Abstract
In a recent paper, we derived the leading α′ corrections to the Kähler potentials for moduli in (0, 2) heterotic compactifications. In the same spirit as the LARGE volume stabilization scenario for type IIB orientifolds, we examine whether these quantum corrections, together with a combination of tree-level and non-perturbative superpotentials, are sufficient to stabilize the overall volume modulus at large values. This is not a priori obvious, since the corrections we found are of a lower order than those used in the type IIB setting. Nevertheless, we find that stabilizing the volume at (exponentially) large values may be possible (under certain conditions) in these heterotic backgrounds.
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K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [SPIRES].
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four-folds, Nucl. Phys. B 584 (2000) 69 [Erratum ibid. B 608 (2001) 477] [hep-th/9906070] [SPIRES].
M. Graña, Flux compactifications in string theory: a comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [SPIRES].
J.-P. Derendinger, C. Kounnas, P.M. Petropoulos and F. Zwirner, Superpotentials in IIA compactifications with general fluxes, Nucl. Phys. B 715 (2005) 211 [hep-th/0411276] [SPIRES].
G. Villadoro and F. Zwirner, N = 1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes, JHEP 06 (2005) 047 [hep-th/0503169] [SPIRES].
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization, JHEP 07 (2005) 066 [hep-th/0505160] [SPIRES].
T. House and E. Palti, Effective action of (massive) IIA on manifolds with SU(3) structure, Phys. Rev. D 72 (2005) 026004 [hep-th/0505177] [SPIRES].
K. Behrndt, M. Cvetič and T. Liu, Classification of supersymmetric flux vacua in M-theory, Nucl. Phys. B 749 (2006) 25 [hep-th/0512032] [SPIRES].
L. Anguelova and K. Zoubos, Flux superpotential in heterotic M-theory, Phys. Rev. D 74 (2006) 026005 [hep-th/0602039] [SPIRES].
A. Micu, E. Palti and P.M. Saffin, M-theory on seven-dimensional manifolds with SU(3) structure, JHEP 05 (2006) 048 [hep-th/0602163] [SPIRES].
I. Benmachiche and T.W. Grimm, Generalized N = 1 orientifold compactifications and the Hitchin functionals, Nucl. Phys. B 748 (2006) 200 [hep-th/0602241] [SPIRES].
A. Micu, E. Palti and G. Tasinato, Towards minkowski vacua in type II string compactifications, JHEP 03 (2007) 104 [hep-th/0701173] [SPIRES].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [SPIRES].
B.S. Acharya, K. Bobkov, G. Kane, P. Kumar and D. Vaman, An M-theory solution to the hierarchy problem, Phys. Rev. Lett. 97 (2006) 191601 [hep-th/0606262] [SPIRES].
B.S. Acharya, K. Bobkov, G.L. Kane, J. Shao and P. Kumar, The G 2 -MSSM — An M theory motivated model of particle physics, Phys. Rev. D 78 (2008) 065038 [arXiv:0801.0478] [SPIRES].
K. Becker, M. Becker, K. Dasgupta and S. Prokushkin, Properties of heterotic vacua from superpotentials, Nucl. Phys. B 666 (2003) 144 [hep-th/0304001] [SPIRES].
G. Lopes Cardoso, G. Curio, G. Dall’Agata and D. Lüst, BPS action and superpotential for heterotic string compactifications with fluxes, JHEP 10 (2003) 004 [hep-th/0306088] [SPIRES].
S. Gurrieri, A. Lukas and A. Micu, Heterotic on half-flat, Phys. Rev. D 70 (2004) 126009 [hep-th/0408121] [SPIRES].
K. Becker, M. Becker, K. Dasgupta and P.S. Green, Compactifications of heterotic theory on non-Kähler complex manifolds: I, JHEP 04 (2003) 007 [hep-th/0301161] [SPIRES].
G. Curio, A. Krause and D. Lust, Moduli Stabilization in the Heterotic/IIB Discretuum, Fortsch. Phys. 54 (2006) 225 [hep-th/0502168] [SPIRES].
V. Braun, M. Kreuzer, B.A. Ovrut and E. Scheidegger, Worldsheet instantons and torsion curves, arXiv:0801.4154 [SPIRES].
V. Braun, M. Kreuzer, B.A. Ovrut and E. Scheidegger, Worldsheet instantons, torsion curves and non-perturbative superpotentials, Phys. Lett. B 649 (2007) 334 [hep-th/0703134] [SPIRES].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [SPIRES].
E. Witten, New issues in manifolds of SU(3) holonomy, Nucl. Phys. B 268 (1986) 79 [SPIRES].
L. Witten and E. Witten, Large radius expansion of superstring compactifications, Nucl. Phys. B 281 (1987) 109 [SPIRES].
J. Gillard, G. Papadopoulos and D. Tsimpis, Anomaly, fluxes and (2, 0) heterotic-string compactifications, JHEP 06 (2003) 035 [hep-th/0304126] [SPIRES].
L. Anguelova, C. Quigley and S. Sethi, The leading quantum corrections to stringy Kähler potentials, JHEP 10 (2010) 065 [arXiv:1007.4793] [SPIRES].
P. Candelas, X.C. De La Ossa, P.S. Green and L. Parkes, A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory, Nucl. Phys. B 359 (1991) 21 [SPIRES].
M. Becker and D. Constantin, A note on flux induced superpotentials in string theory, JHEP 08 (2003) 015 [hep-th/0210131] [SPIRES].
E. Palti, G. Tasinato and J. Ward, WEAKLY-coupled IIA flux compactifications, JHEP 06 (2008) 084 [arXiv:0804.1248] [SPIRES].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [SPIRES].
K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and α′-corrections to flux induced potentials, JHEP 06 (2002) 060 [hep-th/0204254] [SPIRES].
M. Dine, N. Seiberg, X.G. Wen and E. Witten, Nonperturbative effects on the string world sheet, Nucl. Phys. B 278 (1986) 769 [SPIRES].
M. Dine, N. Seiberg, X.G. Wen and E. Witten, Nonperturbative effects on the string world sheet. 2, Nucl. Phys. B 289 (1987) 319 [SPIRES].
J. Distler, Resurrecting (2, 0) compactifications, Phys. Lett. B 188 (1987) 431 [SPIRES].
J. Distler and B.R. Greene, Aspects of (2, 0) string compactifications, Nucl. Phys. B 304 (1988) 1 [SPIRES].
E. Silverstein and E. Witten, Criteria for conformal invariance of (0, 2) models, Nucl. Phys. B 444 (1995) 161 [hep-th/9503212] [SPIRES].
A. Basu and S. Sethi, World-sheet stability of (0, 2) linear σ-models, Phys. Rev. D 68 (2003) 025003 [hep-th/0303066] [SPIRES].
C. Beasley and E. Witten, Residues and world-sheet instantons, JHEP 10 (2003) 065 [hep-th/0304115] [SPIRES].
S. Gukov, S. Kachru, X. Liu and L. McAllister, Heterotic moduli stabilization with fractional Chern-Simons invariants, Phys. Rev. D 69 (2004) 086008 [hep-th/0310159] [SPIRES].
H. Looyestijn and S. Vandoren, On NS5-brane instantons and volume stabilization, JHEP 04 (2008) 024 [arXiv:0801.3949] [SPIRES].
M. Cicoli, J.P. Conlon and F. Quevedo, General analysis of LARGE volume scenarios with string loop moduli stabilisation, JHEP 10 (2008) 105 [arXiv:0805.1029] [SPIRES].
M. Cicoli, J.P. Conlon and F. Quevedo, Systematics of string loop corrections in type IIB Calabi-Yau flux compactifications, JHEP 01 (2008) 052 [arXiv:0708.1873] [SPIRES].
G. Lopes Cardoso et al., Non-Kähler string backgrounds and their five torsion classes, Nucl. Phys. B 652 (2003) 5 [hep-th/0211118] [SPIRES].
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ArXiv ePrint: 1007.5047
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Anguelova, L., Quigley, C. Quantum corrections to heterotic moduli potentials. J. High Energ. Phys. 2011, 113 (2011). https://doi.org/10.1007/JHEP02(2011)113
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DOI: https://doi.org/10.1007/JHEP02(2011)113