Abstract
We consider type IIB compactifications on a general 4D group manifold with different types of possible spacetime filling O-planes and the corresponding D-branes parallel to them. Once fluxes allowed by the associated orientifold projection are included, a 6D 𝒩 = (1, 1) gauged supergravity is obtained. In this paper we show how the consistent coupling to dynamical open strings living on the spacetime filling D-branes may be captured by the inclusion of extra vector multiplets and extra embedding tensor deformations on the gauged supergravity side. As a result, the quadratic constraints on the embedding tensor consistently reproduce the source corrected 10D Bianchi identities. Furthermore, the field strength modifications induced by the open string sector could potentially be understood as U-dual versions of the Green-Schwarz terms. Finally, the entire scalar potential of the theory exactly matches the one obtained from reduction of the bulk action plus the source contributions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. Vafa, The String landscape and the swampland, hep-th/0509212 [INSPIRE].
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland, Nucl. Phys. B 766 (2007) 21 [hep-th/0605264] [INSPIRE].
A. Adams, O. DeWolfe and W. Taylor, String universality in ten dimensions, Phys. Rev. Lett. 105 (2010) 071601 [arXiv:1006.1352] [INSPIRE].
M. Cvetič, M. Dierigl, L. Lin and H.Y. Zhang, String Universality and Non-Simply-Connected Gauge Groups in 8d, Phys. Rev. Lett. 125 (2020) 211602 [arXiv:2008.10605] [INSPIRE].
M. Cvetič, M. Dierigl, L. Lin and H.Y. Zhang, Gauge group topology of 8D Chaudhuri-Hockney-Lykken vacua, Phys. Rev. D 104 (2021) 086018 [arXiv:2107.04031] [INSPIRE].
A. Bedroya, Y. Hamada, M. Montero and C. Vafa, Compactness of brane moduli and the String Lamppost Principle in d > 6, JHEP 02 (2022) 082 [arXiv:2110.10157] [INSPIRE].
W. Taylor and A.P. Turner, Generic matter representations in 6D supergravity theories, JHEP 05 (2019) 081 [arXiv:1901.02012] [INSPIRE].
B. Fraiman and H. Parra De Freitas, Unifying the 6D 𝒩 = (1, 1) string landscape, JHEP 02 (2023) 204 [arXiv:2209.06214] [INSPIRE].
B. Fraiman, M. Graña and C.A. Núñez, A new twist on heterotic string compactifications, JHEP 09 (2018) 078 [arXiv:1805.11128] [INSPIRE].
A. Font et al., Exploring the landscape of heterotic strings on Td, JHEP 10 (2020) 194 [arXiv:2007.10358] [INSPIRE].
A. Font et al., Exploring the landscape of CHL strings on Td, JHEP 08 (2021) 095 [arXiv:2104.07131] [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].
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].
D. Roest, Gaugings at angles from orientifold reductions, Class. Quant. Grav. 26 (2009) 135009 [arXiv:0902.0479] [INSPIRE].
C. Angelantonj, R. D’Auria, S. Ferrara and M. Trigiante, K3 × T 2/Z2 orientifolds with fluxes, open string moduli and critical points, Phys. Lett. B 583 (2004) 331 [hep-th/0312019] [INSPIRE].
D. Andriot, P. Marconnet, M. Rajaguru and T. Wrase, Automated consistent truncations and stability of flux compactifications, JHEP 12 (2022) 026 [Addendum ibid. 04 (2023) 044] [arXiv:2209.08015] [INSPIRE].
G. Dibitetto, J.J. Fernández-Melgarejo and M. Nozawa, 6D (1, 1) Gauged Supergravities from Orientifold Compactifications, JHEP 05 (2020) 015 [arXiv:1912.04142] [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. Schon and M. Weidner, Gauged N = 4 supergravities, JHEP 05 (2006) 034 [hep-th/0602024] [INSPIRE].
B. de Wit, H. Samtleben and M. Trigiante, On Lagrangians and gaugings of maximal supergravities, Nucl. Phys. B 655 (2003) 93 [hep-th/0212239] [INSPIRE].
M.B. Green and J.H. Schwarz, Anomaly Cancellation in Supersymmetric D = 10 Gauge Theory and Superstring Theory, Phys. Lett. B 149 (1984) 117 [INSPIRE].
T. Ortin, Gravity and Strings, Cambridge University Press (2015) [https://doi.org/10.1017/CBO9781139019750] [INSPIRE].
O. Bergman, E.G. Gimon and S. Sugimoto, Orientifolds, RR torsion, and K theory, JHEP 05 (2001) 047 [hep-th/0103183] [INSPIRE].
E.G. Gimon and J. Polchinski, Consistency conditions for orientifolds and D-manifolds, Phys. Rev. D 54 (1996) 1667 [hep-th/9601038] [INSPIRE].
N. Kaloper and R.C. Myers, The Odd story of massive supergravity, JHEP 05 (1999) 010 [hep-th/9901045] [INSPIRE].
T. Ortin, O(n, n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in α′, JHEP 01 (2021) 187 [arXiv:2005.14618] [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].
D. Escobar, F. Marchesano and W. Staessens, Type IIA Flux Vacua with Mobile D6-branes, JHEP 01 (2019) 096 [arXiv:1811.09282] [INSPIRE].
D. Escobar Atienzar, Type IIA flux vacua with mobile D6-branes and α′-corrections, Ph.D. thesis, Departamento de Física Teórica, Universidad Autonoma de Madrid (UAM), Madrid, Spain (2019) [INSPIRE].
A. Herraez, L.E. Ibanez, F. Marchesano and G. Zoccarato, The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies, JHEP 09 (2018) 018 [arXiv:1802.05771] [INSPIRE].
E. Bergshoeff et al., New formulations of D = 10 supersymmetry and D8-O8 domain walls, Class. Quant. Grav. 18 (2001) 3359 [hep-th/0103233] [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].
J. Scherk and J.H. Schwarz, How to Get Masses from Extra Dimensions, Nucl. Phys. B 153 (1979) 61 [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
L. Martucci, J. Rosseel, D. Van den Bleeken and A. Van Proeyen, Dirac actions for D-branes on backgrounds with fluxes, Class. Quant. Grav. 22 (2005) 2745 [hep-th/0504041] [INSPIRE].
J. Choi, J.J. Fernández-Melgarejo and S. Sugimoto, Deformation of 𝒩 = 4 SYM with varying couplings via fluxes and intersecting branes, JHEP 03 (2018) 128 [arXiv:1801.09394] [INSPIRE].
Acknowledgments
The work of JRB is supported by Fundación Séneca, Agencia de Ciencia y Tecnología de la Región de Murcia under grant 21472/FPI/20. The work of GD is supported by the STARS grant named THEsPIAN. The work of JRB and JJFM is supported by the Spanish Ministerio de Innovación y Ciencia, CARM Fundación Séneca and Universidad de Murcia under grants PID2021-125700NA-C22, 21257/PI/19 and E024-18, respectively. AR is supported by the MIUR-PRIN contract 2020KR4KN2 “String Theory as a bridge between Gauge Theories and Quantum Gravity”. JRB and JJFM acknowledge Università di Padova for hospitality while this work was carried out.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2303.02040
Rights and permissions
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.
About this article
Cite this article
Balaguer, J.R., Dibitetto, G., Fernández-Melgarejo, J.J. et al. Open strings in IIB orientifold reductions. J. High Energ. Phys. 2023, 102 (2023). https://doi.org/10.1007/JHEP07(2023)102
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2023)102