Cohomological Reduction of Sigma Models

Details Cohomological Reduction of Sigma Models Cohomological Reduction of Sigma Models

2010-01-08

arxiv.org/abs/1001.1344v1

JHEP 1005:047,2010

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 2 tables, 1 figure

Scientific paper

10.1007/JHEP05(2010)047

This article studies some features of quantum field theories with internal supersymmetry, focusing mainly on 2-dimensional non-linear sigma models which take values in a coset superspace. It is discussed how BRST operators from the target space supersymmetry algebra can be used to identify subsectors which are often simpler than the original model and may allow for an explicit computation of correlation functions. After an extensive discussion of the general reduction scheme, we present a number of interesting examples, including symmetric superspaces $G/G^{\mathbb{Z}_2}$ and coset superspaces of the form $G/G^{\mathbb{Z}_4}$.

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