Kapustin, Anton and Tomasiello, Alessandro (2007) The general (2, 2) gauged sigma model with three-form flux. Journal of High Energy Physics, 2007 (11). Art. No. 053. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:KAPjhep07
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Abstract
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vector field define an on-shell Script N = (2, 2) supersymmetric gauged sigma model. The conditions are that the manifold admits a twisted generalized Kähler structure, that the vector field preserves this structure, and that a so-called generalized moment map exists for it. By a theorem in generalized complex geometry, these conditions imply that the quotient is again a twisted generalized Kähler manifold; this is in perfect agreement with expectations from the renormalization group flow. This method can produce new Script N = (2, 2) models with NS flux, extending the usual Kähler quotient construction based on Kähler gauged sigma models.
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Additional Information: | © 2007 SISSA. Received 14 September 2007, accepted for publication 7 November 2007. Published 19 November 2007. We would like to thank Marco Gualtieri for useful correspondence. A.K. is supported in part by the DOE under contract DOE-FG03-92-ER40701. A.T. is supported by the DOE under contract DEAC03-76SF00515 and by the NSF under contract 9870115. E-print number: hep-th/0610210 | ||||||||||||
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Subject Keywords: | Superstring Vacua; Extended Supersymmetry; Differential and Algebraic Geometry; Flux compactifications | ||||||||||||
Issue or Number: | 11 | ||||||||||||
Record Number: | CaltechAUTHORS:KAPjhep07 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:KAPjhep07 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 9246 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Archive Administrator | ||||||||||||
Deposited On: | 29 Nov 2007 | ||||||||||||
Last Modified: | 02 Oct 2019 23:58 |
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