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Short distance properties of cascading gauge theories
 JHEP
, 2006
"... We study the short distance (large momentum) properties of correlation functions of cascading gauge theories by performing a treelevel computation in their dual gravitational background. We prove that these theories are holographically renormalizable; the correlators have only analytic ultraviolet ..."
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We study the short distance (large momentum) properties of correlation functions of cascading gauge theories by performing a treelevel computation in their dual gravitational background. We prove that these theories are holographically renormalizable; the correlators have only analytic ultraviolet divergences, which may be removed by appropriate local counterterms. We find that npoint correlation functions of properly normalized operators have the expected scaling in the semiclassical gravity (large N) limit: they scale as N 2−n eff with Neff ∝ ln(k/Λ) where k is a typical momentum. Our analysis thus confirms the interpretation of the cascading gauge theories as renormalizable fourdimensional quantum field theories with an effective number of degrees of freedom which logarithmically increases with the energy. August 20061 Introduction and summary Cascading gauge theories were discovered in [1–3] (see [4, 5] for reviews) by looking
Gauge/String Duality in Confining Theories
, 2006
"... Preprint typeset in JHEP style. HYPER VERSION ..."
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Swansea SA2 8PP
, 709
"... United Kingdom. In this paper we make further refinements to the duality proposed between N = 1 SQCD and certain string (supergravity plus branes) backgrounds, working in the regime of comparable large number of colors and flavors. Using the string theory solutions, we predict different field theory ..."
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United Kingdom. In this paper we make further refinements to the duality proposed between N = 1 SQCD and certain string (supergravity plus branes) backgrounds, working in the regime of comparable large number of colors and flavors. Using the string theory solutions, we predict different field theory observables and phenomena like Seiberg duality, gauge coupling and its running, the behavior of Wilson and ’t Hooft loops, anomalous dimensions of the quark superfields, quartic superpotential coupling and its running, continuous and discrete anomaly matching. We also give evidence for the smooth interpolation between higgsed and confining vacua. We provide several matchings between field theory and string theory computations.
Iodd sector of the KlebanovStrassler theory
, 2008
"... The KlebanovStrassler background is invariant under the Z2 symmetry I, which acts by exchanging the bifundamental fields A and B, accompanied by the charge conjugation. We study the background perturbations in the Iodd sector and find an exhaustive list of bosonic states invariant under the Rsym ..."
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The KlebanovStrassler background is invariant under the Z2 symmetry I, which acts by exchanging the bifundamental fields A and B, accompanied by the charge conjugation. We study the background perturbations in the Iodd sector and find an exhaustive list of bosonic states invariant under the Rsymmetry SU(2) ×SU(2). In addition to the scalars identified in an earlier publication arXiv: 0712.4404 we find 7 families of massive states of spin 1. Together with the spin 0 states they form 3 families of massive vector multiplets and 2 families of massive gravitino multiplets, containing a vector, a pseudovector and fermions of spin 3/2 and 1/2. In the conformal KlebanovWitten case these Iodd particles belong to the N = 1 superconformal Vector Multiplet I and Gravitino Multiplets II and IV. The operators dual to the Iodd singlet sector include those without bifundamental fields making an interesting connection with the pure N = 1 SYM theory. We calculate the mass spectrum of the corresponding glueballs numerically and discuss possible applications of our results.
Imperial/TP/2010/JG/02 Lifshitz Solutions of D=10 and D=11 supergravity
"... We construct infinite families of Lifshitz solutions of D = 10 and D = 11 supergravity with dynamical exponent z = 2. The new solutions are based on five and sevendimensional Einstein manifolds and are dual to field theories with Lifshitz scaling in 1+2 and 1+1 spacetime dimensions, respectively. ..."
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We construct infinite families of Lifshitz solutions of D = 10 and D = 11 supergravity with dynamical exponent z = 2. The new solutions are based on five and sevendimensional Einstein manifolds and are dual to field theories with Lifshitz scaling in 1+2 and 1+1 spacetime dimensions, respectively. When the Einstein spaces are SasakiEinstein, the solutions are supersymmetric. ar X iv
BPS domain walls in N = 4 supergravity and dual flows
"... We establish the conditions for supersymmetric domain wall solutions to N = 4 gauged supergravity in five dimensions. These read as BPS firstorder equations for the warp factor and the scalar fields, driven by a superpotential and supplemented by a set of constraints that we specify in detail. The ..."
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We establish the conditions for supersymmetric domain wall solutions to N = 4 gauged supergravity in five dimensions. These read as BPS firstorder equations for the warp factor and the scalar fields, driven by a superpotential and supplemented by a set of constraints that we specify in detail. Then we apply our results to certain consistent truncations of IIB supergravity, thus exploring their dual field theory renormalization group flows. We find a universal flow deforming superconformal theories on D3branes at Calabi–Yau cones. Moreover, we obtain a superpotential for the solution corresponding to the baryonic branch of the Klebanov–Strassler theory, as well as the superpotential for the flow describing D3 and wrapped D5branes on the resolved conifold. ar X iv
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"... We discuss a simple transformation that allows to generate SU(3) structure solutions of Type IIB supergravity with RR fluxes, starting from nonKähler solutions of Type I supergravity. The method may be applied also in the presence of supersymmetric source branes. We apply this transformation to a ..."
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We discuss a simple transformation that allows to generate SU(3) structure solutions of Type IIB supergravity with RR fluxes, starting from nonKähler solutions of Type I supergravity. The method may be applied also in the presence of supersymmetric source branes. We apply this transformation to a solution describing fivebranes wrapped on the S2 of the resolved conifold with additional flavour fivebrane sources. The resulting solution is a generalisation of the resolved deformed conifold solution of Butti et al [1] by the addition of D5 brane and D3 brane sources. We propose that this solution may be interpreted in terms of a combined effect of Higgsing and cascade of Seiberg dualities in the dual field theory.
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"... Abstract: We study a set of examples of holographic duals to theories with spontaneous breaking of conformal invariance in different dimensions. The geometries are domain walls interpolating between two AdS spaces, with a nontrivial background scalar field dual to a relevant operator. We comment on ..."
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Abstract: We study a set of examples of holographic duals to theories with spontaneous breaking of conformal invariance in different dimensions. The geometries are domain walls interpolating between two AdS spaces, with a nontrivial background scalar field dual to a relevant operator. We comment on a subtlety in the low momentum expansion pointed out in [5] for the case of background gravity and revise the dynamical gravity results of [4], where the dilaton pole was missing in the scalarscalar and tensortensor twopoint functions. We compute the energymomentum tensor and scalar twopoint functions and show that there is indeed a massless dilaton pole.