Abstract
We study probe flavor branes supersymmetrically embedded in the Klebanov-Strassler background. The embedding is controlled by a single complex parameter μ related to the quark mass. We study the spectrum of the vector mesons as a function of μ and compare it with the experimental data. Assuming that the ρ(2150) meson is a 3 3 S 1 mode we find a remarkable agreement with the masses of the lightest excited ρ-mesons. Also, for a certain range of parameters our model exhibits an unusual behavior. The mesons built of the lighter quarks become more heavy than the ones built of the heavier quarks. We comment on a possible connection this phenomenon may have with the masses of the putative pure strange-anti strange mesons.
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F. Bigazzi, A.L. Cotrone, M. Petrini and A. Zaffaroni, Supergravity duals of supersymmetric four dimensional gauge theories, Riv. Nuovo Cim. 25N12 (2002) 1 [hep-th/0303191] [SPIRES].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [SPIRES].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and χSB-resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [SPIRES].
S. Kuperstein, Meson spectroscopy from holomorphic probes on the warped deformed conifold, JHEP 03 (2005) 014 [hep-th/0411097] [SPIRES].
A. Dymarsky, D. Melnikov and A. Solovyov, I-odd sector of the Klebanov-Strassler theory, JHEP 05 (2009) 105 [arXiv:0810.5666] [SPIRES].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [SPIRES].
I.R. Klebanov and E. Witten, Superconformal field theory on threebranes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [SPIRES].
S. Kuperstein and J. Sonnenschein, A New Holographic Model of Chiral Symmetry Breaking, JHEP 09 (2008) 012 [arXiv:0807.2897] [SPIRES].
A. Dymarsky, S. Kuperstein and J. Sonnenschein, Chiral Symmetry Breaking with non-SUSY D7-branes in ISD backgrounds, JHEP 08 (2009) 005 [arXiv:0904.0988] [SPIRES].
C.A.B. Bayona, H. Boschi-Filho, M. Ihl and M.A.C. Torres, Pion and Vector Meson Form Factors in the Kuperstein-Sonnenschein holographic model, JHEP 08 (2010) 122 [arXiv:1006.2363] [SPIRES].
M. Ihl, M.A.C. Torres, H. Boschi-Filho and C.A.B. Bayona, Scalar and vector meson spectra of flavor chiral symmetry breaking in the Klebanov-Strassler background, arXiv:1010.0993 [SPIRES].
P. Ouyang, Holomorphic D7-branes and flavored N = 1 gauge theories, Nucl. Phys. B 699 (2004) 207 [hep-th/0311084] [SPIRES].
F. Bigazzi, A.L. Cotrone and A. Paredes, Klebanov-Witten theory with massive dynamical flavors, JHEP 09 (2008) 048 [arXiv:0807.0298] [SPIRES].
F. Bigazzi, A.L. Cotrone, A. Paredes and A. Ramallo, Non chiral dynamical flavors and screening on the conifold, Fortsch. Phys. 57 (2009) 514 [arXiv:0810.5220] [SPIRES].
F. Benini and A. Dymarsky, work in progress.
I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [SPIRES].
F. Benini et al., Holographic Gauge Mediation, JHEP 12 (2009) 031 [arXiv:0903.0619] [SPIRES].
A. Dymarsky, Flavor brane on the baryonic branch of moduli space, JHEP 03 (2010) 067 [arXiv:0909.3083] [SPIRES].
J.G. Russo and K. Sfetsos, Rotating D3 branes and QCD in three dimensions, Adv. Theor. Math. Phys. 3 (1999) 131 [hep-th/9901056] [SPIRES].
F. Bigazzi, A.L. Cotrone, A. Paredes and A.V. Ramallo, Screening effects on meson masses from holography, JHEP 05 (2009) 034 [arXiv:0903.4747] [SPIRES].
A. Paredes, On unquenched N = 2 holographic flavor, JHEP 12 (2006) 032 [hep-th/0610270] [SPIRES].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [SPIRES].
O. Aharony, A note on the holographic interpretation of string theory backgrounds with varying flux, JHEP 03 (2001) 012 [hep-th/0101013] [SPIRES].
A. Dymarsky, I.R. Klebanov and N. Seiberg, On the moduli space of the cascading SU(M+p) × SU(p) gauge theory, JHEP 01 (2006) 155 [hep-th/0511254] [SPIRES].
Particle Data Group collaboration, S. Eidelman et al., Review of particle physics, Phys. Lett. B 592 (2004) 1 [SPIRES].
E. Klempt and A. Zaitsev, Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts, Phys. Rept. 454 (2007) 1 [arXiv:0708.4016] [SPIRES].
A. Karch, E. Katz, D.T. Son and M.A. Stephanov, Linear Confinement and AdS/QCD, Phys. Rev. D 74 (2006) 015005 [hep-ph/0602229] [SPIRES].
A.V. Anisovich, V.V. Anisovich and A.V. Sarantsev, Systematics of q anti-q states in the (n, M 2 ) and (J, M 2 ) planes, Phys. Rev. D 62 (2000) 051502 [hep-ph/0003113] [SPIRES].
M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavour, JHEP 07 (2003) 049 [hep-th/0304032] [SPIRES].
S.S. Gubser, C.P. Herzog and I.R. Klebanov, Symmetry breaking and axionic strings in the warped deformed conifold, JHEP 09 (2004) 036 [hep-th/0405282] [SPIRES].
C.R. Allton, V. Giménez, L. Giusti and F. Rapuano, Light quenched hadron spectrum and decay constants on different lattices, Nucl. Phys. B 489 (1997) 427 [hep-lat/9611021] [SPIRES].
I. Iatrakis, E. Kiritsis and A. Paredes, An AdS/QCD model from Sen’s tachyon action, Phys. Rev. D 81 (2010) 115004 [arXiv:1003.2377] [SPIRES].
I. Iatrakis, E. Kiritsis and A. Paredes, An AdS/QCD model from tachyon condensation: II, JHEP 11 (2010) 123 [arXiv:1010.1364] [SPIRES].
F. Bigazzi, A.L. Cotrone, A. Paredes and A.V. Ramallo, The Klebanov-Strassler model with massive dynamical flavors, JHEP 03 (2009) 153 [arXiv:0812.3399] [SPIRES].
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ArXiv ePrint: 1010.1017
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Cotrone, A.L., Dymarsky, A. & Kuperstein, S. On vector meson masses in a holographic SQCD. J. High Energ. Phys. 2011, 5 (2011). https://doi.org/10.1007/JHEP03(2011)005
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DOI: https://doi.org/10.1007/JHEP03(2011)005