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BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D | | A. Tanzini
; O.S. Ventura
; L.C.Q. Vilar
; S.P. Sorella
; | | Date: |
20 Nov 1998 | | Journal: | J.Phys. G26 (2000) 1117-1130 | | Subject: | hep-th | | 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 $trphi^2$ 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. | | Source: | arXiv, hep-th/9811191 | | Services: | Forum | Review | PDF | Favorites | |
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