Abstract
We compute the force between a stack of smeared antibranes at the bottom of a warped throat and a stack of smeared branes at some distance up the throat, both for anti-D3 branes and for anti-M2 branes. We perform this calculation in two ways: first, by treating the antibranes as probes in the background sourced by the branes and second, by treating the branes as probes in the candidate background sourced by the antibranes. These two very different calculations yield exactly the same expression for the force, for all values of the brane-antibrane separation. This indicates that the force between a brane and an antibrane is not screened in backgrounds where there is positive charge dissolved in flux, and gives a way to precisely compute the inflaton potential in certain string cosmology scenarios.
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].
S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [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.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, G. Giecold and N. Halmagyi, The backreaction of anti-M2 branes on a warped Stenzel space, JHEP 04 (2011) 120 [arXiv:1011.2195] [INSPIRE].
M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 (2002) 126005 [hep-th/0106014] [INSPIRE].
M. Stenzel, Ricci-flat metrics on the complexification of a compact rank one symmetric space, Manuscripta Math. 80 (1993) 151.
M. Cvetič, G. Gibbons, H. Lü and C. Pope, Ricci flat metrics, harmonic forms and brane resolutions, Commun. Math. Phys. 232 (2003) 457 [hep-th/0012011] [INSPIRE].
I. Bena, G. Giecold, M. Grana and N. Halmagyi, work in progress.
G. Giecold et al., to appear.
M. Cvetič, G. Gibbons, H. Lü and C. Pope, Supersymmetric nonsingular fractional D-2 branes and NS-NS 2 branes, Nucl. Phys. B 606 (2001) 18 [hep-th/0101096] [INSPIRE].
C. Krishnan and S. Kuperstein, The mesonic branch of the deformed conifold, JHEP 05 (2008) 072 [arXiv:0802.3674] [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].
C.P. Herzog, I.R. Klebanov and P. Ouyang, D-branes on the conifold and N = 1 gauge/gravity dualities, hep-th/0205100 [INSPIRE].
I.R. Klebanov and S.S. Pufu, M-Branes and metastable states, JHEP 08 (2011) 035 [arXiv:1006.3587] [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].
M. Berg, M. Haack and W. Mueck, Bulk dynamics in confining gauge theories, Nucl. Phys. B 736 (2006) 82 [hep-th/0507285] [INSPIRE].
M. Berg, M. Haack and W. Mueck, Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT, Nucl. Phys. B 789 (2008) 1 [hep-th/0612224] [INSPIRE].
M.K. Benna, A. Dymarsky, I.R. Klebanov and A. Solovyov, On normal modes of a warped throat, JHEP 06 (2008) 070 [arXiv:0712.4404] [INSPIRE].
A. Dymarsky, D. Melnikov and A. Solovyov, I-odd sector of the Klebanov-Strassler theory, JHEP 05 (2009) 105 [arXiv:0810.5666] [INSPIRE].
V. Borokhov and S.S. Gubser, Non-supersymmetric deformations of the dual of a confining gauge theory, JHEP 05 (2003) 034 [hep-th/0206098] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1011.2626
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Bena, I., Giecold, G., Graña, M. et al. On the inflaton potential from antibranes in warped throats. J. High Energ. Phys. 2012, 140 (2012). https://doi.org/10.1007/JHEP07(2012)140
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2012)140