Abstract
We consider type II (non-)geometric flux backgrounds in the absence of brane sources, and construct their explicit embedding into maximal gauged D = 4 supergravity. This enables one to investigate the critical points, mass spectra and gauge groups of such backgrounds. We focus on a class of type IIA geometric vacua and find a novel, nonsupersymmetric and stable AdS vacuum in maximal supergravity with a non-semisimple gauge group. Our construction relies on a non-trivial mapping between SL(2) × SO(6, 6) fluxes, SU(8) mass spectra and gaugings of E7(7) subgroups.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Graña, Flux compactifications in string theory: a comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [INSPIRE].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [INSPIRE].
S. Kachru, M.B. Schulz and S. Trivedi, Moduli stabilization from fluxes in a simple IIB orientifold, JHEP 10 (2003) 007 [hep-th/0201028] [INSPIRE].
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization, JHEP 07 (2005) 066 [hep-th/0505160] [INSPIRE].
P.G. Camara, A. Font and L. Ibáñez, Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold, JHEP 09 (2005) 013 [hep-th/0506066] [INSPIRE].
G. Aldazabal, P.G. Camara, A. Font and L. Ibáñez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [INSPIRE].
G. Aldazabal and A. Font, A second look at N = 1 supersymmetric AdS 4 vacua of type IIA supergravity, JHEP 02 (2008) 086 [arXiv:0712.1021] [INSPIRE].
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] [INSPIRE].
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] [INSPIRE].
J.-P. Derendinger, C. Kounnas, P. Petropoulos and F. Zwirner, Fluxes and gaugings: N = 1 effective superpotentials, Fortsch. Phys. 53 (2005) 926 [hep-th/0503229] [INSPIRE].
A. Saltman and E. Silverstein, The scaling of the no scale potential and de Sitter model building, JHEP 11 (2004) 066 [hep-th/0402135] [INSPIRE].
C. Caviezel et al., On the cosmology of type IIA compactifications on SU(3)-structure manifolds, JHEP 04 (2009) 010 [arXiv:0812.3551] [INSPIRE].
B. de Carlos, A. Guarino and J.M. Moreno, Complete classification of Minkowski vacua in generalised flux models, JHEP 02 (2010) 076 [arXiv:0911.2876] [INSPIRE].
U.H. Danielsson et al., De Sitter hunting in a classical landscape, Fortsch. Phys. 59 (2011) 897 [arXiv:1103.4858] [INSPIRE].
G. Aldazabal, P.G. Camara and J. Rosabal, Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications, Nucl. Phys. B 814 (2009) 21 [arXiv:0811.2900] [INSPIRE].
G. Dall’Agata, G. Villadoro and F. Zwirner, Type-IIA flux compactifications and N = 4 gauged supergravities, JHEP 08 (2009) 018 [arXiv:0906.0370] [INSPIRE].
G. Dibitetto, R. Linares and D. Roest, Flux compactifications, gauge algebras and de Sitter, Phys. Lett. B 688 (2010) 96 [arXiv:1001.3982] [INSPIRE].
G. Dibitetto, A. Guarino and D. Roest, Charting the landscape of N = 4 flux compactifications, JHEP 03 (2011) 137 [arXiv:1102.0239] [INSPIRE].
J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications, JHEP 10 (2005) 085 [hep-th/0508133] [INSPIRE].
H. Samtleben, Lectures on gauged supergravity and flux compactifications, Class. Quant. Grav. 25 (2008) 214002 [arXiv:0808.4076] [INSPIRE].
D. Andriot, M. Larfors, D. Lüst and P. Patalong, A ten-dimensional action for non-geometric fluxes, JHEP 09 (2011) 134 [arXiv:1106.4015] [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].
M. Graña, R. Minasian, M. Petrini and D. Waldram, T-duality, generalized geometry and non-geometric backgrounds, JHEP 04 (2009) 075 [arXiv:0807.4527] [INSPIRE].
A. Coimbra, C. Strickland-Constable and D. Waldram, Supergravity as generalised geometry I: type II theories, JHEP 11 (2011) 091 [arXiv:1107.1733] [INSPIRE].
C.M. Hull, Doubled geometry and T-folds, JHEP 07 (2007) 080 [hep-th/0605149] [INSPIRE].
C. Hull and R. Reid-Edwards, Gauge symmetry, T-duality and doubled geometry, JHEP 08 (2008)043 [arXiv:0711.4818] [INSPIRE].
C. Hull and R. Reid-Edwards, Non-geometric backgrounds, doubled geometry and generalised T-duality, JHEP 09 (2009) 014 [arXiv:0902.4032] [INSPIRE].
G. Dall’Agata, N. Prezas, H. Samtleben and M. Trigiante, Gauged supergravities from twisted doubled tori and non-geometric string backgrounds, Nucl. Phys. B 799 (2008) 80 [arXiv:0712.1026] [INSPIRE].
C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Generalized metric formulation of double field theory, JHEP 08 (2010) 008 [arXiv:1006.4823] [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Stringy differential geometry, beyond Riemann, Phys. Rev. D 84 (2011) 044022 [arXiv:1105.6294] [INSPIRE].
M. Duff, Duality rotations in string theory, Nucl. Phys. B 335 (1990) 610 [INSPIRE].
M. Duff and J. Lu, Duality rotations in membrane theory, Nucl. Phys. B 347 (1990) 394 [INSPIRE].
G. Aldazabal, W. Baron, D. Marques and C. Núñez, The effective action of double field theory, JHEP 11 (2011) 052 [Erratum ibid. 11 (2011) 109] [arXiv:1109.0290] [INSPIRE].
D. Geissbuhler, Double field theory and N = 4 gauged supergravity, JHEP 11 (2011) 116 [arXiv:1109.4280] [INSPIRE].
M. Graña and D. Marques, Gauged double field theory, arXiv:1201.2924 [INSPIRE].
G. Aldazabal, D. Marques, C. Núñez and J.A. Rosabal, On type IIB moduli stabilization and N =4, 8 supergravities, Nucl. Phys. B 849 (2011) 80 [arXiv:1101.5954] [INSPIRE].
G. Dibitetto, A. Guarino and D. Roest, How to halve maximal supergravity, JHEP 06 (2011) 030 [arXiv:1104.3587] [INSPIRE].
C. Hull, Generalised geometry for M-theory, JHEP 07 (2007) 079 [hep-th/0701203] [INSPIRE].
P.P. Pacheco and D. Waldram, M-theory, exceptional generalised geometry and superpotentials, JHEP 09 (2008) 123 [arXiv:0804.1362] [INSPIRE].
D.S. Berman and M.J. Perry, Generalized geometry and M-theory, JHEP 06 (2011) 074 [arXiv:1008.1763] [INSPIRE].
D.S. Berman, H. Godazgar, M. Godazgar and M.J. Perry, The local symmetries of M-theory and their formulation in generalised geometry, JHEP 01 (2012) 012 [arXiv:1110.3930] [INSPIRE].
D.C. Thompson, Duality invariance: from M-theory to double field theory, JHEP 08 (2011) 125 [arXiv:1106.4036] [INSPIRE].
G. Aldazabal, E. Andres, P.G. Camara and M. Graña, U-dual fluxes and generalized geometry, JHEP 11 (2010) 083 [arXiv:1007.5509] [INSPIRE].
N. Warner, Some new extrema of the scalar potential of gauged N = 8 supergravity, Phys. Lett. B 128 (1983) 169 [INSPIRE].
N. Warner, Some properties of the scalar potential in gauged supergravity theories, Nucl. Phys. B 231 (1984) 250 [INSPIRE].
T. Fischbacher, K. Pilch and N.P. Warner, New supersymmetric and stable, non-supersymmetric phases in supergravity and holographic field theory, arXiv:1010.4910 [INSPIRE].
T. Fischbacher, Fourteen new stationary points in the scalar potential of SO(8)-gauged N = 8, D = 4 supergravity, JHEP 09 (2010) 068 [arXiv:0912.1636] [INSPIRE].
T. Fischbacher, The encyclopedic reference of critical points for SO(8)-gauged N = 8 supergravity. Part 1: cosmological constants in the range −Λ/g 2 ∈ [6 : 14.7), arXiv:1109.1424 [INSPIRE].
C. Hull and N. Warner, Noncompact gaugings from higher dimensions, Class. Quant. Grav. 5 (1988) 1517 [INSPIRE].
G. Dall’Agata and G. Inverso, On the vacua of N = 8 gauged supergravity in 4 dimensions, Nucl. Phys. B 859 (2012) 70 [arXiv:1112.3345] [INSPIRE].
A. Borghese, R. Linares and D. Roest, Minimal stability in maximal supergravity, arXiv:1112.3939 [INSPIRE].
B. de Wit, H. Samtleben and M. Trigiante, The maximal D = 4 supergravities, JHEP 06 (2007) 049 [arXiv:0705.2101] [INSPIRE].
A. Le Diffon, H. Samtleben and M. Trigiante, N = 8 supergravity with local scaling symmetry, JHEP 04 (2011) 079 [arXiv:1103.2785] [INSPIRE].
B. de Wit and D.Z. Freedman, On SO(8) extended supergravity, Nucl. Phys. B 130 (1977) 105 [INSPIRE].
B. de Wit, Properties of SO(8) extended supergravity, Nucl. Phys. B 158 (1979) 189 [INSPIRE].
E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159 (1979) 141 [INSPIRE].
D. Roest and J. Rosseel, De Sitter in extended supergravity, Phys. Lett. B 685 (2010) 201 [arXiv:0912.4440] [INSPIRE].
B. de Wit, H. Samtleben and M. Trigiante, Maximal supergravity from IIB flux compactifications, Phys. Lett. B 583 (2004) 338 [hep-th/0311224] [INSPIRE].
C. Angelantonj, S. Ferrara and M. Trigiante, Unusual gauged supergravities from type IIA and type IIB orientifolds, Phys. Lett. B 582 (2004) 263 [hep-th/0310136] [INSPIRE].
C. Angelantonj, S. Ferrara and M. Trigiante, New D = 4 gauged supergravities from N = 4 orientifolds with fluxes, JHEP 10 (2003) 015 [hep-th/0306185] [INSPIRE].
D. Roest, Gaugings at angles from orientifold reductions, Class. Quant. Grav. 26 (2009) 135009 [arXiv:0902.0479] [INSPIRE].
J. Schon and M. Weidner, Gauged N = 4 supergravities, JHEP 05 (2006) 034 [hep-th/0602024] [INSPIRE].
N. Bobev, N. Halmagyi, K. Pilch and N.P. Warner, Supergravity instabilities of non-supersymmetric quantum critical points, Class. Quant. Grav. 27 (2010) 235013 [arXiv:1006.2546] [INSPIRE].
D. Cassani and A.F. Faedo, Constructing Lifshitz solutions from AdS, JHEP 05 (2011) 013 [arXiv:1102.5344] [INSPIRE].
N. Halmagyi, M. Petrini and A. Zaffaroni, Non-relativistic solutions of N = 2 gauged supergravity, JHEP 08 (2011) 041 [arXiv:1102.5740] [INSPIRE].
M. de Roo and P. Wagemans, Gauge matter coupling in N = 4 supergravity, Nucl. Phys. B 262 (1985) 644 [INSPIRE].
G. Dibitetto, A. Guarino and D. Roest, Vacua analysis in extended supersymmetry compactifications, Fortsch. Phys. 1-4 (2012) [arXiv:1112.1306] [INSPIRE].
M.P. Hertzberg, S. Kachru, W. Taylor and M. Tegmark, Inflationary constraints on type IIA string theory, JHEP 12 (2007) 095 [arXiv:0711.2512] [INSPIRE].
E. Silverstein, Simple de Sitter solutions, Phys. Rev. D 77 (2008) 106006 [arXiv:0712.1196] [INSPIRE].
S.S. Haque, G. Shiu, B. Underwood and T. Van Riet, Minimal simple de Sitter solutions, Phys. Rev. D 79 (2009) 086005 [arXiv:0810.5328] [INSPIRE].
B. de Carlos, A. Guarino and J.M. Moreno, Flux moduli stabilisation, supergravity algebras and no-go theorems, JHEP 01 (2010) 012 [arXiv:0907.5580] [INSPIRE].
C. Caviezel, T. Wrase and M. Zagermann, Moduli stabilization and cosmology of type IIB on SU(2)-structure orientifolds, JHEP 04 (2010) 011 [arXiv:0912.3287] [INSPIRE].
U.H. Danielsson, P. Koerber and T. Van Riet, Universal de Sitter solutions at tree-level, JHEP 05 (2010) 090 [arXiv:1003.3590] [INSPIRE].
A. Van Proeyen, Tools for supersymmetry, hep-th/9910030 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1202.0770
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Dibitetto, G., Guarino, A. & Roest, D. Exceptional flux compactifications. J. High Energ. Phys. 2012, 56 (2012). https://doi.org/10.1007/JHEP05(2012)056
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2012)056