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Heterotic strings on homogeneous spaces
Author(s) -
Israël D.,
Kounnas C.,
Orlando D.,
Petropoulos P.M.
Publication year - 2005
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200510250
Subject(s) - heterotic string theory , dilaton , pure mathematics , coset , physics , theoretical physics , conformal map , homogeneous space , mathematics , invariant (physics) , homogeneous , compactification (mathematics) , mathematical physics , discrete mathematics , combinatorics , mathematical analysis , geometry
We construct heterotic string backgrounds corresponding to families of homogeneous spaces as exact conformal field theories. They contain left cosets of compact groups by their maximal tori supported by NS‐NS 2‐forms and gauge field fluxes. We give the general formalism and modular‐invariant partition functions, then we consider some examples such as SU (2)/ U (1) ~ S 2 (already described in a previous paper) and the SU (3)/ U (1) 2 flag space. As an application we construct new supersymmetric string vacua with magnetic fluxes and a linear dilaton.