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The general (2, 2) gauged sigma model with three-form flux

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.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Tomasiello, Alessandro0000-0002-5772-5729
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
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Department of Energy (DOE)DE-AC03-76SF00515
Subject Keywords:Superstring Vacua; Extended Supersymmetry; Differential and Algebraic Geometry; Flux compactifications
Issue or Number:11
Record Number:CaltechAUTHORS:KAPjhep07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9246
Deposited By: Archive Administrator
Deposited On:29 Nov 2007
Last Modified:02 Oct 2019 23:58

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