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IIA string theory on Calabi-Yau fourfolds with background fluxes

Gukov, Sergei and Haack, Michael (2002) IIA string theory on Calabi-Yau fourfolds with background fluxes. Nuclear Physics B, 639 (1-2). pp. 95-128. ISSN 0550-3213. doi:10.1016/S0550-3213(02)00442-X.

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Looking for string vacua with fixed moduli, we study compactifications of type IIA string theory on Calabi–Yau fourfolds in the presence of generic Ramond–Ramond fields. We explicitly derive the (super)potential induced by Ramond–Ramond fluxes performing a Kaluza–Klein reduction of the ten-dimensional effective action. This can be conveniently achieved in a formulation of the massive type IIA supergravity where all Ramond–Ramond fields appear in a democratic way. The result agrees with the general formula for the superpotential written in terms of calibrations. We further notice that for generic Ramond–Ramond fluxes all geometric moduli are stabilized and one finds non-supersymmetric vacua at positive values of the scalar potential.

Item Type:Article
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Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2002 Elsevier Science B.V. Received 24 April 2002, Accepted 30 May 2002, Available online 17 June 2002. We thank M. Berg, R. Kallosh, J. Louis, A. Strominger, and E. Witten for useful discussions. This research was partially conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of S.G. is also supported in part by grant RFBR No. 01-02-17488, and the Russian President's grant No. 00-15-99296. M.H. would like to thank the University of Princeton and especially I. Klebanov for hospitality at the beginning of the work. Moreover M.H. thanks the DFG for financial support and his work was supported in part by INFN, by the EC contract HPRN-CT-2000-00122, by the EC contract HPRN-CT-2000-00148, by the INTAS contract 99-0-590 and by the MURST-COFIN contract 2001-025492.
Funding AgencyGrant Number
Clay Mathematics InstituteUNSPECIFIED
Russian Foundation for Basic Research01-02-17488
Russian Foundation for Basic Research00-15-99296
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
Istituto Nazionale di Fisica Nucleare (INFN)UNSPECIFIED
European UnionHPRN-CT-2000-00122
European UnionHPRN-CT-2000-00148
Ministero dell ’Università e della Ricerca Scientifica e Tecnologica (MURST)2001-025492
Issue or Number:1-2
Classification Code:PACS: 11.10.Kk; 11.25.-w; 11.25.Mj
Record Number:CaltechAUTHORS:20160505-083954824
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Official Citation:Sergei Gukov, Michael Haack, IIA string theory on Calabi–Yau fourfolds with background fluxes, Nuclear Physics B, Volume 639, Issues 1–2, 2002, Pages 95-128, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66675
Deposited By: Tony Diaz
Deposited On:05 May 2016 22:41
Last Modified:11 Nov 2021 00:01

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