Abstract
We study the dynamics of localized and fully backreacting anti-D3 branes at the tip of the Klebanov-Strassler geometry. We use a non-supersymmetric version of the Polchinski-Strassler analysis to compute the potential for anti-D3 branes to polarize into all kinds of five-brane shells in all possible directions. We find that generically there is a direction along which the brane-brane interaction is repulsive, which implies that anti-D3 branes are tachyonic. Hence, even though anti-D3 branes can polarize into five-branes, the solution will most likely be unstable. This indicates that anti-D3 brane uplift may not result in stable de Sitter vacua.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
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. 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, 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, 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].
S. Massai, A Comment on anti-brane singularities in warped throats, arXiv:1202.3789 [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].
I. Bena, A. Buchel and O.J.C. Dias, Horizons cannot save the Landscape, Phys. Rev. D 87 (2013) 063012 [arXiv:1212.5162] [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, arXiv:1409.0534 [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].
J. Polchinski and M.J. Strassler, The String dual of a confining four-dimensional gauge theory, hep-th/0003136 [INSPIRE].
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, JHEP 12 (1998) 022 [hep-th/9810126] [INSPIRE].
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, The Supergravity dual of N = 1 super Yang-Mills theory, Nucl. Phys. B 569 (2000) 451 [hep-th/9909047] [INSPIRE].
K. Pilch and N.P. Warner, N=1 supersymmetric renormalization group flows from IIB supergravity, Adv. Theor. Math. Phys. 4 (2002) 627 [hep-th/0006066] [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].
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 and N. Halmagyi, On The Inflaton Potential From Antibranes in Warped Throats, JHEP 07 (2012) 140 [arXiv:1011.2626] [INSPIRE].
I. Bena, G. Giecold, M. Graña, N. Halmagyi and S. Massai, On Metastable Vacua and the Warped Deformed Conifold: Analytic Results, Class. Quant. Grav. 30 (2013) 015003 [arXiv:1102.2403] [INSPIRE].
A. Dymarsky and S. Massai, Uplifting the baryonic branch: a test for backreacting anti-D3-branes, JHEP 11 (2014) 034 [arXiv:1310.0015] [INSPIRE].
D. Junghans, D. Schmidt and M. Zagermann, Curvature-induced Resolution of Anti-brane Singularities, JHEP 1410 (2014) 34 [arXiv:1402.6040] [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].
P. Candelas and X.C. de la Ossa, Comments on Conifolds, Nucl. Phys. B 342 (1990) 246 [INSPIRE].
C.P. Herzog, I.R. Klebanov and P. Ouyang, Remarks on the warped deformed conifold, hep-th/0108101 [INSPIRE].
C. Krishnan and S. Kuperstein, The Mesonic Branch of the Deformed Conifold, JHEP 05 (2008) 072 [arXiv:0802.3674] [INSPIRE].
J. Evslin and S. Kuperstein, Trivializing and Orbifolding the Conifold’s Base, JHEP 04 (2007) 001 [hep-th/0702041] [INSPIRE].
O. DeWolfe, S. Kachru and H.L. Verlinde, The Giant inflaton, JHEP 05 (2004) 017 [hep-th/0403123] [INSPIRE].
F. Zamora, Nonsupersymmetric SO(3) invariant deformations of N = 1* vacua and their dual string theory description, JHEP 12 (2000) 021 [hep-th/0007082] [INSPIRE].
D. Junghans, Backreaction of Localised Sources in String Compactifications, arXiv:1309.5990 [INSPIRE].
D.Z. Freedman and J.A. Minahan, Finite temperature effects in the supergravity dual of the N =1* gauge theory, JHEP 01 (2001) 036 [hep-th/0007250] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101] [INSPIRE].
S. Massai, G. Pasini and A. Puhm, Metastability in Bubbling AdS Space, arXiv:1407.6007 [INSPIRE].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
I. Bena and N.P. Warner, A Harmonic family of dielectric flow solutions with maximal supersymmetry, JHEP 12 (2004) 021 [hep-th/0406145] [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.S. Gubser, Supersymmetry and F-theory realization of the deformed conifold with three form flux, hep-th/0010010 [INSPIRE].
S. Kuperstein and J. Sonnenschein, Analytic nonsupersymmtric background dual of a confining gauge theory and the corresponding plane wave theory of hadrons, JHEP 02 (2004) 015 [hep-th/0309011] [INSPIRE].
A. Dymarsky and S. Kuperstein, Non-supersymmetric Conifold, JHEP 08 (2012) 033 [arXiv:1111.1731] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Tachyonic Anti-M2 Branes, JHEP 06 (2014) 173 [arXiv:1402.2294] [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].
I. Bena, G. Giecold and N. Halmagyi, The Backreaction of Anti-M2 Branes on a Warped Stenzel Space, JHEP 04 (2011) 120 [arXiv:1011.2195] [INSPIRE].
S. Massai, Metastable Vacua and the Backreacted Stenzel Geometry, JHEP 06 (2012) 059 [arXiv:1110.2513] [INSPIRE].
J. Blaback, U.H. Danielsson, D. Junghans, T. Van Riet, T. Wrase et al., Smeared versus localised sources in flux compactifications, JHEP 12 (2010) 043 [arXiv:1009.1877] [INSPIRE].
J. Blaback, U.H. Danielsson, D. Junghans, T. Van Riet, T. Wrase et al., The problematic backreaction of SUSY-breaking branes, JHEP 08 (2011) 105 [arXiv:1105.4879] [INSPIRE].
J. Blaback, U.H. Danielsson, D. Junghans, T. Van Riet, T. Wrase et al., (Anti-)Brane backreaction beyond perturbation theory, JHEP 02 (2012) 025 [arXiv:1111.2605] [INSPIRE].
J. Blaback, U.H. Danielsson and T. Van Riet, Resolving anti-brane singularities through time-dependence, JHEP 02 (2013) 061 [arXiv:1202.1132] [INSPIRE].
I. Bena, D. Junghans, S. Kuperstein, T. Van Riet, T. Wrase et al., Persistent anti-brane singularities, JHEP 10 (2012) 078 [arXiv:1205.1798] [INSPIRE].
S.S. Pufu, I.R. Klebanov, T. Klose and J. Lin, Green’s Functions and Non-Singlet Glueballs on Deformed Conifolds, J. Phys. A 44 (2011) 055404 [arXiv:1009.2763] [INSPIRE].
I.R. Klebanov and A.A. Tseytlin, D-branes and dual gauge theories in type 0 strings, Nucl. Phys. B 546 (1999) 155 [hep-th/9811035] [INSPIRE].
M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda, R. Marotta et al., Is a classical description of stable nonBPS D-branes possible?, Nucl. Phys. B 590 (2000) 471 [hep-th/0007097] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein, and S. Massai, to appear.
I. Bena, A. Puhm and B. Vercnocke, Metastable Supertubes and non-extremal Black Hole Microstates, JHEP 04 (2012) 100 [arXiv:1109.5180] [INSPIRE].
I. Bena, A. Puhm and B. Vercnocke, Non-extremal Black Hole Microstates: Fuzzballs of Fire or Fuzzballs of Fuzz?, JHEP 12 (2012) 014 [arXiv:1208.3468] [INSPIRE].
I.R. Klebanov and S.S. Pufu, M-Branes and Metastable States, JHEP 08 (2011) 035 [arXiv:1006.3587] [INSPIRE].
B.D. Chowdhury and S.D. Mathur, Non-extremal fuzzballs and ergoregion emission, Class. Quant. Grav. 26 (2009) 035006 [arXiv:0810.2951] [INSPIRE].
V. Jejjala, O. Madden, S.F. Ross and G. Titchener, Non-supersymmetric smooth geometries and D1 − D5 − P bound states, Phys. Rev. D 71 (2005) 124030 [hep-th/0504181] [INSPIRE].
V. Cardoso, O.J.C. Dias, J.L. Hovdebo and R.C. Myers, Instability of non-supersymmetric smooth geometries, Phys. Rev. D 73 (2006) 064031 [hep-th/0512277] [INSPIRE].
B.D. Chowdhury and S.D. Mathur, Radiation from the non-extremal fuzzball, Class. Quant. Grav. 25 (2008) 135005 [arXiv:0711.4817] [INSPIRE].
S.G. Avery, B.D. Chowdhury and S.D. Mathur, Emission from the D1D5 CFT, JHEP 10 (2009) 065 [arXiv:0906.2015] [INSPIRE].
R. Minasian and D. Tsimpis, On the geometry of nontrivially embedded branes, Nucl. Phys. B 572 (2000) 499 [hep-th/9911042] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1410.7776
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Bena, I., Graña, M., Kuperstein, S. et al. Giant tachyons in the landscape. J. High Energ. Phys. 2015, 146 (2015). https://doi.org/10.1007/JHEP02(2015)146
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2015)146