Abstract
Utilizing a setup of type IIB superstring theory compactified on an orientifold of \( {\mathbb{T}}^6/\left({\mathbb{Z}}_2\times {\mathbb{Z}}_2\right) \), we propose a modular invariant dimensional oxidation of the four- dimensional scalar potential. In the oxidized ten-dimensional supergravity action, the standard NS-NS and RR three form fluxes (H-, F -) as well as the non-geometric fluxes (Q-, P -) are found to nicely rearrange themselves to form generalized flux-combinations. As an application towards moduli stabilization, using the same S-duality invariant scalar potential, we examine the recently proposed No-Go theorem [1] about creating a mass-hierarchy between universal-axion and the dilaton relevant for axionic-inflation. Considering a two-field dynamics of universal axion and dilator while assuming the other moduli/axions being stabilized, we find a part of the No-Go arguments to be quite robust even with the inclusion of non-geometric (Q-, P -) fluxes.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Blumenhagen, D. Herschmann and E. Plauschinn, The challenge of realizing F-term axion monodromy inflation in string theory, JHEP 01 (2015) 007 [arXiv:1409.7075] [INSPIRE].
S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, JHEP 03 (2003) 061 [hep-th/0211182] [INSPIRE].
S. Hellerman, J. McGreevy and B. Williams, Geometric constructions of nongeometric string theories, JHEP 01 (2004) 024 [hep-th/0208174] [INSPIRE].
A. Dabholkar and C. Hull, Duality twists, orbifolds and fluxes, JHEP 09 (2003) 054 [hep-th/0210209] [INSPIRE].
C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [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].
J.-P. Derendinger, C. Kounnas, P.M. Petropoulos and F. Zwirner, Fluxes and gaugings: N =1 effective superpotentials,Fortsch. Phys. 53(2005) 926[hep-th/0503229][INSPIRE].
J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications, JHEP 10 (2005) 085 [hep-th/0508133] [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. 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. Aldazabal, W. Baron, D. Marques and C. Núñez, The effective action of double field theory, JHEP 11 (2011) 052 [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, JHEP 04 (2012) 020 [arXiv:1201.2924] [INSPIRE].
G. Dibitetto, J.J. Fernandez-Melgarejo, D. Marques and D. Roest, Duality orbits of non-geometric fluxes, Fortsch. Phys. 60 (2012) 1123 [arXiv:1203.6562] [INSPIRE].
D. Andriot, O. Hohm, M. Larfors, D. Lüst and P. Patalong, A geometric action for non-geometric fluxes, Phys. Rev. Lett. 108 (2012) 261602 [arXiv:1202.3060] [INSPIRE].
D. Andriot, O. Hohm, M. Larfors, D. Lüst and P. Patalong, Non-geometric fluxes in supergravity and double field theory, Fortsch. Phys. 60 (2012) 1150 [arXiv:1204.1979] [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].
R. Blumenhagen, X. Gao, D. Herschmann and P. Shukla, Dimensional oxidation of non-geometric fluxes in type II orientifolds, JHEP 10 (2013) 201 [arXiv:1306.2761] [INSPIRE].
D. Andriot and A. Betz, β-supergravity: a ten-dimensional theory with non-geometric fluxes and its geometric framework, JHEP 12 (2013) 083 [arXiv:1306.4381] [INSPIRE].
D. Andriot and A. Betz, Supersymmetry with non-geometric fluxes, or a β-twist in Generalized Geometry and Dirac operator, JHEP 04 (2015) 006 [arXiv:1411.6640] [INSPIRE].
C.D.A. Blair and E. Malek, Geometry and fluxes of SL(5) exceptional field theory, JHEP 03 (2015) 144 [arXiv:1412.0635] [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. Danielsson and G. Dibitetto, On the distribution of stable de Sitter vacua, JHEP 03 (2013) 018 [arXiv:1212.4984] [INSPIRE].
J. Blabäck, U. Danielsson and G. Dibitetto, Fully stable dS vacua from generalised fluxes, JHEP 08 (2013) 054 [arXiv:1301.7073] [INSPIRE].
C. Damian, L.R. Diaz-Barron, O. Loaiza-Brito and M. Sabido, Slow-roll inflation in non-geometric flux compactification, JHEP 06 (2013) 109 [arXiv:1302.0529] [INSPIRE].
C. Damian and O. Loaiza-Brito, More stable de Sitter vacua from S-dual nongeometric fluxes, Phys. Rev. D 88 (2013) 046008 [arXiv:1304.0792] [INSPIRE].
F. Hassler, D. Lüst and S. Massai, On inflation and de Sitter in non-geometric string backgrounds, arXiv:1405.2325 [INSPIRE].
G. Aldazabal, P.G. Camara, A. Font and L.E. Ibáñez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [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].
D. Robbins and T. Wrase, D-terms from generalized NS-NS fluxes in type-II, JHEP 12 (2007) 058 [arXiv:0709.2186] [INSPIRE].
M. Ihl, D. Robbins and T. Wrase, Toroidal orientifolds in IIA with general NS-NS fluxes, JHEP 08 (2007) 043 [arXiv:0705.3410] [INSPIRE].
G. Aldazabal, P.G. Camara and J.A. Rosabal, Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications, Nucl. Phys. B 814 (2009) 21 [arXiv:0811.2900] [INSPIRE].
A. Font, A. Guarino and J.M. Moreno, Algebras and non-geometric flux vacua, JHEP 12 (2008) 050 [arXiv:0809.3748] [INSPIRE].
A. Guarino and G.J. Weatherill, Non-geometric flux vacua, S-duality and algebraic geometry, JHEP 02 (2009) 042 [arXiv:0811.2190] [INSPIRE].
A. Kumar and C. Vafa, U manifolds, Phys. Lett. B 396 (1997) 85 [hep-th/9611007] [INSPIRE].
C.M. Hull and A. Catal-Ozer, Compactifications with S duality twists, JHEP 10 (2003) 034 [hep-th/0308133] [INSPIRE].
BICEP2 collaboration, P.A.R. Ade et al., Detection of B-mode polarization at degree angular scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101 [arXiv:1403.3985] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XX. Constraints on inflation, arXiv:1502.02114 [INSPIRE].
T.W. Grimm, Axion inflation in type-II string theory, Phys. Rev. D 77 (2008) 126007 [arXiv:0710.3883] [INSPIRE].
R. Blumenhagen and E. Plauschinn, Towards universal axion inflation and reheating in string theory, Phys. Lett. B 736 (2014) 482 [arXiv:1404.3542] [INSPIRE].
T.W. Grimm, Axion inflation in F-theory, Phys. Lett. B 739 (2014) 201 [arXiv:1404.4268] [INSPIRE].
F. Marchesano, G. Shiu and A.M. Uranga, F-term axion monodromy inflation, JHEP 09 (2014) 184 [arXiv:1404.3040] [INSPIRE].
M. Arends et al., D7-brane moduli space in axion monodromy and fluxbrane inflation, Fortsch. Phys. 62 (2014) 647 [arXiv:1405.0283] [INSPIRE].
C. Long, L. McAllister and P. McGuirk, Aligned natural inflation in string theory, Phys. Rev. D 90 (2014) 023501 [arXiv:1404.7852] [INSPIRE].
X. Gao, T. Li and P. Shukla, Combining universal and odd RR axions for aligned natural inflation, JCAP 10 (2014) 048 [arXiv:1406.0341] [INSPIRE].
I. Ben-Dayan, F.G. Pedro and A. Westphal, Towards natural inflation in string theory, arXiv:1407.2562 [INSPIRE].
I. García-Etxebarria, T.W. Grimm and I. Valenzuela, Special points of inflation in flux compactifications, arXiv:1412.5537 [INSPIRE].
L. McAllister, E. Silverstein and A. Westphal, Gravity waves and linear inflation from axion monodromy, Phys. Rev. D 82 (2010) 046003 [arXiv:0808.0706] [INSPIRE].
R. Flauger, L. McAllister, E. Pajer, A. Westphal and G. Xu, Oscillations in the CMB from Axion Monodromy Inflation, JCAP 06 (2010) 009 [arXiv:0907.2916] [INSPIRE].
R. Blumenhagen, V. Braun, T.W. Grimm and T. Weigand, GUTs in type IIB orientifold compactifications, Nucl. Phys. B 815 (2009) 1 [arXiv:0811.2936] [INSPIRE].
X. Gao and P. Shukla, On classifying the divisor involutions in Calabi-Yau threefolds, JHEP 11 (2013) 170 [arXiv:1307.1139] [INSPIRE].
T.W. Grimm, M. Kerstan, E. Palti and T. Weigand, On fluxed instantons and moduli stabilisation in IIB orientifolds and F-theory, Phys. Rev. D 84 (2011) 066001 [arXiv:1105.3193] [INSPIRE].
X. Gao and P. Shukla, F-term stabilization of odd axions in LARGE volume scenario, Nucl. Phys. B 878 (2014) 269 [arXiv:1307.1141] [INSPIRE].
T.W. Grimm, Non-perturbative corrections and modularity in N = 1 type IIB compactifications, JHEP 10 (2007) 004 [arXiv:0705.3253] [INSPIRE].
R. Blumenhagen, D. Lüst and T.R. Taylor, Moduli stabilization in chiral type IIB orientifold models with fluxes, Nucl. Phys. B 663 (2003) 319 [hep-th/0303016] [INSPIRE].
T.R. Taylor and C. Vafa, RR flux on Calabi-Yau and partial supersymmetry breaking, Phys. Lett. B 474 (2000) 130 [hep-th/9912152] [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: 1501.07248
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
Gao, X., Shukla, P. Dimensional oxidation and modular completion of non-geometric type IIB action. J. High Energ. Phys. 2015, 18 (2015). https://doi.org/10.1007/JHEP05(2015)018
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2015)018