Abstract
We analyze the isometries of Type IIB flux vacua based on the Papadopolous-Tseytlin ansatz and identify the related massless bulk vector fields. To this end we devise a general ansatz, valid in any flux compactification, for the fluctuations of the metric and p-forms that diagonalizes the coupled equations. We then illustrate the procedure in the simple case of holographic flows driven by the RR 3-form flux only. Specifically we study the fate of the isometries of the Maldacena-Nuñez solution associated to wrapped D5-branes.
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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 A.A. Tseytlin, Gravity Duals of Supersymmetric SU(N) × SU(N + M) Gauge Theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [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].
J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [SPIRES].
G. Papadopoulos and A.A. Tseytlin, Complex geometry of conifolds and 5-brane wrapped on 2-sphere, Class. Quant. Grav. 18 (2001) 1333 [hep-th/0012034] [SPIRES].
R. Apreda, F. Bigazzi, A.L. Cotrone, M. Petrini and A. Zaffaroni, Some comments on N = 1 gauge theories from wrapped branes, Phys. Lett. B 536 (2002) 161 [hep-th/0112236] [SPIRES].
C.P. Herzog, I.R. Klebanov and P. Ouyang, D-branes on the conifold and N = 1 gauge/gravity dualities, hep-th/0205100 [SPIRES].
R. Apreda, D.E. Crooks, N.J. Evans and M. Petrini, Confinement, glueballs and strings from deformed AdS, JHEP 05 (2004) 065 [hep-th/0308006] [SPIRES].
M. Bianchi, Recent Trends in Superstring Phenomenology, arXiv:0909.1799 [SPIRES].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [SPIRES].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].
For a recent review see e.g. S.S. Gubser and A. Karch, From gauge-string duality to strong interactions: a Pedestrian’s Guide, Ann. Rev. Nucl. Part. Sci. 59 (2009) 145 [arXiv:0901.0935] [SPIRES].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].
S. Bhattacharyya, S. Minwalla and S.R. Wadia, The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity, JHEP 08 (2009) 059 [arXiv:0810.1545] [SPIRES].
T. Hartman, W. Song and A. Strominger, Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin, JHEP 03 (2010) 118 [arXiv:0908.3909] [SPIRES].
J. de Boer, K. Papadodimas and E. Verlinde, Holographic Neutron Stars, arXiv:0907.2695 [SPIRES].
P. Horava, Quantum Gravity at a Lifshitz Point, Phys. Rev. D 79 (2009) 084008 [arXiv:0901.3775] [SPIRES].
M. Bianchi, O. DeWolfe, D.Z. Freedman and K. Pilch, Anatomy of two holographic renormalization group flows, JHEP 01 (2001) 021 [hep-th/0009156] [SPIRES].
M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, JHEP 08 (2001) 041 [hep-th/0105276] [SPIRES].
M. Bianchi, D.Z. Freedman and K. Skenderis, Holographic Renormalization, Nucl. Phys. B 631 (2002) 159 [hep-th/0112119] [SPIRES].
M. Krasnitz, A two point function in a cascading N = 1 gauge theory from supergravity, hep-th/0011179 [SPIRES].
M. Krasnitz, Correlation functions in a cascading N = 1 gauge theory from supergravity, JHEP 12 (2002) 048 [hep-th/0209163] [SPIRES].
A. Dymarsky, D. Melnikov and A. Solovyov, I-odd sector of the Klebanov-Strassler theory, JHEP 05 (09) 105 [arXiv:0810.5666] [SPIRES].
A. Dymarsky and D. Melnikov, Gravity Multiplet on KS and BB Backgrounds, JHEP 05 (08) 035 [arXiv:0710.4517] [SPIRES].
M. Berg, M. Haack and W. Mueck, Bulk dynamics in confining gauge theories, Nucl. Phys. B 736 (2006) 82 [hep-th/0507285] [SPIRES].
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] [SPIRES].
A. Brandhuber and K. Sfetsos, Current correlators in the Coulomb branch of N = 4 SYM, JHEP 12 (2000) 014 [hep-th/0010048] [SPIRES].
A. Brandhuber and K. Sfetsos, Current correlators and AdS/CFT away from the conformal point, hep-th/0204193 [SPIRES].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [SPIRES].
J. Kalkkinen, D. Martelli and W. Mueck, Holographic renormalisation and anomalies, JHEP 04 (2001) 036 [hep-th/0103111] [SPIRES].
D. Martelli and W. Mueck, Holographic renormalization and Ward identities with the Hamilton-Jacobi method, Nucl. Phys. B 654 (2003) 248 [hep-th/0205061] [SPIRES].
M. Bianchi and A. Marchetti, Holographic three-point functions: one step beyond the tradition, Nucl. Phys. B 686 (2004) 261 [hep-th/0302019] [SPIRES].
M. Bianchi, M. Prisco and W. Mueck, New results on holographic three-point functions, JHEP 11 (2003) 052 [hep-th/0310129] [SPIRES].
W. Mueck and M. Prisco, Glueball scattering amplitudes from holography, JHEP 04 (2004) 037 [hep-th/0402068] [SPIRES].
I. Papadimitriou and K. Skenderis, Correlation functions in holographic RG flows, JHEP 10 (2004) 075 [hep-th/0407071] [SPIRES].
J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals - A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [SPIRES].
E. Kiritsis, Dissecting the string theory dual of QCD, Fortsch. Phys. 57 (2009) 396 [arXiv:0901.1772] [SPIRES].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data, Nucl. Phys. B 820 (2009) 148 [arXiv:0903.2859] [SPIRES].
W. de Paula, T. Frederico, H. Forkel and M. Beyer, Dynamical AdS/QCD with area-law confinement and linearRegge trajectories, Phys. Rev. D 79 (2009) 075019 [arXiv:0806.3830] [SPIRES].
W. de Paula and T. Frederico, Unifying Scalars and Light Mesons by Holographic QCD, arXiv:0908.4282 [SPIRES].
I.R. Klebanov, P. Ouyang and E. Witten, A gravity dual of the chiral anomaly, Phys. Rev. D 65 (2002) 105007 [hep-th/0202056] [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. Csáki, M. Reece and J. Terning, The AdS/QCD Correspondence: Still Undelivered, JHEP 05 (2009) 067 [arXiv:0811.3001] [SPIRES].
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Bianchi, M., de Paula, W. On exact symmetries and massless vectors in holographic flows and other flux vacua. J. High Energ. Phys. 2010, 113 (2010). https://doi.org/10.1007/JHEP04(2010)113
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DOI: https://doi.org/10.1007/JHEP04(2010)113