Abstract
The DGKT vacua are a class of AdS4 flux vacua showing full moduli stabilization, parametric control, and a parametric separation of scales. The particular masses of the moduli remarkably give rise to integer conformal dimensions in the light spectrum of the would-be holographic duals. In this note, we comment on two properties for AdS flux vacua with integer conformal dimensions. First, there are polynomial spacetime-dependent shift symmetries for the moduli. Secondly, the leading scalings of the central charge and the moduli can be directly deduced from the near-horizon geometry of stacks of orthogonally-intersecting D-brane domain walls dual to the unbounded fluxes. This suggests that a dual field theory could be found on this relatively simple set of domain walls. We illustrate this in a couple of examples of AdS4 and AdS3 parametric flux vacua.
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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.E. Ibanez, Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold, JHEP 09 (2005) 013 [hep-th/0506066] [INSPIRE].
J. McOrist and S. Sethi, M-theory and Type IIA Flux Compactifications, JHEP 12 (2012) 122 [arXiv:1208.0261] [INSPIRE].
N. Cribiori et al., Scale-separated AdS4 vacua of IIA orientifolds and M-theory, Phys. Rev. D 104 (2021) 126014 [arXiv:2107.00019] [INSPIRE].
D. Junghans, O-Plane Backreaction and Scale Separation in Type IIA Flux Vacua, Fortsch. Phys. 68 (2020) 2000040 [arXiv:2003.06274] [INSPIRE].
F. Marchesano, E. Palti, J. Quirant and A. Tomasiello, On supersymmetric AdS4 orientifold vacua, JHEP 08 (2020) 087 [arXiv:2003.13578] [INSPIRE].
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [INSPIRE].
J.P. Conlon and F. Quevedo, Putting the Boot into the Swampland, JHEP 03 (2019) 005 [arXiv:1811.06276] [INSPIRE].
J.P. Conlon and F. Revello, Moduli Stabilisation and the Holographic Swampland, LHEP 2020 (2020) 171 [arXiv:2006.01021] [INSPIRE].
S. Lüst, C. Vafa, M. Wiesner and K. Xu, Holography and the KKLT scenario, JHEP 10 (2022) 188 [arXiv:2204.07171] [INSPIRE].
T.C. Collins et al., On Upper Bounds in Dimension Gaps of CFT’s, arXiv:2201.03660 [INSPIRE].
O. Aharony, Y.E. Antebi and M. Berkooz, On the Conformal Field Theory Duals of type IIA AdS4 Flux Compactifications, JHEP 02 (2008) 093 [arXiv:0801.3326] [INSPIRE].
T. Banks and K. van den Broek, Massive IIA flux compactifications and U-dualities, JHEP 03 (2007) 068 [hep-th/0611185] [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
O. Aharony et al., Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
J.P. Conlon, S. Ning and F. Revello, Exploring the holographic Swampland, JHEP 04 (2022) 117 [arXiv:2110.06245] [INSPIRE].
S. Ning, Holographic perspectives on models of moduli stabilization in M-theory, JHEP 09 (2022) 042 [arXiv:2206.13332] [INSPIRE].
E. Plauschinn, Mass spectrum of type IIB flux compactifications — comments on AdS vacua and conformal dimensions, JHEP 02 (2023) 257 [arXiv:2210.04528] [INSPIRE].
J. Quirant, Noninteger conformal dimensions for type IIA flux vacua, Phys. Rev. D 106 (2022) 066017 [arXiv:2204.00014] [INSPIRE].
J. Quirant Pellín, Aspects of type IIA AdS4 orientifold vacua, Ph.D. thesis, Universidad Autonoma de Madrid, Madrid, Spain (2022) [arXiv:2210.08466] [INSPIRE].
F. Marchesano, D. Prieto, J. Quirant and P. Shukla, Systematics of Type IIA moduli stabilisation, JHEP 11 (2020) 113 [arXiv:2007.00672] [INSPIRE].
F. Apers, J.P. Conlon, S. Ning and F. Revello, Integer conformal dimensions for type IIa flux vacua, Phys. Rev. D 105 (2022) 106029 [arXiv:2202.09330] [INSPIRE].
I.R. Klebanov and A.A. Tseytlin, Gravity duals of supersymmetric SU(N) × SU(N + M) gauge theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [INSPIRE].
C. Kounnas, D. Lüst, P.M. Petropoulos and D. Tsimpis, AdS4 flux vacua in type II superstrings and their domain-wall solutions, JHEP 09 (2007) 051 [arXiv:0707.4270] [INSPIRE].
F. Farakos, G. Tringas and T. Van Riet, No-scale and scale-separated flux vacua from IIA on G2 orientifolds, Eur. Phys. J. C 80 (2020) 659 [arXiv:2005.05246] [INSPIRE].
F. Apers, M. Montero, T. Van Riet and T. Wrase, Comments on classical AdS flux vacua with scale separation, JHEP 05 (2022) 167 [arXiv:2202.00682] [INSPIRE].
M. Emelin, F. Farakos and G. Tringas, Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds, Eur. Phys. J. C 81 (2021) 456 [arXiv:2103.03282] [INSPIRE].
K. Hinterbichler and A. Joyce, Goldstones with Extended Shift Symmetries, Int. J. Mod. Phys. D 23 (2014) 1443001 [arXiv:1404.4047] [INSPIRE].
J. Bonifacio, K. Hinterbichler, A. Joyce and R.A. Rosen, Shift Symmetries in (Anti) de Sitter Space, JHEP 02 (2019) 178 [arXiv:1812.08167] [INSPIRE].
K. Hinterbichler, Shift symmetries for p-forms and mixed symmetry fields on (A)dS, JHEP 11 (2022) 015 [arXiv:2207.03494] [INSPIRE].
G. Buratti, J. Calderon, A. Mininno and A.M. Uranga, Discrete Symmetries, Weak Coupling Conjecture and Scale Separation in AdS Vacua, JHEP 06 (2020) 083 [arXiv:2003.09740] [INSPIRE].
E. Blauvelt, L. Engelbrecht and K. Hinterbichler, Shift Symmetries and AdS/CFT, arXiv:2211.02055 [INSPIRE].
C. Caviezel et al., The Effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets, Class. Quant. Grav. 26 (2009) 025014 [arXiv:0806.3458] [INSPIRE].
A.A. Tseytlin, Harmonic superpositions of M-branes, Nucl. Phys. B 475 (1996) 149 [hep-th/9604035] [INSPIRE].
T.W. Grimm, C. Li and I. Valenzuela, Asymptotic Flux Compactifications and the Swampland, JHEP 06 (2020) 009 [Erratum ibid. 01 (2021) 007] [arXiv:1910.09549] [INSPIRE].
V. Van Hemelryck, Scale-Separated AdS3 Vacua from G2-Orientifolds Using Bispinors, Fortsch. Phys. 70 (2022) 2200128 [arXiv:2207.14311] [INSPIRE].
O. Aharony, D. Jafferis, A. Tomasiello and A. Zaffaroni, Massive type IIA string theory cannot be strongly coupled, JHEP 11 (2010) 047 [arXiv:1007.2451] [INSPIRE].
Acknowledgments
I am grateful to Thomas Van Riet, Vincent Van Hemelryck, Miguel Montero, Irene Valenzuela, George Tringas, and especially Joe Conlon for useful discussions and comments on the draft. I am supported by the Clarendon Scholarship in partnership with the Scatcherd European Scholarship, Saven European Scholarship, and the Hertford College Peter Howard Scholarship.
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Apers, F. Aspects of AdS flux vacua with integer conformal dimensions. J. High Energ. Phys. 2023, 40 (2023). https://doi.org/10.1007/JHEP05(2023)040
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DOI: https://doi.org/10.1007/JHEP05(2023)040