Abstract
Antibranes provide some of the most generic ways to uplift Anti-de Sitter flux compactifications to de Sitter, and there is a growing body of evidence that antibranes placed in long warped throats such as the Klebanov-Strassler warped deformed conifold solution have a brane-brane-repelling tachyon. This tachyon was first found in the regime of parameters in which the backreaction of the antibranes is large, and its existence was inferred from a highly nontrivial cancellation of certain terms in the inter-brane potential. We use a brane effective action approach, similar to that proposed by Michel, Mintun, Polchinski, Puhm and Saad in [29], to analyze antibranes in Klebanov-Strassler when their backreaction is small, and find a regime of parameters where all perturbative contributions to the action can be computed explicitly. We find that the cancellation found at strong coupling is also present in the weak-coupling regime, and we establish its existence to all loops. Our calculation indicates that the spectrum of the antibrane worldvolume theory is not gapped, and may generically have a tachyon. Hence uplifting mechanisms involving antibranes remain questionable even when backreaction is small.
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I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χ SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Ricci flat metrics, harmonic forms and brane resolutions, Commun. Math. Phys. 232 (2003) 457 [hep-th/0012011] [INSPIRE].
B. Janssen, P. Meessen and T. Ortín, The D8-brane tied up: string and brane solutions in massive type IIA supergravity, Phys. Lett. B 453 (1999) 229 [hep-th/9901078] [INSPIRE].
I. Bena, M. Graña and N. Halmagyi, On the existence of meta-stable vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [arXiv:0912.3519] [INSPIRE].
I. Bena, G. Giecold and N. Halmagyi, The backreaction of anti-M 2 branes on a warped Stenzel space, JHEP 04 (2011) 120 [arXiv:1011.2195] [INSPIRE].
A. Dymarsky, On gravity dual of a metastable vacuum in Klebanov-Strassler theory, JHEP 05 (2011) 053 [arXiv:1102.1734] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, The backreaction of anti-D3 branes on the Klebanov-Strassler geometry, JHEP 06 (2013) 060 [arXiv:1106.6165] [INSPIRE].
J. Blaback, U.H. Danielsson, D. Junghans, T. Van Riet, T. Wrase and M. Zagermann, (Anti-)brane backreaction beyond perturbation theory, JHEP 02 (2012) 025 [arXiv:1111.2605] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Anti-D3 branes: singular to the bitter end, Phys. Rev. D 87 (2013) 106010 [arXiv:1206.6369] [INSPIRE].
F.F. Gautason, D. Junghans and M. Zagermann, Cosmological constant, near brane behavior and singularities, JHEP 09 (2013) 123 [arXiv:1301.5647] [INSPIRE].
G. Giecold, F. Orsi and A. Puhm, Insane anti-membranes?, JHEP 03 (2014) 041 [arXiv:1303.1809] [INSPIRE].
I. Bena, D. Junghans, S. Kuperstein, T. Van Riet, T. Wrase and M. Zagermann, Persistent anti-brane singularities, JHEP 10 (2012) 078 [arXiv:1205.1798] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Polchinski-Strassler does not uplift Klebanov-Strassler, JHEP 09 (2013) 142 [arXiv:1212.4828] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Tachyonic anti-M 2 branes, JHEP 06 (2014) 173 [arXiv:1402.2294] [INSPIRE].
I. Bena, A. Buchel and O.J.C. Dias, Horizons cannot save the landscape, Phys. Rev. D 87 (2013) 063012 [arXiv:1212.5162] [INSPIRE].
I. Bena, J. Blaback, U.H. Danielsson and T. Van Riet, Antibranes cannot become black, Phys. Rev. D 87 (2013) 104023 [arXiv:1301.7071] [INSPIRE].
A. Buchel and D.A. Galante, Cascading gauge theory on dS 4 and string theory landscape, Nucl. Phys. B 883 (2014) 107 [arXiv:1310.1372] [INSPIRE].
J. Blabäck, U.H. Danielsson, D. Junghans, T. Van Riet and S.C. Vargas, Localised anti-branes in non-compact throats at zero and finite T , JHEP 02 (2015) 018 [arXiv:1409.0534] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS 7 solutions of type-II supergravity, JHEP 04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
D. Junghans, D. Schmidt and M. Zagermann, Curvature-induced resolution of anti-brane singularities, JHEP 10 (2014) 034 [arXiv:1402.6040] [INSPIRE].
G.S. Hartnett, Localised anti-branes in flux backgrounds, JHEP 06 (2015) 007 [arXiv:1501.06568] [INSPIRE].
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].
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].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Giant tachyons in the landscape, JHEP 02 (2015) 146 [arXiv:1410.7776] [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].
I. Bena, E. Gorbatov, S. Hellerman, N. Seiberg and D. Shih, A note on (meta)stable brane configurations in MQCD, JHEP 11 (2006) 088 [hep-th/0608157] [INSPIRE].
S. Franco and A.M. . Uranga, Dynamical SUSY breaking at meta-stable minima from D-branes at obstructed geometries, JHEP 06 (2006) 031 [hep-th/0604136] [INSPIRE].
H. Ooguri and Y. Ookouchi, Landscape of supersymmetry breaking vacua in geometrically realized gauge theories, Nucl. Phys. B 755 (2006) 239 [hep-th/0606061] [INSPIRE].
B. Michel, E. Mintun, J. Polchinski, A. Puhm and P. Saad, Remarks on brane and antibrane dynamics, JHEP 09 (2015) 021 [arXiv:1412.5702] [INSPIRE].
T. Damour, A new and consistent method for classical renormalization, Nuovo Cim. B 26 (1975) 157 [INSPIRE].
W.D. Goldberger and M.B. Wise, Renormalization group flows for brane couplings, Phys. Rev. D 65 (2002) 025011 [hep-th/0104170] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein, P. Ntokos and M. Petrini, D3-brane model building and the supertrace rule, Phys. Rev. Lett. 116 (2016) 141601 [arXiv:1510.07039] [INSPIRE].
M. Graña, D3-brane action in a supergravity background: the fermionic story, Phys. Rev. D 66 (2002) 045014 [hep-th/0202118] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
W. Taylor and M. Van Raamsdonk, Multiple D0-branes in weakly curved backgrounds, Nucl. Phys. B 558 (1999) 63 [hep-th/9904095] [INSPIRE].
M. Graña and J. Polchinski, Supersymmetric three form flux perturbations on AdS 5, Phys. Rev. D 63 (2001) 026001 [hep-th/0009211] [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].
A.J. Parkes and P.C. West, N = 1 supersymmetric mass terms in the N = 4 supersymmetric Yang-Mills theory, Phys. Lett. B 122 (1983) 365 [INSPIRE].
A. Parkes and P.C. West, Finiteness and explicit supersymmetry breaking of the N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 222 (1983) 269 [INSPIRE].
A. Parkes and P.C. West, Explicit supersymmetry breaking can preserve finiteness in rigid N = 2 supersymmetric theories, Phys. Lett. B 127 (1983) 353 [INSPIRE].
A. Parkes and P.C. West, Finiteness in rigid supersymmetric theories, Phys. Lett. B 138 (1984) 99 [INSPIRE].
J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136 [INSPIRE].
C.P. Herzog, I.R. Klebanov and P. Ouyang, Remarks on the warped deformed conifold, in the proceeding of Modern trends in string theory: 2nd Lisbon school superstrings on g theory superstrings, July 13-17, Lisbon, Portugal (2001), hep-th/0108101 [INSPIRE].
J.M. Maldacena, Strings in flat space and plane waves from N = 4 super Yang-Mills, Ann. Henri Poincaré 4 (2003) S111 [Braz. J. Phys. 34 (2004) 151].
M. Graña, T.W. Grimm, H. Jockers and J. Louis, Soft supersymmetry breaking in Calabi-Yau orientifolds with D-branes and fluxes, Nucl. Phys. B 690 (2004) 21 [hep-th/0312232] [INSPIRE].
P.G. Camara, L.E. Ibáñez and A.M. Uranga, Flux induced SUSY breaking soft terms, Nucl. Phys. B 689 (2004) 195 [hep-th/0311241] [INSPIRE].
P. McGuirk, G. Shiu and F. Ye, Soft branes in supersymmetry-breaking backgrounds, JHEP 07 (2012) 188 [arXiv:1206.0754] [INSPIRE].
I. Jack and D.R.T. Jones, Nonstandard soft supersymmetry breaking, Phys. Lett. B 457 (1999) 101 [hep-ph/9903365] [INSPIRE].
L. Girardello and M.T. Grisaru, Soft breaking of supersymmetry, Nucl. Phys. B 194 (1982) 65 [INSPIRE].
D.R.T. Jones, L. Mezincescu and Y.P. Yao, Soft breaking of two loop finite N = 1 supersymmetric gauge theories, Phys. Lett. B 148 (1984) 317 [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
I. Bena and S. Kuperstein, Brane polarization is no cure for tachyons, JHEP 09 (2015) 112 [arXiv:1504.00656] [INSPIRE].
S.P. Martin and M.T. Vaughn, Two loop renormalization group equations for soft supersymmetry breaking couplings, Phys. Rev. D 50 (1994) 2282 [Erratum ibid. D 78 (2008 039903] [hep-ph/9311340] [INSPIRE].
Y. Yamada, Two loop renormalization group equations for soft SUSY breaking scalar interactions: supergraph method, Phys. Rev. D 50 (1994) 3537 [hep-ph/9401241] [INSPIRE].
I. Jack and D.R.T. Jones, Soft supersymmetry breaking and finiteness, Phys. Lett. B 333 (1994) 372 [hep-ph/9405233] [INSPIRE].
S. Kachru, Fluxes and moduli stabilization, website, video and lecture notes, (2012).
O. DeWolfe, S. Kachru and H.L. Verlinde, The giant inflaton, JHEP 05 (2004) 017 [hep-th/0403123] [INSPIRE].
O. Aharony, Y.E. Antebi and M. Berkooz, Open string moduli in KKLT compactifications, Phys. Rev. D 72 (2005) 106009 [hep-th/0508080] [INSPIRE].
A.M. Uranga, Comments on nonsupersymmetric orientifolds at strong coupling, JHEP 02 (2000) 041 [hep-th/9912145] [INSPIRE].
R. Kallosh and T. Wrase, Emergence of spontaneously broken supersymmetry on an anti-D3-brane in KKLT dS vacua, JHEP 12 (2014) 117 [arXiv:1411.1121] [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].
R. Kallosh, F. Quevedo and A.M. Uranga, String theory realizations of the nilpotent goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].
I. Garc´ıa-Etxebarria, F. Quevedo and R. Valandro, Global string embeddings for the nilpotent goldstino, JHEP 02 (2016) 148 [arXiv:1512.06926] [INSPIRE].
J. Polchinski, Why trust a theory? Some further remarks (part 1), arXiv:1601.06145 [INSPIRE].
U.H. Danielsson, S.S. Haque, G. Shiu and T. Van Riet, Towards classical de Sitter solutions in string theory, JHEP 09 (2009) 114 [arXiv:0907.2041] [INSPIRE].
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Bena, I., Blåbäck, J. & Turton, D. Loop corrections to the antibrane potential. J. High Energ. Phys. 2016, 132 (2016). https://doi.org/10.1007/JHEP07(2016)132
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DOI: https://doi.org/10.1007/JHEP07(2016)132