Abstract
AdS flux vacua with a parametric separation between the AdS and KK scales have been conjectured to be in the Swampland. We study flux compactifications of massive IIA supergravity with O6 planes which are claimed to allow moduli-stabilised and scale separated AdS3 and AdS4 vacua at arbitrary weak coupling and large volume. A recent refinement of the AdS Distance Conjecture is shown to be inconsistent with this class of AdS3 vacua because the requisite discrete higher form symmetries are absent. We further perform a tree-level study of non-perturbative decays for the nonsupersymmetric versions of the AdS3 solutions, and find that the vacua are stable within this approximation. Finally, we provide an initial investigation of the would-be dual CFT2s and CFT3s. We study roughly a dozen different models and find for all AdS4 DGKT-type vacua that the dual operators to the lightest scalars have integer dimensions. For the putative CFT2 dual theories of the AdS3 vacua we find no integer dimensions for the operators.
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References
F.F. Gautason, M. Schillo, T. Van Riet and M. Williams, Remarks on scale separation in flux vacua, JHEP 03 (2016) 061 [arXiv:1512.00457] [INSPIRE].
G.B. De Luca and A. Tomasiello, Leaps and bounds towards scale separation, JHEP 12 (2021) 086 [arXiv:2104.12773] [INSPIRE].
N. Cribiori, D. Junghans, V. Van Hemelryck, T. Van Riet and T. Wrase, Scale-separated AdS4 vacua of IIA orientifolds and M-theory, Phys. Rev. D 104 (2021) 126014 [arXiv:2107.00019] [INSPIRE].
M. Demirtas, M. Kim, L. McAllister, J. Moritz and A. Rios-Tascon, Small cosmological constants in string theory, JHEP 12 (2021) 136 [arXiv:2107.09064] [INSPIRE].
T.C. Collins, D. Jafferis, C. Vafa, K. Xu and S.-T. Yau, On Upper Bounds in Dimension Gaps of CFT’s, arXiv:2201.03660 [INSPIRE].
D. Tsimpis, Relative scale separation in orbifolds of S2 and S5 , JHEP 03 (2022) 169 [arXiv:2201.10916] [INSPIRE].
F.F. Gautason, V. Van Hemelryck and T. Van Riet, The Tension between 10D Supergravity and dS Uplifts, Fortsch. Phys. 67 (2019) 1800091 [arXiv:1810.08518] [INSPIRE].
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization, JHEP 07 (2005) 066 [hep-th/0505160] [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].
K. Behrndt and M. Cvetič, General N = 1 supersymmetric fluxes in massive type IIA string theory, Nucl. Phys. B 708 (2005) 45 [hep-th/0407263] [INSPIRE].
D. Lüst and D. Tsimpis, Supersymmetric AdS4 compactifications of IIA supergravity, JHEP 02 (2005) 027 [hep-th/0412250] [INSPIRE].
P.G. Cámara, A. Font and L.E. Ibáñez, Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold, JHEP 09 (2005) 013 [hep-th/0506066] [INSPIRE].
C. Caviezel, T. Wrase and M. Zagermann, Moduli Stabilization and Cosmology of Type IIB on SU(2)-Structure Orientifolds, JHEP 04 (2010) 011 [arXiv:0912.3287] [INSPIRE].
M. Petrini, G. Solard and T. Van Riet, AdS vacua with scale separation from IIB supergravity, JHEP 11 (2013) 010 [arXiv:1308.1265] [INSPIRE].
C. Caviezel, P. Koerber, S. Körs, D. Lüst, D. Tsimpis and M. Zagermann, The Effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets, Class. Quant. Grav. 26 (2009) 025014 [arXiv:0806.3458] [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].
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].
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].
J.P. Conlon, S. Ning and F. Revello, Exploring the holographic Swampland, JHEP 04 (2022) 117 [arXiv:2110.06245] [INSPIRE].
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [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].
H. Ooguri and C. Vafa, Non-supersymmetric AdS and the Swampland, Adv. Theor. Math. Phys. 21 (2017) 1787 [arXiv:1610.01533] [INSPIRE].
T. Banks and K. van den Broek, Massive IIA flux compactifications and U-dualities, JHEP 03 (2007) 068 [hep-th/0611185] [INSPIRE].
J. McOrist and S. Sethi, M-theory and Type IIA Flux Compactifications, JHEP 12 (2012) 122 [arXiv:1208.0261] [INSPIRE].
B.S. Acharya, F. Benini and R. Valandro, Fixing moduli in exact type IIA flux vacua, JHEP 02 (2007) 018 [hep-th/0607223] [INSPIRE].
M. Graña, R. Minasian, M. Petrini and A. Tomasiello, A Scan for new N = 1 vacua on twisted tori, JHEP 05 (2007) 031 [hep-th/0609124] [INSPIRE].
S. Baines and T. Van Riet, Smearing orientifolds in flux compactifications can be OK, Class. Quant. Grav. 37 (2020) 195015 [arXiv:2005.09501] [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].
P. Narayan and S.P. Trivedi, On The Stability Of Non-Supersymmetric AdS Vacua, JHEP 07 (2010) 089 [arXiv:1002.4498] [INSPIRE].
F. Marchesano, D. Prieto and J. Quirant, BIonic membranes and AdS instabilities, arXiv:2110.11370 [INSPIRE].
F. Apers, Swampland bounds for AdS vacua, MSc Thesis, K.U. Leuven, Leuven, Belgium (2021).
F. Apers, T. Van Riet and G. Zoccarato, Scale separated AdS3 vacua from IIA on smooth G2 orientifolds, in progress.
G. Dvali, Black Holes and Large N Species Solution to the Hierarchy Problem, Fortsch. Phys. 58 (2010) 528 [arXiv:0706.2050] [INSPIRE].
D. Harlow, B. Heidenreich, M. Reece and T. Rudelius, The Weak Gravity Conjecture: A Review, arXiv:2201.08380 [INSPIRE].
N. Kaloper and L. Sorbo, A Natural Framework for Chaotic Inflation, Phys. Rev. Lett. 102 (2009) 121301 [arXiv:0811.1989] [INSPIRE].
G. Dvali, Three-form gauging of axion symmetries and gravity, hep-th/0507215 [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. Herraez, L.E. Ibáñez, F. Marchesano and G. Zoccarato, The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies, JHEP 09 (2018) 018 [arXiv:1802.05771] [INSPIRE].
M. Cvetič, S. Griffies and S.-J. Rey, Static domain walls in N = 1 supergravity, Nucl. Phys. B 381 (1992) 301 [hep-th/9201007] [INSPIRE].
S.R. Coleman and F. De Luccia, Gravitational Effects on and of Vacuum Decay, Phys. Rev. D 21 (1980) 3305 [INSPIRE].
D.Z. Freedman, C. Núñez, M. Schnabl and K. Skenderis, Fake supergravity and domain wall stability, Phys. Rev. D 69 (2004) 104027 [hep-th/0312055] [INSPIRE].
J. Diaz Dorronsoro, B. Truijen and T. Van Riet, Comments on fake supersymmetry, Class. Quant. Grav. 34 (2017) 095003 [arXiv:1606.07730] [INSPIRE].
I.B. Frenkel, J. Lepowsky and A. Meurman, A natural representation of the fischer-griess monster with the modular function j as character, Proc. Nat. Acad. Sci. 81 (1984) 3256.
I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from Conformal Field Theory, JHEP 10 (2009) 079 [arXiv:0907.0151] [INSPIRE].
S. Hellerman, A Universal Inequality for CFT and Quantum Gravity, JHEP 08 (2011) 130 [arXiv:0902.2790] [INSPIRE].
D. Friedan and C.A. Keller, Constraints on 2d CFT partition functions, JHEP 10 (2013) 180 [arXiv:1307.6562] [INSPIRE].
S. Collier, Y.-H. Lin and X. Yin, Modular Bootstrap Revisited, JHEP 09 (2018) 061 [arXiv:1608.06241] [INSPIRE].
M. Montero, G. Shiu and P. Soler, The Weak Gravity Conjecture in three dimensions, JHEP 10 (2016) 159 [arXiv:1606.08438] [INSPIRE].
J.P. Conlon and F. Revello, Moduli Stabilisation and the Holographic Swampland, LHEP 2020 (2020) 171 [arXiv:2006.01021] [INSPIRE].
O. Nachtmann, Positivity constraints for anomalous dimensions, Nucl. Phys. B 63 (1973) 237 [INSPIRE].
T. Hartman, S. Jain and S. Kundu, Causality Constraints in Conformal Field Theory, JHEP 05 (2016) 099 [arXiv:1509.00014] [INSPIRE].
J.P. Conlon, The QCD axion and moduli stabilisation, JHEP 05 (2006) 078 [hep-th/0602233] [INSPIRE].
R. Flauger, S. Paban, D. Robbins and T. Wrase, Searching for slow-roll moduli inflation in massive type IIA supergravity with metric fluxes, Phys. Rev. D 79 (2009) 086011 [arXiv:0812.3886] [INSPIRE].
A. Font, A. Herráez and L.E. Ibáñez, On scale separation in type-II AdS flux vacua, JHEP 03 (2020) 013 [arXiv:1912.03317] [INSPIRE].
F. Marchesano, D. Prieto, J. Quirant and P. Shukla, Systematics of Type IIA moduli stabilisation, JHEP 11 (2020) 113 [arXiv:2007.00672] [INSPIRE].
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Apers, F., Montero, M., Van Riet, T. et al. Comments on classical AdS flux vacua with scale separation. J. High Energ. Phys. 2022, 167 (2022). https://doi.org/10.1007/JHEP05(2022)167
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DOI: https://doi.org/10.1007/JHEP05(2022)167