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

Georgios Michalogiorgakis, Steven S. Gubser

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We calculate the beta function of non-linear sigma models with SD + 1 and AdSD + 1 target spaces in a 1 / D expansion up to order 1 / D2 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 AdSD + 1 target space, arises from competition between the one-loop and higher-loop terms, similarly to the bosonic and supersymmetric cases studied previously in [J.J. Friess, S.S. Gubser, Non-linear sigma models with anti-de Sitter target spaces, Nucl. Phys. B 750 (2006) 111-141]. Various critical exponents of the non-linear sigma model are calculated, and checks of the calculation are presented.

Original languageEnglish (US)
Pages (from-to)146-171
Number of pages26
JournalNuclear Physics B
Volume757
Issue number1-2
DOIs
StatePublished - Nov 20 2006

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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