Abstract
We revisit and extend the correspondence between black holes, domain walls and fluxes in type IIA compactifications. We argue that these three systems can be described by the same supergravity effective action, modulo proper identifications and adjustments. Then, we apply the correspondence to investigate swampland conjectures on de Sitter and anti-de Sitter vacua, as well as on the black hole entropy. We show that, in certain cases, swampland conjectures can be motivated from properties of black hole solutions, such as positiveness of the entropy. This provides a bottom-up rationale which is complementary to the usual tests in string theory. When asking for an agreement between the anti-de Sitter and the black hole entropy distance conjectures, we are led to an extension of the correspondence which includes geometric fluxes and the associated Kaluza-Klein monopoles domain walls. Finally, we point out that the anti-de Sitter distance conjecture is naturally implemented in certain asymptotically anti-de Sitter black holes as a consequence of a constraint involving black hole charges and supergravity gauge couplings.
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References
E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
M. van Beest, J. Calderón-Infante, D. Mirfendereski and I. Valenzuela, Lectures on the Swampland Program in String Compactifications, Phys. Rept. 989 (2022) 1 [arXiv:2102.01111] [INSPIRE].
N.B. Agmon, A. Bedroya, M.J. Kang and C. Vafa, Lectures on the string landscape and the Swampland, arXiv:2212.06187 [INSPIRE].
Q. Bonnefoy, L. Ciambelli, D. Lüst and S. Lüst, Infinite Black Hole Entropies at Infinite Distances and Tower of States, Nucl. Phys. B 958 (2020) 115112 [arXiv:1912.07453] [INSPIRE].
N. Cribiori et al., Large and small non-extremal black holes, thermodynamic dualities, and the Swampland, JHEP 10 (2022) 093 [arXiv:2202.04657] [INSPIRE].
M. Delgado, M. Montero and C. Vafa, Black holes as probes of moduli space geometry, JHEP 04 (2023) 045 [arXiv:2212.08676] [INSPIRE].
N. Cribiori, D. Lust and G. Staudt, Black hole entropy and moduli-dependent species scale, arXiv:2212.10286 [INSPIRE].
T.W. Grimm, E. Palti and I. Valenzuela, Infinite Distances in Field Space and Massless Towers of States, JHEP 08 (2018) 143 [arXiv:1802.08264] [INSPIRE].
N. Gendler and I. Valenzuela, Merging the weak gravity and distance conjectures using BPS extremal black holes, JHEP 01 (2021) 176 [arXiv:2004.10768] [INSPIRE].
Y. Hamada, M. Montero, C. Vafa and I. Valenzuela, Finiteness and the swampland, J. Phys. A 55 (2022) 224005 [arXiv:2111.00015] [INSPIRE].
C. Long, M. Montero, C. Vafa and I. Valenzuela, The desert and the swampland, JHEP 03 (2023) 109 [arXiv:2112.11467] [INSPIRE].
S. Ferrara, R. Kallosh and A. Strominger, N=2 extremal black holes, Phys. Rev. D 52 (1995) R5412 [hep-th/9508072] [INSPIRE].
S. Ferrara and R. Kallosh, Supersymmetry and attractors, Phys. Rev. D 54 (1996) 1514 [hep-th/9602136] [INSPIRE].
G. Curio, A. Klemm, D. Lust and S. Theisen, On the vacuum structure of type II string compactifications on Calabi-Yau spaces with H fluxes, Nucl. Phys. B 609 (2001) 3 [hep-th/0012213] [INSPIRE].
K. Behrndt, S. Gukov and M. Shmakova, Domain walls, black holes, and supersymmetric quantum mechanics, Nucl. Phys. B 601 (2001) 49 [hep-th/0101119] [INSPIRE].
H. Ooguri, A. Strominger and C. Vafa, Black hole attractors and the topological string, Phys. Rev. D 70 (2004) 106007 [hep-th/0405146] [INSPIRE].
K. Behrndt, G. Lopes Cardoso and D. Lust, Curved BPS domain wall solutions in four-dimensional N=2 supergravity, Nucl. Phys. B 607 (2001) 391 [hep-th/0102128] [INSPIRE].
H. Ooguri, C. Vafa and E.P. Verlinde, Hartle-Hawking wave-function for flux compactifications, Lett. Math. Phys. 74 (2005) 311 [hep-th/0502211] [INSPIRE].
C. Kounnas, D. Lust, 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].
P. Koerber, D. Lust and D. Tsimpis, Type IIA AdS(4) compactifications on cosets, interpolations and domain walls, JHEP 07 (2008) 017 [arXiv:0804.0614] [INSPIRE].
C. Caviezel et al., The Effective theory of type IIA AdS(4) compactifications on nilmanifolds and cosets, Class. Quant. Grav. 26 (2009) 025014 [arXiv:0806.3458] [INSPIRE].
R. Kallosh, New attractors, JHEP 12 (2005) 022 [hep-th/0510024] [INSPIRE].
A. Sen, Extremal black holes and elementary string states, Mod. Phys. Lett. A 10 (1995) 2081 [hep-th/9504147] [INSPIRE].
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
J.M. Maldacena and A. Strominger, Statistical entropy of four-dimensional extremal black holes, Phys. Rev. Lett. 77 (1996) 428 [hep-th/9603060] [INSPIRE].
S. Lüst, C. Vafa, M. Wiesner and K. Xu, Holography and the KKLT scenario, JHEP 10 (2022) 188 [arXiv:2204.07171] [INSPIRE].
F. Apers, Aspects of AdS flux vacua with integer conformal dimensions, arXiv:2211.04187 [INSPIRE].
G. Shiu, F. Tonioni, V. Van Hemelryck and T. Van Riet, AdS scale separation and the distance conjecture, arXiv:2212.06169 [INSPIRE].
M. Cvetic, S. Griffies and S.-J. Rey, Static domain walls in N=1 supergravity, Nucl. Phys. B 381 (1992) 301 [hep-th/9201007] [INSPIRE].
H. Lu, C.N. Pope and P.K. Townsend, Domain walls from anti-de Sitter space-time, Phys. Lett. B 391 (1997) 39 [hep-th/9607164] [INSPIRE].
L. Andrianopoli et al., N=2 supergravity and N=2 superYang-Mills theory on general scalar manifolds: Symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032] [INSPIRE].
P. Fre, M. Trigiante and A. Van Proeyen, Stable de Sitter vacua from N=2 supergravity, Class. Quant. Grav. 19 (2002) 4167 [hep-th/0205119] [INSPIRE].
G. Dall’Agata, Type IIB supergravity compactified on a Calabi-Yau manifold with H fluxes, JHEP 11 (2001) 005 [hep-th/0107264] [INSPIRE].
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [INSPIRE].
M. Montero, C. Vafa and I. Valenzuela, The dark dimension and the Swampland, JHEP 02 (2023) 022 [arXiv:2205.12293] [INSPIRE].
L.A. Anchordoqui, I. Antoniadis and D. Lust, Dark dimension, the swampland, and the dark matter fraction composed of primordial black holes, Phys. Rev. D 106 (2022) 086001 [arXiv:2206.07071] [INSPIRE].
R. Blumenhagen, M. Brinkmann and A. Makridou, The dark dimension in a warped throat, Phys. Lett. B 838 (2023) 137699 [arXiv:2208.01057] [INSPIRE].
E. Gonzalo, M. Montero, G. Obied and C. Vafa, Dark Dimension Gravitons as Dark Matter, arXiv:2209.09249 [INSPIRE].
L.A. Anchordoqui, I. Antoniadis and D. Lust, Aspects of the Dark Dimension in Cosmology, arXiv:2212.08527 [INSPIRE].
L.A. Anchordoqui, I. Antoniadis and D. Lust, The dark universe: Primordial black hole dark graviton gas connection, Phys. Lett. B 840 (2023) 137844 [arXiv:2210.02475] [INSPIRE].
L.A. Anchordoqui et al., The Scale of Supersymmetry Breaking and the Dark Dimension, arXiv:2301.07719 [INSPIRE].
L.J. Romans, Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory, Nucl. Phys. B 383 (1992) 395 [hep-th/9203018] [INSPIRE].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS(4) black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [INSPIRE].
G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP 03 (2011) 037 [arXiv:1012.3756] [INSPIRE].
K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS4 with spherical symmetry, JHEP 04 (2011) 047 [arXiv:1012.4314] [INSPIRE].
T.W. Grimm and J. Louis, The Effective action of type IIA Calabi-Yau orientifolds, Nucl. Phys. B 718 (2005) 153 [hep-th/0412277] [INSPIRE].
L.J. Romans, Massive N=2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [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].
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].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [INSPIRE].
N. Cribiori, D. Lust and M. Scalisi, The gravitino and the swampland, JHEP 06 (2021) 071 [arXiv:2104.08288] [INSPIRE].
L. Andrianopoli, R. D’Auria, S. Ferrara and M. Trigiante, Extremal black holes in supergravity, Lect. Notes Phys. 737 (2008) 661 [hep-th/0611345] [INSPIRE].
L. Andrianopoli, R. D’Auria and S. Ferrara, Consistent reduction of N = 2 → N = 1 four-dimensional supergravity coupled to matter, Nucl. Phys. B 628 (2002) 387 [hep-th/0112192] [INSPIRE].
S. Ferrara and R. Kallosh, On N=8 attractors, Phys. Rev. D 73 (2006) 125005 [hep-th/0603247] [INSPIRE].
N. Cribiori, G. Dall’agata and F. Farakos, Weak gravity versus de Sitter, JHEP 04 (2021) 046 [arXiv:2011.06597] [INSPIRE].
G. Dall’Agata, M. Emelin, F. Farakos and M. Morittu, The unbearable lightness of charged gravitini, JHEP 10 (2021) 076 [arXiv:2108.04254] [INSPIRE].
R. D’Auria, S. Ferrara and P. Fre, Special and quaternionic isometries: General couplings in N=2 supergravity and the scalar potential, Nucl. Phys. B 359 (1991) 705 [INSPIRE].
J. Louis and A. Micu, Type 2 theories compactified on Calabi-Yau threefolds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168] [INSPIRE].
K. Behrndt et al., Classical and quantum N=2 supersymmetric black holes, Nucl. Phys. B 488 (1997) 236 [hep-th/9610105] [INSPIRE].
S. Katz, H.-C. Kim, H.-C. Tarazi and C. Vafa, Swampland Constraints on 5d \( \mathcal{N} \) = 1 Supergravity, JHEP 07 (2020) 080 [arXiv:2004.14401] [INSPIRE].
S.K. Garg and C. Krishnan, Bounds on Slow Roll and the de Sitter Swampland, JHEP 11 (2019) 075 [arXiv:1807.05193] [INSPIRE].
H. Ooguri, E. Palti, G. Shiu and C. Vafa, Distance and de Sitter Conjectures on the Swampland, Phys. Lett. B 788 (2019) 180 [arXiv:1810.05506] [INSPIRE].
A. Bedroya and C. Vafa, Trans-Planckian Censorship and the Swampland, JHEP 09 (2020) 123 [arXiv:1909.11063] [INSPIRE].
S.-J. Lee, W. Lerche and T. Weigand, Emergent strings from infinite distance limits, JHEP 02 (2022) 190 [arXiv:1910.01135] [INSPIRE].
J.M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M theory, JHEP 12 (1997) 002 [hep-th/9711053] [INSPIRE].
G. Aldazabal and A. Font, A Second look at N=1 supersymmetric AdS(4) vacua of type IIA supergravity, JHEP 02 (2008) 086 [arXiv:0712.1021] [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].
G. Aldazabal, P.G. Camara, A. Font and L.E. Ibanez, More dual fluxes and moduli fixing, JHEP 05 (2006) 070 [hep-th/0602089] [INSPIRE].
F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4 from supersymmetric localization, JHEP 05 (2016) 054 [arXiv:1511.04085] [INSPIRE].
F. Benini, K. Hristov and A. Zaffaroni, Exact microstate counting for dyonic black holes in AdS4, Phys. Lett. B 771 (2017) 462 [arXiv:1608.07294] [INSPIRE].
D. Klemm and O. Vaughan, Nonextremal black holes in gauged supergravity and the real formulation of special geometry II, Class. Quant. Grav. 30 (2013) 065003 [arXiv:1211.1618] [INSPIRE].
A. Gnecchi and C. Toldo, On the non-BPS first order flow in N=2 U(1)-gauged Supergravity, JHEP 03 (2013) 088 [arXiv:1211.1966] [INSPIRE].
F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett. 110 (2013) 061601 [arXiv:1211.4030] [INSPIRE].
F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP 06 (2013) 005 [arXiv:1302.4451] [INSPIRE].
P. Ferrero et al., D3-Branes Wrapped on a Spindle, Phys. Rev. Lett. 126 (2021) 111601 [arXiv:2011.10579] [INSPIRE].
P. Ferrero, J.P. Gauntlett, D. Martelli and J. Sparks, M5-branes wrapped on a spindle, JHEP 11 (2021) 002 [arXiv:2105.13344] [INSPIRE].
C. Couzens, K. Stemerdink and D. van de Heisteeg, M2-branes on discs and multi-charged spindles, JHEP 04 (2022) 107 [arXiv:2110.00571] [INSPIRE].
A. Boido, J.M.P. Ipiña and J. Sparks, Twisted D3-brane and M5-brane compactifications from multi-charge spindles, JHEP 07 (2021) 222 [arXiv:2104.13287] [INSPIRE].
P. Ferrero, J.P. Gauntlett and J. Sparks, Supersymmetric spindles, JHEP 01 (2022) 102 [arXiv:2112.01543] [INSPIRE].
B. de Wit and M. van Zalk, Electric and magnetic charges in N=2 conformal supergravity theories, JHEP 10 (2011) 050 [arXiv:1107.3305] [INSPIRE].
A. Ceresole, S. Ferrara and A. Marrani, 4d/5d Correspondence for the Black Hole Potential and its Critical Points, Class. Quant. Grav. 24 (2007) 5651 [arXiv:0707.0964] [INSPIRE].
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Cribiori, N., Gnecchi, A., Lüst, D. et al. On the correspondence between black holes, domain walls and fluxes. J. High Energ. Phys. 2023, 33 (2023). https://doi.org/10.1007/JHEP05(2023)033
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DOI: https://doi.org/10.1007/JHEP05(2023)033