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Solitons, superpotentials and calibrations

Gukov, Sergei (2000) Solitons, superpotentials and calibrations. Nuclear Physics B, 574 (1-2). pp. 169-188. ISSN 0550-3213. doi:10.1016/S0550-3213(00)00053-5.

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In this paper we study several issues related to the generation of the superpotential induced by background Ramond–Ramond fluxes in compactification of Type IIA string theory on Calabi–Yau four-folds. Identifying BPS solitons with D-branes wrapped over calibrated submanifolds in a Calabi–Yau space, we propose a general formula for the superpotential and justify it comparing the supersymmetry conditions in D=2 and D=10 supergravity theories. We also suggest a geometric interpretation to the supersymmetric index in the two-dimensional effective theory in terms of topological invariants of the Calabi–Yau four-fold, and estimate the asymptotic growth of these invariants from BTZ black hole entropy. Finally, we explicitly construct new supersymmetric vacua for Type IIA string theory compactification on a Calabi–Yau four-fold with Ramond–Ramond fluxes.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2000 Elsevier Science B.V. I would like to express my gratitude to S. James Gates and especially to Edward Witten for helpful discussions and constant encouragement. The work was supported in part by the Caltech Discovery Fund, grant RFBR No 98-02-16575 and Russian President’s grant No 96-15-96939.
Funding AgencyGrant Number
Caltech Discovery FundUNSPECIFIED
Russian Foundation for Basic Research98-02-16575
Russian Foundation for Basic Research96-15-96939
Issue or Number:1-2
Classification Code:PACS: 11.25.Sq
Record Number:CaltechAUTHORS:20160511-131311298
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Official Citation:Sergei Gukov, Solitons, superpotentials and calibrations, Nuclear Physics B, Volume 574, Issues 1–2, 15 May 2000, Pages 169-188, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66995
Deposited By: Tony Diaz
Deposited On:11 May 2016 21:28
Last Modified:11 Nov 2021 00:25

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