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

Georgios Michalogiorgakis·Steven S. Gubser
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Abstract

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 α'. This beta function encodes partial information about the spacetime effective action for the heterotic string to all orders in α'. 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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Georgios Michalogiorgakis, Steven S. Gubser. 2006-05-09. Heterotic non-linear sigma models with anti-de Sitter target spaces. https://doi.org/10.1016/j.nuclphysb.2006.08.026

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