Abstract
Using the method of simple current extensions, asymmetric Gepner models of Type IIB with \( \mathcal{N} \) = 1 space-time supersymmetry are constructed. The combinatorics of the massless vector fields suggests that these classical Minkowski string vacua provide fully backreacted solutions corresponding to \( \mathcal{N} \) = 1 minima of \( \mathcal{N} \) = 2 gauged supergravity. The latter contain abelian gaugings along the axionic isometries in the hypermultiplet moduli space, and can be considered as Type IIB flux compactifications on Calabi-Yau manifolds equipped with (non-)geometric fluxes. For a particular class of asymmetric Gepner models, we are able to explicitly specify the underlying CICYs and to check necessary conditions for a GSUGRA interpretation. If this conjecture is correct, there exists a large class of exactly solvable non-geometric flux compactifications on CY threefolds.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D. Gepner, Space-Time Supersymmetry in Compactified String Theory and Superconformal Models, Nucl. Phys. B 296 (1988) 757 [INSPIRE].
D. Gepner, Exactly Solvable String Compactifications on Manifolds of SU(N ) Holonomy, Phys. Lett. B 199 (1987) 380 [INSPIRE].
A.N. Schellekens and S. Yankielowicz, Extended Chiral Algebras and Modular Invariant Partition Functions, Nucl. Phys. B 327 (1989) 673 [INSPIRE].
A.N. Schellekens and S. Yankielowicz, Modular Invariants From Simple Currents: An Explicit Proof, Phys. Lett. B 227 (1989) 387 [INSPIRE].
R. Blumenhagen and A. Wisskirchen, Exactly solvable (0,2) supersymmetric string vacua with GUT gauge groups, Nucl. Phys. B 454 (1995) 561 [hep-th/9506104] [INSPIRE].
R. Blumenhagen, R. Schimmrigk and A. Wisskirchen, The (0, 2) exactly solvable structure of chiral rings, Landau-Ginzburg theories and Calabi-Yau manifolds, Nucl. Phys. B 461 (1996) 460 [hep-th/9510055] [INSPIRE].
R. Blumenhagen, R. Schimmrigk and A. Wisskirchen, (0, 2) mirror symmetry, Nucl. Phys. B 486 (1997) 598 [hep-th/9609167] [INSPIRE].
A.N. Schellekens and S. Yankielowicz, New Modular Invariants for \( \mathcal{N} \) = 2 Tensor Products and Four-dimensional Strings, Nucl. Phys. B 330 (1990) 103 [INSPIRE].
B. Gato-Rivera and A.N. Schellekens, Asymmetric Gepner Models: Revisited, Nucl. Phys. B 841 (2010) 100 [arXiv:1003.6075] [INSPIRE].
B. Gato-Rivera and A.N. Schellekens, Asymmetric Gepner Models II. Heterotic Weight Lifting, Nucl. Phys. B 846 (2011) 429 [arXiv:1009.1320] [INSPIRE].
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, Generalized structures of \( \mathcal{N} \) = 1 vacua, JHEP 11 (2005) 020 [hep-th/0505212] [INSPIRE].
M. Graña, J. Louis and D. Waldram, Hitchin functionals in \( \mathcal{N} \) = 2 supergravity, JHEP 01 (2006) 008 [hep-th/0505264] [INSPIRE].
I. Benmachiche and T.W. Grimm, Generalized \( \mathcal{N} \) = 1 orientifold compactifications and the Hitchin functionals, Nucl. Phys. B 748 (2006) 200 [hep-th/0602241] [INSPIRE].
M. Graña, J. Louis and D. Waldram, SU(3) × SU(3) compactification and mirror duals of magnetic fluxes, JHEP 04 (2007) 101 [hep-th/0612237] [INSPIRE].
D. Cassani and A. Bilal, Effective actions and \( \mathcal{N} \) = 1 vacuum conditions from SU(3) × SU(3) compactifications, JHEP 09 (2007) 076 [arXiv:0707.3125] [INSPIRE].
G. Aldazabal, D. Marques and C. Núñez, Double Field Theory: A Pedagogical Review, Class. Quant. Grav. 30 (2013) 163001 [arXiv:1305.1907] [INSPIRE].
D.S. Berman and D.C. Thompson, Duality Symmetric String and M-theory, Phys. Rept. 566 (2014) 1 [arXiv:1306.2643] [INSPIRE].
O. Hohm, D. Lüst and B. Zwiebach, The Spacetime of Double Field Theory: Review, Remarks and Outlook, Fortsch. Phys. 61 (2013) 926 [arXiv:1309.2977] [INSPIRE].
R. Blumenhagen, A. Font and E. Plauschinn, Relating double field theory to the scalar potential of \( \mathcal{N} \) = 2 gauged supergravity, JHEP 12 (2015) 122 [arXiv:1507.08059] [INSPIRE].
J. Louis and A. Micu, Type 2 theories compactified on Calabi-Yau threefolds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168] [INSPIRE].
G. Dall’Agata, String compactifications with fluxes, Class. Quant. Grav. 21 (2004) S1479 [INSPIRE].
R. D’Auria, S. Ferrara, M. Trigiante and S. Vaula, Gauging the Heisenberg algebra of special quaternionic manifolds, Phys. Lett. B 610 (2005) 147 [hep-th/0410290] [INSPIRE].
R. D’Auria, S. Ferrara, M. Trigiante and S. Vaula, Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory, Phys. Lett. B 610 (2005) 270 [hep-th/0412063] [INSPIRE].
R. D’Auria, S. Ferrara and M. Trigiante, On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds, Nucl. Phys. B 780 (2007) 28 [hep-th/0701247] [INSPIRE].
S. Ferrara, L. Girardello and M. Porrati, Minimal Higgs branch for the breaking of half of the supersymmetries in \( \mathcal{N} \) = 2 supergravity, Phys. Lett. B 366 (1996) 155 [hep-th/9510074] [INSPIRE].
D. Cassani, S. Ferrara, A. Marrani, J.F. Morales and H. Samtleben, A special road to AdS vacua, JHEP 02 (2010) 027 [arXiv:0911.2708] [INSPIRE].
J. Louis, P. Smyth and H. Triendl, Spontaneous \( \mathcal{N} \) = 2 to \( \mathcal{N} \) = 1 Supersymmetry Breaking in Supergravity and Type II String Theory, JHEP 02 (2010) 103 [arXiv:0911.5077] [INSPIRE].
J. Louis, P. Smyth and H. Triendl, The \( \mathcal{N} \) = 1 Low-Energy Effective Action of Spontaneously Broken \( \mathcal{N} \) = 2 Supergravities, JHEP 10 (2010) 017 [arXiv:1008.1214] [INSPIRE].
T. Hansen and J. Louis, Examples of \( \mathcal{N} \) = 2 to \( \mathcal{N} \) = 1 supersymmetry breaking, JHEP 11 (2013) 075 [arXiv:1306.5994] [INSPIRE].
R. Blumenhagen et al., A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory, Nucl. Phys. B 897 (2015) 500 [arXiv:1503.07634] [INSPIRE].
A. Dabholkar and C. Hull, Duality twists, orbifolds and fluxes, JHEP 09 (2003) 054 [hep-th/0210209] [INSPIRE].
A. Flournoy and B. Williams, Nongeometry, duality twists and the worldsheet, JHEP 01 (2006) 166 [hep-th/0511126] [INSPIRE].
C. Condeescu, I. Florakis and D. Lüst, Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory, JHEP 04 (2012) 121 [arXiv:1202.6366] [INSPIRE].
C. Condeescu, I. Florakis, C. Kounnas and D. Lüst, Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT‘s, JHEP 10 (2013) 057 [arXiv:1307.0999] [INSPIRE].
D. Israël and V. Thiéry, Asymmetric Gepner models in type-II, JHEP 02 (2014) 011 [arXiv:1310.4116] [INSPIRE].
D. Israël, Nongeometric Calabi-Yau compactifications and fractional mirror symmetry, Phys. Rev. D 91 (2015) 066005 [arXiv:1503.01552] [INSPIRE].
R. Blumenhagen and E. Plauschinn, Introduction to conformal field theory, Lect. Notes Phys. 779 (2009) 1.
D. Cassani, Reducing democratic type-II supergravity on SU(3) × SU(3) structures, JHEP 06 (2008) 027 [arXiv:0804.0595] [INSPIRE].
L. Andrianopoli, R. D’Auria, S. Ferrara and M.A. Lledó, \( \mathcal{N} \) = 2 superHiggs, \( \mathcal{N} \) = 1 Poincaré vacua and quaternionic geometry, JHEP 01 (2003) 045 [hep-th/0212236] [INSPIRE].
N. Kaloper and L. Sorbo, A Natural Framework for Chaotic Inflation, Phys. Rev. Lett. 102 (2009) 121301 [arXiv:0811.1989] [INSPIRE].
N. Kaloper, A. Lawrence and L. Sorbo, An Ignoble Approach to Large Field Inflation, JCAP 03 (2011) 023 [arXiv:1101.0026] [INSPIRE].
S. Bielleman, L.E. Ibáñez and I. Valenzuela, Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness, JHEP 12 (2015) 119 [arXiv:1507.06793] [INSPIRE].
A. Klemm, M. Kreuzer, E. Riegler and E. Scheidegger, Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections, JHEP 05 (2005) 023 [hep-th/0410018] [INSPIRE].
M. Kreuzer, E. Riegler and D.A. Sahakyan, Toric complete intersections and weighted projective space, J. Geom. Phys. 46 (2003) 159 [math/0103214] [INSPIRE].
A. Klemm, M. Kreuzer, E. Riegler and E. Scheidegger, Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections, JHEP 05 (2005) 023 [hep-th/0410018] [INSPIRE].
J. Fuchs, A. Klemm, C. Scheich and M.G. Schmidt, Gepner Models With Arbitrary Affine Invariants and the Associated Calabi-Yau Spaces, Phys. Lett. B 232 (1989) 317 [INSPIRE].
J. Fuchs, A. Klemm, C. Scheich and M.G. Schmidt, Spectra and Symmetries of Gepner Models Compared to Calabi-Yau Compactifications, Annals Phys. 204 (1990) 1 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1608.00595
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Blumenhagen, R., Fuchs, M. & Plauschinn, E. Partial SUSY breaking for asymmetric Gepner models and non-geometric flux vacua. J. High Energ. Phys. 2017, 105 (2017). https://doi.org/10.1007/JHEP01(2017)105
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2017)105