×

String instantons, fluxes and moduli stabilization. (English) Zbl 1219.81209

Summary: We analyze a class of dual pairs of heterotic and type I models based on freely-acting \(\mathbb Z_2 \times \mathbb Z_2\) orbifolds in four dimensions. Using the adiabatic argument, it is possible to calculate non-perturbative contributions to the gauge coupling threshold corrections on the type I side by exploiting perturbative calculations on the heterotic side, without the drawbacks due to twisted moduli. The instanton effects can then be combined with closed-string fluxes to stabilize most of the moduli fields of the internal manifold, and also the dilaton, in a racetrack realization of the type I model.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

References:

[1] Witten, E., Non-perturbative superpotentials in string theory, Nucl. Phys. B, 474, 343 (1996) · Zbl 0925.32012
[2] Ganor, O. J., A note on zeroes of superpotentials in F-theory, Nucl. Phys. B, 499, 55 (1997) · Zbl 0934.81043
[3] Billo, M.; Frau, M.; Fucito, F.; Lerda, A., JHEP, 0611, 012 (2006)
[4] Blumenhagen, R.; Cvetic, M.; Lust, D.; Richter, R.; Weigand, T., Non-perturbative Yukawa couplings from string instantons · Zbl 1228.81224
[5] Antusch, S.; Ibanez, L. E.; Macri, T., Neutrino masses and mixings from string theory instantons
[6] Argurio, R.; Bertolini, M.; Franco, S.; Kachru, S., Metastable vacua and D-branes at the conifold, JHEP, 0706, 017 (2007)
[7] Billo, M.; Frau, M.; Pesando, I.; Di Vecchia, P.; Lerda, A.; Marotta, R., Instantons in \(N = 2\) magnetized D-brane worlds
[8] Billo, M.; Frau, M.; Lerda, A., \(N = 2\) instanton calculus in closed string background · Zbl 1142.81358
[9] Affleck, I.; Dine, M.; Seiberg, N., Dynamical supersymmetry breaking in supersymmetric QCD, Nucl. Phys. B, 241, 493 (1984)
[10] Haack, M.; Krefl, D.; Lust, D.; Van Proeyen, A.; Zagermann, M., Gaugino condensates and D-terms from D7-branes, JHEP, 0701, 078 (2007)
[11] Angelantonj, C.; Bianchi, M.; Pradisi, G.; Sagnotti, A.; Stanev, Y. S., Phys. Lett. B, 385, 96 (1996)
[12] Vafa, C.; Witten, E., Dual string pairs with \(N = 1\) and \(N = 2\) supersymmetry in four dimensions, Nucl. Phys. B (Proc. Suppl.), 46, 225 (1996) · Zbl 0957.81590
[13] Kiritsis, E.; Obers, N. A.; Pioline, B., Heterotic/type II triality and instantons on K3, JHEP, 0001, 029 (2000) · Zbl 0990.81583
[14] Giddings, S. B.; Kachru, S.; Polchinski, J., Hierarchies from fluxes in string compactifications, Phys. Rev. D, 66, 106006 (2002)
[15] Casas, J. A.; Lalak, Z.; Munoz, C.; Ross, G. G., Hierarchical supersymmetry breaking and dynamical determination of compactification parameters by nonperturbative effects, Nucl. Phys. B, 347, 243 (1990)
[16] Akerblom, N.; Blumenhagen, R.; Lust, D.; Schmidt-Sommerfeld, M., Instantons and holomorphic couplings in intersecting D-brane models · Zbl 1326.81139
[17] Kiritsis, E.; Kounnas, C., Perturbative and non-perturbative partial supersymmetry breaking: \(N = 4 \to N = 2 \to N = 1\), Nucl. Phys. B, 503, 117 (1997) · Zbl 0979.81570
[18] Antoniadis, I.; D’Appollonio, G.; Dudas, E.; Sagnotti, A., Partial breaking of supersymmetry, open strings and M-theory, Nucl. Phys. B, 553, 133 (1999) · Zbl 0958.81128
[19] Larosa, M.; Pradisi, G., Magnetized four-dimensional \(Z_2 \times Z_2\) orientifolds, Nucl. Phys. B, 667, 261 (2003) · Zbl 1059.81593
[20] Bianchi, M.; Pradisi, G.; Sagnotti, A., Toroidal compactification and symmetry breaking in open string theories, Nucl. Phys. B, 376, 365 (1992) · Zbl 0825.81015
[21] Dudas, E., Theory and phenomenology of type I strings and M-theory, Class. Quantum Grav., 17, R41 (2000) · Zbl 1052.81582
[22] Cremmer, E.; Scherk, J.; Schwarz, J. H., Spontaneously broken \(N = 8\) supergravity, Phys. Lett. B, 84, 83 (1979)
[23] Gimon, E. G.; Polchinski, J., Consistency conditions for orientifolds and D-manifolds, Phys. Rev. D, 54, 1667 (1996)
[24] Veneziano, G.; Yankielowicz, S., An effective Lagrangian for the pure \(N = 1\) supersymmetric Yang-Mills theory, Phys. Lett. B, 113, 231 (1982)
[25] Seiberg, N., Exact results on the space of vacua of four-dimensional SUSY gauge theories, Phys. Rev. D, 49, 6857 (1994)
[26] Angelantonj, C.; Cardella, M.; Irges, N., Phys. Lett. B, 641, 474 (2006) · Zbl 1248.81147
[27] Ibanez, L. E.; Nilles, H. P.; Quevedo, F., Reducing the rank of the gauge group in orbifold compactifications of the heterotic string, Phys. Lett. B, 192, 332 (1987)
[28] Bachas, C.; Porrati, M., Pair creation of open strings in an electric field, Phys. Lett. B, 296, 77 (1992)
[29] Bachas, C.; Fabre, C., Threshold effects in open-string theory, Nucl. Phys. B, 476, 418 (1996) · Zbl 0925.81186
[30] Antoniadis, I.; Bachas, C.; Dudas, E., Gauge couplings in four-dimensional type I string orbifolds, Nucl. Phys. B, 560, 93 (1999) · Zbl 0957.81058
[31] Kaplunovsky, V.; Louis, J., On gauge couplings in string theory, Nucl. Phys. B, 444, 191 (1995) · Zbl 0990.81667
[32] Kaplunovsky, V. S., One loop threshold effects in string unification
[33] Dixon, L. J.; Kaplunovsky, V.; Louis, J., Moduli dependence of string loop corrections to gauge coupling constants, Nucl. Phys. B, 355, 649 (1991)
[34] Dienes, K. R., String theory and the path to unification: A review of recent developments, Phys. Rep., 287, 447 (1997), for a review, see
[35] Gava, E.; Morales, J. F.; Narain, K. S.; Thompson, G., Bound states of type I D-strings, Nucl. Phys. B, 528, 95 (1998) · Zbl 0951.81031
[36] Blumenhagen, R.; Kors, B.; Lust, D.; Stieberger, S., Four-dimensional string compactifications with D-branes, orientifolds and fluxes, Phys. Rep., 445, 1 (2007)
[37] Kaloper, N.; Myers, R. C., The O(dd) story of massive supergravity, JHEP, 9905, 010 (1999) · Zbl 0955.83037
[38] Gurrieri, S.; Louis, J.; Micu, A.; Waldram, D., Mirror symmetry in generalized Calabi-Yau compactifications, Nucl. Phys. B, 654, 61 (2003) · Zbl 1010.81071
[39] Kachru, S.; Schulz, M. B.; Tripathy, P. K.; Trivedi, S. P., New supersymmetric string compactifications, JHEP, 0303, 061 (2003)
[40] Fidanza, S.; Minasian, R.; Tomasiello, A., Mirror symmetric SU(3)-structure manifolds with NS fluxes, Commun. Math. Phys., 254, 401 (2005) · Zbl 1080.32022
[41] Aldazabal, G.; Camara, P. G.; Font, A.; Ibanez, L. E., More dual fluxes and moduli fixing, JHEP, 0605, 070 (2006)
[42] Parameswaran, S. L.; Westphal, A., de Sitter string vacua from perturbative Kähler corrections and consistent D-terms, JHEP, 0610, 079 (2006)
[43] Freedman, D. Z.; Gibbons, G. W., Electrovac ground state in gauged SU(2) × SU(2) supergravity, Nucl. Phys. B, 233, 24 (1984)
[44] Antoniadis, I.; Bachas, C.; Sagnotti, A., Gauged supergravity vacua in string theory, Phys. Lett. B, 235, 255 (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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.