Abstract
We consider an instance of the AdS/CFT duality where the bulk theory contains an open string tachyon, and study the instability from the viewpoint of the boundary field theory. We focus on the specific example of the AdS5 × S 5 background with two probe D7 branes intersecting at general angles. For generic angles supersymmetry is completely broken and there is an open string tachyon between the branes. The field theory action for this system is obtained by coupling to \( \mathcal{N}=4 \) super Yang-Mills two \( \mathcal{N}=2 \) hyper multiplets in the fundamental representation of the SU(N) gauge group, but with different choices of embedding of the two \( \mathcal{N}=2 \) subalgebras into \( \mathcal{N}=4 \). On the field theory side we find a one-loop Coleman-Weinberg instability in the effective potential for the fundamental scalars. We identify a mesonic operator as the dual of the open string tachyon. By AdS/CFT, we predict the tachyon mass for small ’t Hooft coupling (large bulk curvature) and confirm that it violates the AdS stability bound.
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References
A. Sen, Tachyon dynamics in open string theory, Int. J. Mod. Phys. A 20 (2005) 5513 [hep-th/0410103] [INSPIRE].
R. Casero, E. Kiritsis and A. Paredes, Chiral symmetry breaking as open string tachyon condensation, Nucl. Phys. B 787 (2007) 98 [hep-th/0702155] [INSPIRE].
O. Bergman, S. Seki and J. Sonnenschein, Quark mass and condensate in hQCD, JHEP 12 (2007) 037 [arXiv:0708.2839] [INSPIRE].
G.W. Gibbons, K. Hashimoto and S. Hirano, Gravitational dual of tachyon condensation, JHEP 09 (2009) 100 [arXiv:0906.0401] [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
T. Sakai and J. Sonnenschein, Probing flavored mesons of confining gauge theories by supergravity, JHEP 09 (2003) 047 [hep-th/0305049] [INSPIRE].
S. Kuperstein, Meson spectroscopy from holomorphic probes on the warped deformed conifold, JHEP 03 (2005) 014 [hep-th/0411097] [INSPIRE].
D. Arean, D.E. Crooks and A.V. Ramallo, Supersymmetric probes on the conifold, JHEP 11 (2004) 035 [hep-th/0408210] [INSPIRE].
P. Ouyang, Holomorphic D7 branes and flavored N = 1 gauge theories, Nucl. Phys. B 699 (2004) 207 [hep-th/0311084] [INSPIRE].
F. Canoura, J.D. Edelstein and A.V. Ramallo, D-brane probes on L(a, b, c) superconformal field theories, JHEP 09 (2006) 038 [hep-th/0605260] [INSPIRE].
R. Apreda, J. Erdmenger, D. Lüst and C. Sieg, Adding flavour to the Polchinski-Strassler background, JHEP 01 (2007) 079 [hep-th/0610276] [INSPIRE].
C. Sieg, Holographic flavour in the N = 1 Polchinski-Strassler background, JHEP 08 (2007) 031 [arXiv:0704.3544] [INSPIRE].
S. Penati, M. Pirrone and C. Ratti, Mesons in marginally deformed AdS/CFT, JHEP 04 (2008) 037 [arXiv:0710.4292] [INSPIRE].
X.-J. Wang and S. Hu, Intersecting branes and adding flavors to the Maldacena-Núñez background, JHEP 09 (2003) 017 [hep-th/0307218] [INSPIRE].
C. Núñez, A. Paredes and A.V. Ramallo, Flavoring the gravity dual of N = 1 Yang-Mills with probes, JHEP 12 (2003) 024 [hep-th/0311201] [INSPIRE].
A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [INSPIRE].
O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, Phys. Rev. D 66 (2002) 025009 [hep-th/0111135] [INSPIRE].
J. Erdmenger, Z. Guralnik and I. Kirsch, Four-dimensional superconformal theories with interacting boundaries or defects, Phys. Rev. D 66 (2002) 025020 [hep-th/0203020] [INSPIRE].
K. Skenderis and M. Taylor, Branes in AdS and pp wave space-times, JHEP 06 (2002) 025 [hep-th/0204054] [INSPIRE].
N.R. Constable, J. Erdmenger, Z. Guralnik and I. Kirsch, Intersecting D-3 branes and holography, Phys. Rev. D 68 (2003) 106007 [hep-th/0211222] [INSPIRE].
A. Adams and E. Silverstein, Closed string tachyons, AdS/CFT and large-N QCD, Phys. Rev. D 64 (2001) 086001 [hep-th/0103220] [INSPIRE].
A. Dymarsky, I. Klebanov and R. Roiban, Perturbative gauge theory and closed string tachyons, JHEP 11 (2005) 038 [hep-th/0509132] [INSPIRE].
A. Dymarsky, I. Klebanov and R. Roiban, Perturbative search for fixed lines in large-N gauge theories, JHEP 08 (2005) 011 [hep-th/0505099] [INSPIRE].
E. Pomoni and L. Rastelli, Large-N field theory and AdS tachyons, JHEP 04 (2009) 020 [arXiv:0805.2261] [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Positive energy in Anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197 [INSPIRE].
N. Marcus, A. Sagnotti and W. Siegel, Ten-dimensional supersymmetric Yang-Mills theory in terms of four-dimensional superfields, Nucl. Phys. B 224 (1983) 159 [INSPIRE].
S. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1 [hep-th/0108200] [INSPIRE].
O. Aharony, A. Fayyazuddin and J.M. Maldacena, The large-N limit of N = 2, N = 1 field theories from three-branes in F-theory, JHEP 07 (1998) 013 [hep-th/9806159] [INSPIRE].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavor, JHEP 07 (2003) 049 [hep-th/0304032] [INSPIRE].
K. Hashimoto and S. Nagaoka, Recombination of intersecting D-branes by local tachyon condensation, JHEP 06 (2003) 034 [hep-th/0303204] [INSPIRE].
F.T. Epple and D. Lüst, Tachyon condensation for intersecting branes at small and large angles, Fortsch. Phys. 52 (2004) 367 [hep-th/0311182] [INSPIRE].
N. Berkovits, A ten-dimensional super Yang-Mills action with off-shell supersymmetry, Phys. Lett. B 318 (1993) 104 [hep-th/9308128] [INSPIRE].
L. Baulieu, N.J. Berkovits, G. Bossard and A. Martin, Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries, Phys. Lett. B 658 (2008) 249 [arXiv:0705.2002] [INSPIRE].
L.J. Dixon, D. Friedan, E.J. Martinec and S.H. Shenker, The conformal field theory of orbifolds, Nucl. Phys. B 282 (1987) 13 [INSPIRE].
M. Cvetič and I. Papadimitriou, Conformal field theory couplings for intersecting D-branes on orientifolds, Phys. Rev. D 68 (2003) 046001 [Erratum ibid. D 70 (2004) 029903] [hep-th/0303083] [INSPIRE].
S. Abel and A. Owen, Interactions in intersecting brane models, Nucl. Phys. B 663 (2003) 197 [hep-th/0303124] [INSPIRE].
I. Antoniadis, K. Benakli and A. Laugier, Contact interactions in D-brane models, JHEP 05 (2001) 044 [hep-th/0011281] [INSPIRE].
T. Erler and N. Mann, Integrable open spin chains and the doubling trick in N = 2 SYM with fundamental matter, JHEP 01 (2006) 131 [hep-th/0508064] [INSPIRE].
N. Mann and S.E. Vazquez, Classical open string integrability, JHEP 04 (2007) 065 [hep-th/0612038] [INSPIRE].
D. Correa and C. Young, Reflecting magnons from D7 and D5 branes, J. Phys. A 41 (2008) 455401 [arXiv:0808.0452] [INSPIRE].
D. Correa and C. Young, Asymptotic Bethe equations for open boundaries in planar AdS/CFT, J. Phys. A 43 (2010) 145401 [arXiv:0912.0627] [INSPIRE].
J. Minahan and K. Zarembo, The Bethe ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [INSPIRE].
E. D’Hoker, D.Z. Freedman and W. Skiba, Field theory tests for correlators in the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 045008 [hep-th/9807098] [INSPIRE].
N.R. Constable, D.Z. Freedman, M. Headrick, S. Minwalla, L. Motl, et al., PP wave string interactions from perturbative Yang-Mills theory, JHEP 07 (2002) 017 [hep-th/0205089] [INSPIRE].
E. D’Hoker and A.V. Ryzhov, Three point functions of quarter BPS operators in N = 4 SYM, JHEP 02 (2002) 047 [hep-th/0109065] [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
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ArXiv ePrint: 1002.0006
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Pomoni, E., Rastelli, L. Intersecting flavor branes. J. High Energ. Phys. 2012, 171 (2012). https://doi.org/10.1007/JHEP10(2012)171
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DOI: https://doi.org/10.1007/JHEP10(2012)171