Implementing odd-axions in dimensional oxidation of 4D non-geometric type IIB scalar potential. (English) Zbl 1332.81190
Summary: In a setup of type IIB superstring compactification on an orientifold of a \(\mathbb{T}^6 / \mathbb{Z}_4\) sixfold, the presence of geometric flux (\(\omega\)) and non-geometric fluxes (\(Q,\; R\)) is implemented along with the standard NS-NS and RR three-form fluxes (\(H,\; F\)). After computing the F/D-term contributions to the \(\mathcal{N} = 1\) four dimensional effective scalar potential, we rearrange the same into ’suitable’ pieces by using a set of new generalized flux orbits. Subsequently, we dimensionally oxidize the various pieces of the total four dimensional scalar potential to guess their ten-dimensional origin.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
Keywords:
compactification on orientifoldReferences:
| [1] | Derendinger, J.-P.; Kounnas, C.; Petropoulos, P. M.; Zwirner, F., Superpotentials in IIA compactifications with general fluxes, Nucl. Phys. B, 715, 211-233 (2005) · Zbl 1207.81113 |
| [2] | Derendinger, J.-P.; Kounnas, C.; Petropoulos, P.; Zwirner, F., Fluxes and gaugings: \(N = 1\) effective superpotentials, Fortschr. Phys., 53, 926-935 (2005) · Zbl 1069.81044 |
| [3] | Shelton, J.; Taylor, W.; Wecht, B., Nongeometric flux compactifications, J. High Energy Phys., 0510, Article 085 pp. (2005) |
| [4] | Samtleben, H., Lectures on Gauged supergravity and flux compactifications, Class. Quantum Gravity, 25, 214002 (2008) · Zbl 1152.83306 |
| [5] | Dall’Agata, G.; Villadoro, G.; Zwirner, F., Type-IIA flux compactifications and \(N = 4\) gauged supergravities, J. High Energy Phys., 0908, Article 018 pp. (2009) |
| [6] | Aldazabal, G.; Marques, D.; Nunez, C.; Rosabal, J. A., On type IIB moduli stabilization and \(N = 4, 8\) supergravities, Nucl. Phys. B, 849, 80-111 (2011) · Zbl 1215.83051 |
| [7] | Dibitetto, G.; Fernandez-Melgarejo, J.; Marques, D.; Roest, D., Duality orbits of non-geometric fluxes, Fortschr. Phys., 60, 1123-1149 (2012) · Zbl 1255.83125 |
| [8] | Villadoro, G.; Zwirner, F., \(N = 1\) effective potential from dual type-IIA D6/O6 orientifolds with general fluxes, J. High Energy Phys., 0506, Article 047 pp. (2005) |
| [9] | Aldazabal, G.; Camara, P. G.; Font, A.; Ibanez, L., More dual fluxes and moduli fixing, J. High Energy Phys., 0605, Article 070 pp. (2006) |
| [10] | Aldazabal, G.; Camara, P. G.; Rosabal, J., Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications, Nucl. Phys. B, 814, 21-52 (2009) · Zbl 1194.83090 |
| [11] | Guarino, A.; Weatherill, G. J., Non-geometric flux vacua, S-duality and algebraic geometry, J. High Energy Phys., 0902, Article 042 pp. (2009) · Zbl 1245.81171 |
| [12] | Hull, C., A geometry for non-geometric string backgrounds, J. High Energy Phys., 0510, Article 065 pp. (2005) |
| [13] | Kumar, A.; Vafa, C., U manifolds, Phys. Lett. B, 396, 85-90 (1997) |
| [14] | Hull, C. M.; Catal-Ozer, A., Compactifications with S duality twists, J. High Energy Phys., 0310, Article 034 pp. (2003) |
| [15] | Font, A.; Guarino, A.; Moreno, J. M., Algebras and non-geometric flux vacua, J. High Energy Phys., 0812, Article 050 pp. (2008) · Zbl 1329.81311 |
| [16] | de Carlos, B.; Guarino, A.; Moreno, J. M., Complete classification of Minkowski vacua in generalised flux models, J. High Energy Phys., 1002, Article 076 pp. (2010) · Zbl 1270.81161 |
| [17] | Blumenhagen, R.; Font, A.; Fuchs, M.; Herschmann, D.; Plauschinn, E., A flux-scaling scenario for high-scale moduli stabilization in string theory · Zbl 1329.81304 |
| [18] | Danielsson, U.; Dibitetto, G., On the distribution of stable de Sitter vacua, J. High Energy Phys., 1303, Article 018 pp. (2013) |
| [19] | Blåbäck, J.; Danielsson, U.; Dibitetto, G., Fully stable dS vacua from generalised fluxes, J. High Energy Phys., 1308, Article 054 pp. (2013) · Zbl 1342.83334 |
| [20] | Damian, C.; Diaz-Barron, L. R.; Loaiza-Brito, O.; Sabido, M., Slow-roll inflation in non-geometric flux compactification, J. High Energy Phys., 1306, Article 109 pp. (2013) · Zbl 1342.83352 |
| [21] | Damian, C.; Loaiza-Brito, O., More stable de Sitter vacua from S-dual nongeometric fluxes, Phys. Rev. D, 88, 4, Article 046008 pp. (2013) |
| [22] | Hassler, F.; Lust, D.; Massai, S., On inflation and de Sitter in non-geometric string backgrounds · Zbl 1535.83126 |
| [23] | Blumenhagen, R.; Font, A.; Fuchs, M.; Herschmann, D.; Plauschinn, E., Towards axionic Starobinsky-like inflation in string theory · Zbl 1343.83048 |
| [24] | Andriot, D.; Larfors, M.; Lust, D.; Patalong, P., A ten-dimensional action for non-geometric fluxes, J. High Energy Phys., 1109, Article 134 pp. (2011) · Zbl 1301.81178 |
| [25] | Aldazabal, G.; Baron, W.; Marques, D.; Nunez, C., The effective action of double field theory, J. High Energy Phys., 1111, Article 052 pp. (2011) · Zbl 1306.81178 |
| [26] | Geissbuhler, D., Double field theory and \(N = 4\) gauged supergravity, J. High Energy Phys., 1111, Article 116 pp. (2011) · Zbl 1306.81227 |
| [27] | Graña, M.; Marques, D., Gauged double field theory, J. High Energy Phys., 1204, Article 020 pp. (2012) · Zbl 1348.81368 |
| [28] | Blumenhagen, R.; Gao, X.; Herschmann, D.; Shukla, P., Dimensional oxidation of non-geometric fluxes in type II orientifolds, J. High Energy Phys., 1310, Article 201 pp. (2013) |
| [29] | Gao, X.; Shukla, P., Dimensional oxidation and modular completion of non-geometric type IIB action, J. High Energy Phys., 1505, Article 018 pp. (2015) · Zbl 1388.83803 |
| [30] | Andriot, D.; Betz, A., \(β\)-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework, J. High Energy Phys., 1312, Article 083 pp. (2013) |
| [31] | Andriot, D.; Betz, A., Supersymmetry with non-geometric fluxes, or a \(β\)-twist in generalized geometry and Dirac operator · Zbl 1388.83719 |
| [32] | Sakatani, Y., Exotic branes and non-geometric fluxes, J. High Energy Phys., 03, Article 135 pp. (2015) · Zbl 1388.83879 |
| [33] | Blair, C. D.A.; Malek, E., Geometry and fluxes of \(SL(5)\) exceptional field theory · Zbl 1388.83749 |
| [34] | Ade, P., Detection of \(B\)-mode polarization at degree angular scales by BICEP2, Phys. Rev. Lett., 112, 24, Article 241101 pp. (2014) |
| [35] | Ade, P. A.R., Planck 2015 results. XX. Constraints on inflation |
| [36] | Ade, P., Joint analysis of BICEP2/Keck array and Planck data, Phys. Rev. Lett., 114, Article 101301 pp. (2015) |
| [37] | Lust, D.; Reffert, S.; Scheidegger, E.; Schulgin, W.; Stieberger, S., Moduli stabilization in type IIB orientifolds (II), Nucl. Phys. B, 766, 178-231 (2007) · Zbl 1119.81089 |
| [38] | Lust, D.; Reffert, S.; Scheidegger, E.; Stieberger, S., Resolved toroidal orbifolds and their orientifolds, Adv. Theor. Math. Phys., 12, 67-183 (2008) · Zbl 1152.81883 |
| [39] | Blumenhagen, R.; Braun, V.; Grimm, T. W.; Weigand, T., GUTs in type IIB orientifold compactifications, Nucl. Phys. B, 815, 1-94 (2009) · Zbl 1194.81288 |
| [40] | Cicoli, M.; Krippendorf, S.; Mayrhofer, C.; Quevedo, F.; Valandro, R., D-Branes at del Pezzo singularities: global embedding and moduli stabilisation, J. High Energy Phys., 1209, Article 019 pp. (2012) · Zbl 1342.83345 |
| [41] | Cicoli, M., Global D-brane models with stabilised moduli and light axions, J. Phys. Conf. Ser., 485, Article 012064 pp. (2014) |
| [42] | Gao, X.; Shukla, P., F-term stabilization of odd axions in LARGE volume scenario, Nucl. Phys. B, 878, 269-294 (2014) · Zbl 1284.81232 |
| [43] | Gao, X.; Shukla, P., On classifying the divisor involutions in Calabi-Yau threefolds, J. High Energy Phys., 1311, Article 170 pp. (2013) · Zbl 1342.81425 |
| [44] | Grimm, T. W.; Louis, J., The effective action of \(N = 1\) Calabi-Yau orientifolds, Nucl. Phys. B, 699, 387-426 (2004) · Zbl 1123.81393 |
| [45] | Robbins, D.; Wrase, T., D-terms from generalized NS-NS fluxes in type II, J. High Energy Phys., 0712, Article 058 pp. (2007) · Zbl 1246.81296 |
| [46] | Benmachiche, I.; Grimm, T. W., Generalized \(N = 1\) orientifold compactifications and the Hitchin functionals, Nucl. Phys. B, 748, 200-252 (2006) · Zbl 1186.81101 |
| [47] | Grana, M.; Louis, J.; Waldram, D., \(SU(3) \times SU(3)\) compactification and mirror duals of magnetic fluxes, J. High Energy Phys., 0704, Article 101 pp. (2007) |
| [48] | Binetruy, P.; Dvali, G.; Kallosh, R.; Van Proeyen, A., Fayet-Iliopoulos terms in supergravity and cosmology, Class. Quantum Gravity, 21, 3137-3170 (2004) · Zbl 1061.83062 |
| [49] | Choi, K.; Falkowski, A.; Nilles, H. P.; Olechowski, M., Soft supersymmetry breaking in KKLT flux compactification, Nucl. Phys. B, 718, 113-133 (2005) · Zbl 1207.81107 |
| [50] | Shukla, P., On modular completion of generalized flux orbits, J. High Energy Phys., 11, Article 075 pp. (2015) · Zbl 1388.83881 |
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.
