×

zbMATH — the first resource for mathematics

Moduli stabilization from magnetic fluxes in type I string theory. (English) Zbl 1207.81098
Summary: We show that type I string theory compactified in four dimensions in the presence of constant internal magnetic fields possesses \(\mathcal N=1\) supersymmetric vacua, in which all Kähler class and complex structure closed string moduli are fixed. Furthermore, their values can be made arbitrarily large by a suitable tuning of the quantized magnetic fluxes. We present an explicit example for the toroidal compactification on \(T^{6}\) and discuss Calabi–Yau generalizations. This mechanism can be complementary to other stabilization methods using closed string fluxes but has the advantage of having an exact string description and thus a validity away from the low-energy supergravity approximation. Moreover, it can be easily implemented in constructions of string models based on intersecting D-branes.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Kachru, S.; Schulz, M.B.; Trivedi, S., Jhep, 0310, 007, (2003)
[2] For a recent review see S.P. Trivedi, talk in Stings 2004, and references therein
[3] Gukov, S.; Vafa, C.; Witten, E.; Gukov, S.; Vafa, C.; Witten, E.; Gukov, S., Nucl. phys. B, Nucl. phys. B, Nucl. phys. B, 574, 169, (2000), Erratum
[4] Kachru, S.; Kallosh, R.; Linde, A.; Trivedi, S.P.; Kachru, S.; Tripathi; Trivedi, S.P., Phys. rev. D, 68, 046005, (2003)
[5] Fradkin, E.S.; Tseytlin, A.A.; Abouelsaood, A.; Callan, C.G.; Nappi, C.R.; Yost, S.A.; Nesterenko, V.V., Phys. lett. B, Nucl. phys. B, Int. J. mod. phys. A, 4, 2627, (1989)
[6] Bachas, C.
[7] Blumenhagen, R.; Lust, D.; Taylor, T.R.; Cascales, J.F.G.; Uranga, A.M., Nucl. phys. B, Jhep, 0305, 011, (2003)
[8] Moore, G.W.
[9] Candelas, P.; de la Ossa, X., Nucl. phys. B, 355, 455, (1991)
[10] Marino, M.; Minasian, R.; Moore, G.W.; Strominger, A., Jhep, 0001, 005, (2000)
[11] Angelantonj, C.; Antoniadis, I.; Dudas, E.; Sagnotti, A., Phys. lett. B, 489, 223, (2000)
[12] Bianchi, M.; Pradisi, G.; Sagnotti, A.; Angelantonj, C.; Angelantonj, C.; Sagnotti, A.; Blumenhagen, R.; Kors, B.; Lust, D., Nucl. phys. B, Nucl. phys. B, Jhep, 0102, 030, (2001)
[13] Blumenhagen, R.; Goerlich, L.; Kors, B.; Lust, D., Fortschr. phys., 49, 591, (2001)
[14] Bergshoeff, E.; Townsend, P.K., Nucl. phys. B, 490, 145, (1997)
[15] Bergshoeff, E.; Kallosh, R.; Ortin, T.; Papadopoulos, G., Nucl. phys. B, 502, 149, (1997)
[16] Angelantonj, C.; Sagnotti, A.; Angelantonj, C.; Sagnotti, A., Phys. rep., Phys. rep., 376, 339, (2003), Erratum, and references therein
[17] Mihailescu, M.; Park, I.Y.; Tran, T.A.; Witten, E., Phys. rev. D, Jhep, 0204, 012, (2002)
[18] Antoniadis, I.; Antoniadis, I.; Arkani-Hamed, N.; Dimopoulos, S.; Dvali, G.R., Phys. lett. B, Phys. lett. B, 436, 257, (1998)
[19] Strominger, A., Phys. rev. lett., 55, 2547, (1985)
[20] Ferrara, S.; Harvey, J.A.; Strominger, A.; Vafa, C., Phys. lett. B, 361, 59, (1995)
[21] Bianchi, M.; Sagnotti, A.; Bianchi, M.; Sagnotti, A.; Gimon, E.G.; Polchinski, J., Phys. lett. B, Nucl. phys. B, Phys. rev. D, 54, 1667, (1996)
[22] L.J. Dixon, SLAC-PUB-5229, Invited talk given at 15th APS Division of Particles and Fields General Meeting, Houston, TX, 3-6 January 1990
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.