Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-02-23
JHEP 0506:004,2005
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, LaTeX, no figures
Scientific paper
10.1088/1126-6708/2005/06/004
We consider N=1 supersymmetric gauge theories in which the couplings are allowed to be space-time dependent functions. Both the gauge and the superpotential couplings become chiral superfields. As has recently been shown, a new topological anomaly appears in models with space-time dependent gauge coupling. Here we show how this anomaly may be used to derive the NSVZ beta function in a particular, well-determined renormalisation scheme, both without and with chiral matter. Moreover we extend the topological anomaly analysis to theories coupled to a classical curved superspace background, and use it to derive an all-order expression for the central charge c, the coefficient of the Weyl tensor squared contribution to the conformal anomaly. We also comment on the implications of our results for the central charge a expected to be of relevance for a four-dimensional C-theorem.
Babington James
Erdmenger Johanna
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