Abstract
We consider de Sitter vacua realised in concrete type IIB Calabi-Yau compactifications with an anti D3-brane at the tip of a warped throat of Klebanov-Strassler type. The Kähler moduli are stabilised together with the complex structure modulus of the warped throat. The volume is exponentially large as in the large volume scenario (LVS). We analyse the conditions on the parameters of the EFT such that they are in the region of validity of our approximations, there are no runaway problems and the vacua satisfy all consistency constraints, such as tadpole cancellation. We illustrate our results with an explicit Calabi-Yau orientifold with two Kähler moduli and one antibrane on top of an O3-plane in a warped throat, that has the goldstino as its only massless state. The moduli are stabilised with gs ∼ 0.2 and volume \( \mathcal{V} \) ∼ 104 in string units, justifying the approximation used to derive the corresponding EFT. Although the model lacks chiral matter, it is presented as a proof of concept, chosen to be the simplest realisation of antibrane uplift.
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S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
R. Bousso and J. Polchinski, Quantization of four form fluxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134] [INSPIRE].
I. García-Etxebarria, F. Quevedo and R. Valandro, Global string embeddings for the nilpotent goldstino, JHEP 02 (2016) 148 [arXiv:1512.06926] [INSPIRE].
M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, D-branes at del Pezzo singularities: global embedding and moduli stabilisation, JHEP 09 (2012) 019 [arXiv:1206.5237] [INSPIRE].
M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation, JHEP 07 (2013) 150 [arXiv:1304.0022] [INSPIRE].
M. Cicoli, D. Klevers, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, Explicit de Sitter flux vacua for global string models with chiral matter, JHEP 05 (2014) 001 [arXiv:1312.0014] [INSPIRE].
M. Cicoli, F. Quevedo and R. Valandro, de Sitter from T-branes, JHEP 03 (2016) 141 [arXiv:1512.04558] [INSPIRE].
M. Cicoli, I. Garcìa-Etxebarria, C. Mayrhofer, F. Quevedo, P. Shukla and R. Valandro, Global orientifolded quivers with inflation, JHEP 11 (2017) 134 [arXiv:1706.06128] [INSPIRE].
D. Gallego, M.C.D. Marsh, B. Vercnocke and T. Wrase, A new class of de Sitter vacua in type IIB large volume compactifications, JHEP 10 (2017) 193 [arXiv:1707.01095] [INSPIRE].
J. Louis, M. Rummel, R. Valandro and A. Westphal, Building an explicit de Sitter, JHEP 10 (2012) 163 [arXiv:1208.3208] [INSPIRE].
A.P. Braun, M. Rummel, Y. Sumitomo and R. Valandro, De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications, JHEP 12 (2015) 033 [arXiv:1509.06918] [INSPIRE].
E. Silverstein, (A)dS backgrounds from asymmetric orientifolds, Clay Mat. Proc. 1 (2002) 179 [hep-th/0106209] [INSPIRE].
A. Maloney, E. Silverstein and A. Strominger, De Sitter space in noncritical string theory, hep-th/0205316 [INSPIRE].
E. Silverstein, TASI/PiTP/ISS lectures on moduli and microphysics, hep-th/0405068 [INSPIRE].
E. Silverstein, Simple de Sitter solutions, Phys. Rev. D 77 (2008) 106006 [arXiv:0712.1196] [INSPIRE].
R. Kallosh, F. Quevedo and A.M. Uranga, String theory realizations of the nilpotent goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [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].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
J.P. Conlon, F. Quevedo and K. Suruliz, Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking, JHEP 08 (2005) 007 [hep-th/0505076] [INSPIRE].
I. Bena, E. Dudas, M. Graña and S. Lüst, Uplifting runaways, Fortsch. Phys. 67 (2019) 1800100 [arXiv:1809.06861] [INSPIRE].
R. Blumenhagen, D. Kläwer and L. Schlechter, Swampland variations on a theme by KKLT, JHEP 05 (2019) 152 [arXiv:1902.07724] [INSPIRE].
L. Aparicio, F. Quevedo and R. Valandro, Moduli stabilisation with nilpotent goldstino: vacuum structure and SUSY breaking, JHEP 03 (2016) 036 [arXiv:1511.08105] [INSPIRE].
D. Andriot, P. Marconnet and T. Wrase, Intricacies of classical de Sitter string backgrounds, Phys. Lett. B 812 (2021) 136015 [arXiv:2006.01848] [INSPIRE].
E. Dudas and S. Lüst, An update on moduli stabilization with antibrane uplift, JHEP 03 (2021) 107 [arXiv:1912.09948] [INSPIRE].
I. Bena, J. Blåbäck, M. Graña and S. Lüst, The tadpole problem, arXiv:2010.10519 [INSPIRE].
A.P. Braun and R. Valandro, G4 flux, algebraic cycles and complex structure moduli stabilization, JHEP 01 (2021) 207 [arXiv:2009.11873] [INSPIRE].
A. Collinucci, F. Denef and M. Esole, D-brane deconstructions in IIB orientifolds, JHEP 02 (2009) 005 [arXiv:0805.1573] [INSPIRE].
K. Dasgupta, G. Rajesh and S. Sethi, M theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088] [INSPIRE].
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four folds, Nucl. Phys. B 584 (2000) 69 [Erratum ibid. 608 (2001) 477] [hep-th/9906070] [INSPIRE].
A. Westphal, De Sitter string vacua from Kähler uplifting, JHEP 03 (2007) 102 [hep-th/0611332] [INSPIRE].
M. Rummel and A. Westphal, A sufficient condition for de Sitter vacua in type IIB string theory, JHEP 01 (2012) 020 [arXiv:1107.2115] [INSPIRE].
S. AbdusSalam, S. Abel, M. Cicoli, F. Quevedo and P. Shukla, A systematic approach to Kähler moduli stabilisation, JHEP 08 (2020) 047 [arXiv:2005.11329] [INSPIRE].
R. Minasian, T.G. Pugh and R. Savelli, F-theory at order α′3, JHEP 10 (2015) 050 [arXiv:1506.06756] [INSPIRE].
P. Berglund and I. Garcia-Etxebarria, D-brane instantons on non-Spin cycles, JHEP 01 (2013) 056 [arXiv:1210.1221] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde, J.M. Maldacena, L.P. McAllister and S.P. Trivedi, Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [INSPIRE].
I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].
S. Ferrara, R. Kallosh and A. Linde, Cosmology with nilpotent superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].
R. Kallosh and A. Linde, Inflation and uplifting with nilpotent superfields, JCAP 01 (2015) 025 [arXiv:1408.5950] [INSPIRE].
E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, \( \overline{D3} \) and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [INSPIRE].
I. Bandos, L. Martucci, D. Sorokin and M. Tonin, Brane induced supersymmetry breaking and de Sitter supergravity, JHEP 02 (2016) 080 [arXiv:1511.03024] [INSPIRE].
M. Bertolini, D. Musso, I. Papadimitriou and H. Raj, A Goldstino at the bottom of the cascade, JHEP 11 (2015) 184 [arXiv:1509.03594] [INSPIRE].
I. Bandos, M. Heller, S.M. Kuzenko, L. Martucci and D. Sorokin, The Goldstino brane, the constrained superfields and matter in \( \mathcal{N} \) = 1 supergravity, JHEP 11 (2016) 109 [arXiv:1608.05908] [INSPIRE].
M. Dine and N. Seiberg, Is the superstring weakly coupled?, Phys. Lett. B 162 (1985) 299 [INSPIRE].
E. Palti, The swampland: introduction and review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
M. Demirtas, M. Kim, L. Mcallister and J. Moritz, Vacua with small flux superpotential, Phys. Rev. Lett. 124 (2020) 211603 [arXiv:1912.10047] [INSPIRE].
R. Álvarez-García, R. Blumenhagen, M. Brinkmann and L. Schlechter, Small flux superpotentials for type IIB flux vacua close to a conifold, arXiv:2009.03325 [INSPIRE].
M. Demirtas, M. Kim, L. Mcallister and J. Moritz, Conifold vacua with small flux superpotential, arXiv:2009.03312 [INSPIRE].
S. Sethi, Supersymmetry breaking by fluxes, JHEP 10 (2018) 022 [arXiv:1709.03554] [INSPIRE].
M. Cicoli, S. De Alwis, A. Maharana, F. Muia and F. Quevedo, De Sitter vs. quintessence in string theory, Fortsch. Phys. 67 (2019) 1800079 [arXiv:1808.08967] [INSPIRE].
S. Kachru and S.P. Trivedi, A comment on effective field theories of flux vacua, Fortsch. Phys. 67 (2019) 1800086 [arXiv:1808.08971] [INSPIRE].
C.P. Burgess, Intro to effective field theories and inflation, arXiv:1711.10592 [INSPIRE].
J. Polchinski, Brane/antibrane dynamics and KKLT stability, arXiv:1509.05710 [INSPIRE].
J. Blåbäck, F.F. Gautason, A. Ruipérez and T. Van Riet, Anti-brane singularities as red herrings, JHEP 12 (2019) 125 [arXiv:1907.05295] [INSPIRE].
I. Bena and M. Graña, String cosmology and the landscape, Compt. Rend. Phys. 18 (2017) 200 [INSPIRE].
D. Cohen-Maldonado, J. Diaz, T. van Riet and B. Vercnocke, Observations on fluxes near anti-branes, JHEP 01 (2016) 126 [arXiv:1507.01022] [INSPIRE].
D. Cohen-Maldonado, J. Diaz and F.F. Gautason, Polarised antibranes from Smarr relations, JHEP 05 (2016) 175 [arXiv:1603.05678] [INSPIRE].
J. Armas, N. Nguyen, V. Niarchos, N.A. Obers and T. Van Riet, Meta-stable non-extremal anti-branes, Phys. Rev. Lett. 122 (2019) 181601 [arXiv:1812.01067] [INSPIRE].
X. Gao, A. Hebecker and D. Junghans, Control issues of KKLT, arXiv:2009.03914 [INSPIRE].
J. Moritz, A. Retolaza and A. Westphal, Toward de Sitter space from ten dimensions, Phys. Rev. D 97 (2018) 046010 [arXiv:1707.08678] [INSPIRE].
M. Cicoli, J.P. Conlon, A. Maharana and F. Quevedo, A note on the magnitude of the flux superpotential, JHEP 01 (2014) 027 [arXiv:1310.6694] [INSPIRE].
C.P. Burgess, J.P. Derendinger, F. Quevedo and M. Quirós, On gaugino condensation with field dependent gauge couplings, Annals Phys. 250 (1996) 193 [hep-th/9505171] [INSPIRE].
Y. Hamada, A. Hebecker, G. Shiu and P. Soler, On brane gaugino condensates in 10d, JHEP 04 (2019) 008 [arXiv:1812.06097] [INSPIRE].
F. Carta, J. Moritz and A. Westphal, Gaugino condensation and small uplifts in KKLT, JHEP 08 (2019) 141 [arXiv:1902.01412] [INSPIRE].
Y. Hamada, A. Hebecker, G. Shiu and P. Soler, Understanding KKLT from a 10d perspective, JHEP 06 (2019) 019 [arXiv:1902.01410] [INSPIRE].
S. Kachru, M. Kim, L. Mcallister and M. Zimet, De Sitter vacua from ten dimensions, arXiv:1908.04788 [INSPIRE].
P. Koerber and L. Martucci, From ten to four and back again: How to generalize the geometry, JHEP 08 (2007) 059 [arXiv:0707.1038] [INSPIRE].
A. Dymarsky and L. Martucci, D-brane non-perturbative effects and geometric deformations, JHEP 04 (2011) 061 [arXiv:1012.4018] [INSPIRE].
C.P. Burgess et al., Warped supersymmetry breaking, JHEP 04 (2008) 053 [hep-th/0610255] [INSPIRE].
M.R. Douglas, J. Shelton and G. Torroba, Warping and supersymmetry breaking, arXiv:0704.4001 [INSPIRE].
O. DeWolfe and S.B. Giddings, Scales and hierarchies in warped compactifications and brane worlds, Phys. Rev. D 67 (2003) 066008 [hep-th/0208123] [INSPIRE].
S.P. de Alwis, On Potentials from fluxes, Phys. Rev. D 68 (2003) 126001 [hep-th/0307084] [INSPIRE].
S.B. Giddings and A. Maharana, Dynamics of warped compactifications and the shape of the warped landscape, Phys. Rev. D 73 (2006) 126003 [hep-th/0507158] [INSPIRE].
A.R. Frey and A. Maharana, Warped spectroscopy: localization of frozen bulk modes, JHEP 08 (2006) 021 [hep-th/0603233] [INSPIRE].
G. Shiu, G. Torroba, B. Underwood and M.R. Douglas, Dynamics of warped flux compactifications, JHEP 06 (2008) 024 [arXiv:0803.3068] [INSPIRE].
L. Martucci, On moduli and effective theory of N = 1 warped flux compactifications, JHEP 05 (2009) 027 [arXiv:0902.4031] [INSPIRE].
L. Martucci, Warping the Kähler potential of F-theory/IIB flux compactifications, JHEP 03 (2015) 067 [arXiv:1411.2623] [INSPIRE].
L. Martucci, Warped Kähler potentials and fluxes, JHEP 01 (2017) 056 [arXiv:1610.02403] [INSPIRE].
M. Cicoli, A. Maharana, F. Quevedo and C.P. Burgess, De Sitter string vacua from dilaton-dependent non-perturbative effects, JHEP 06 (2012) 011 [arXiv:1203.1750] [INSPIRE].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
R. Altman, J. Gray, Y.-H. He, V. Jejjala and B.D. Nelson, A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list, JHEP 02 (2015) 158 [arXiv:1411.1418] [INSPIRE].
D.S. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math. 3 (1999) 819 [hep-th/9907189] [INSPIRE].
A. Collinucci, M. Kreuzer, C. Mayrhofer and N.-O. Walliser, Four-modulus ‘swiss cheese’ chiral models, JHEP 07 (2009) 074 [arXiv:0811.4599] [INSPIRE].
S. de Alwis, R. Gupta, E. Hatefi and F. Quevedo, Stability, tunneling and flux changing de Sitter transitions in the large volume string scenario, JHEP 11 (2013) 179 [arXiv:1308.1222] [INSPIRE].
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Crinò, C., Quevedo, F. & Valandro, R. On de Sitter string vacua from anti-d3-branes in the large volume scenario. J. High Energ. Phys. 2021, 258 (2021). https://doi.org/10.1007/JHEP03(2021)258
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DOI: https://doi.org/10.1007/JHEP03(2021)258