Heterotic non-linear sigma models with anti-de Sitter target spaces

Details Heterotic non-linear sigma models with anti-de Sitter target spaces Heterotic non-linear sigma models with anti-de Sitter target spaces

2006-05-09

arxiv.org/abs/hep-th/0605102v1

Nucl.Phys.B757:146-171,2006

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 7 figures

Scientific paper

10.1016/j.nuclphysb.2006.08.026

We calculate the beta function of non-linear sigma models with S^{D+1} and AdS_{D+1} target spaces in a 1/D expansion up to order 1/D^2 and to all orders in \alpha'. This beta function encodes partial information about the spacetime effective action for the heterotic string to all orders in \alpha'. We argue that a zero of the beta function, corresponding to a worldsheet CFT with AdS_{D+1} target space, arises from competition between the one-loop and higher-loop terms, similarly to the bosonic and supersymmetric cases studied previously in hep-th/0512355. Various critical exponents of the non-linear sigma model are calculated, and checks of the calculation are presented.

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