construction of Maximal Supersymmetry
• Protected Operators in N=2,4 Supersymmetric Theories
• An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories
• Superconformal invariance from N=2 supersymmetry Ward identities
• Super Background Field Method for N=2 SYM
• Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension