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Autor Hernández Redondo, Rafael |
Documentos disponibles escritos por este autor (36)
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We develop a systematic approach to G_(2) holonomy manifolds with an SU(2) × SU(2) isometry using maximal eight-dimensional gauged supergravity to describe D6-branes wrapped on deformed three-spheres. A quite general metric ansatz that generaliz[...]![]()
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Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed. This is done by rewriting the gluing condition J(+) = FJ(-) for the model chiral currents on the brane as a well posed first order differential problem [...]![]()
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We obtain a supergravity solution arising when D6-branes are wrapped on coassociative four-cycles of constant curvature in seven manifolds of G_(2) holonomy. The solutions preserve two supercharges and thus represent supergravity duals of three [...]![]()
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We consider non-perturbative effects in M-theory compactifications on a seven-manifold of G_(2) holonomy arising from membranes wrapped on supersymmetric three-cycles. When membranes are wrapped on associative submanifolds they induce a superpot[...]![]()
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Beisert, Niklas ; Hernández Redondo, Rafael ; López, Esperanza | Int School Advanced Studies | 2006-11We propose an all-order perturbative expression for the dressing phase of the AdS_(5) x S^(5) string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This allows us to start the investigation of the an[...]![]()
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We study the reduction of classical strings rotating in the deformed three- sphere truncation of the double Yang-Baxter deformation of theAdS(3)xS(3)xT(4)background to an integrable mechanical model. The use of the generalized spinning-string an[...]![]()
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Closed strings spinning in AdS_3 x S^3 x T^4 with mixed Ramond-Ramond and Neveu-Schwarz-NeveuSchwarz three-form fluxes are described by a deformation of the one-dimensional Neumann-Rosochatius integrable system. In this articlewe find general so[...]![]()
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Hernández Redondo, Rafael ; López, Esperanza ; Periáñez, África ; Sierra, Germán | Int School Advanced Studies | 2005-06N = 4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS5 × S 5 . The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the thermod[...]![]()
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We obtain the spectrum of glueball masses for the N = 1 non-conformal cascade theory whose supergravity dual was recently constructed by Klebanov and Strassler. The glueball masses are calculated by solving the supergravity equations of motion f[...]![]()
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Hernández Redondo, Rafael ; Sfetsos, Konstadinos ; Zoakos, Dimitrios | Int School Advanced Studies | 2006-03Supergravity backgrounds dual to a class of exactly marginal deformations of N = 4 supersymmetric Yang–Mills can be constructed through an SL(2, R) sequence of T-dualities and coordinate shifts. We apply this transformation to multicenter soluti[...]![]()
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We consider the ratio of the correlation function of a hexagon light-like Wilson loop with one local operator over the expectation value of the Wilson loop within the strong-coupling regime of the AdS/CFT correspondence. We choose the hexagon Wi[...]![]()
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Compactifications of M-theory on manifolds with reduced holonomy arise as the local eleven-dimensional description of D6-branes wrapped on supersymmetric cycles in manifolds of lower dimension with a different holonomy group. Whenever the isomet[...]![]()
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We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS5 × S5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the weak-coupl[...]![]()
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Global geometry of K3-fibration Calabi-Yau threefolds, with Hodge number h_(2,1) = r+1, is used to define N =4 softly broken SU(r+1) gauge theories, with the bare coupling constant given by the dual heterotic dilaton, and the mass of the adjoint[...]![]()
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We analize instanton generated superpotentials for three dimensional N = 2 supersymmetric gauge theories obtained by compactifying on S^(1) N = 1 four dimensional theories. For SU(2) with N_(f) = 1, we find that the vacua in the decompactificati[...]![]()
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We study the decompactification limit of M-theory superpotentials for N = 1 four dimensional supersymmetric gauge theories. These superpotentials can be interpreted as generated by toron configurations. The connection with the confinement pictur[...]![]()
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Hernández Redondo, Rafael ; Nieto García, Juan Miguel ; Ruiz Gil, Roberto | American Physical Society | 2019-04-05We study minimal area world sheets ending on two concentric circumferences on the boundary of Euclidean AdS_3 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz (NS-NS) three-form fluxes. We solve the problem by reducing the system to a on[...]![]()
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Circular strings pulsating in AdS_(3) × S^(3) × T^(4) with mixed R–R and NS–NS three-form fluxes can be described by an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical model. In this article we find a general class o[...]![]()
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Hernández Redondo, Rafael ; Miguel Nieto, Juan ; Ruiz Gil, Roberto | American Physical Society | 2020-01-27We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean AdS(3) x S-3 x T-4. We reduce the problem to the computation of a set of funct[...]![]()
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One-loop corrections to the energy of semiclassical rotating strings contain both analytic and non-analytic terms in the ’t Hooft coupling. Analytic contributions agree with the prediction from the string Bethe ansatz based on the classical S-ma[...]![]()
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The dispersion relation for planar N = 4 supersymmetric Yang-Mills is identified with the Casimir of a quantum deformed two-dimensional kinematical symmetry, Eq(1, 1). The quantum deformed symmetry algebra is generated by the momentum, energy an[...]![]()
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The action of the S-duality Sl(2,Z) group on the moduli of the Calabi-Yau manifold WIP^(12)_(11226) appearing in the rank two dual pair (K3 × T 2/WIP^(12)_(11226)) is defined by interpreting the N = 4 to N = 2 flow, for SU(2) supersymmetric Yang[...]![]()
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We analyze correlation functions of Wilson loop observables and local vertex operators within the strongcoupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved charges the [...]![]()
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The complete one-loop planar dilatation operator of N = 4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2 , 2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the[...]![]()
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The sigma model describing closed strings rotating in AdS_(3) × S^(3) is known to reduce to the onedimensional Neumann–Rosochatius integrable system. In this article we show that closed spinning strings in AdS_(3) × S^(3) × T^(4) in the presence[...]![]()
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The sigma model describing closed strings rotating in AdS_(3) × S^(3) is known to reduce to the one-dimensional Neumann–Rosochatius integrable system. In this article we show that closed spinning strings in AdS_(3) × S^(3) × T ^(4) in the presen[...]![]()
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The sigma model of closed strings spinning in the ? deformation of AdS_(5) × S^(5) leads to an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical system. In this article we construct general solutions to this system tha[...]![]()
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We explicitly construct a solution of eight-dimensional gauged supergravity representing D6-branes wrapped on six-cycles inside Calabi–Yau fourfolds. The solution preserves two supercharges and asymptotically is a cone with the coset space SU(2)[...]![]()
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Hernández Redondo, Rafael ; Sfetsos, Konstadinos ; Zoakos, Dimitrios | Int School Advanced Studies | 2004-09We present a systematic method for constructing manifolds with Lorentzian holonomy group that are non-static supersymmetric vacua admitting covariantly constant light-like spinors. It is based on the metric of their Riemannian counterparts and t[...]![]()
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The scattering-matrix for planar Yang-Mills with N = 4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory. In this note we define a map from the spectral variables x ±, parameterizing the long-ra[...]![]()
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The planar dilatation operator of N = 4 supersymmetric Yang-Mills is the hamiltonian of an integrable spin chain whose length is allowed to fluctuate. We will identify the dynamics of length fluctuations of planar N = 4 Yang-Mills with the exist[...]![]()
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Classical strings propagating in AdS(3) x S-3 x T-4 supported with Neveu-Schwarz-Neveu-Schwarz flux are described by a Wess-Zumino-Witten model. In this note, we study the emergence of their semiclassical SU(2) spectrally flowed sectors as the L[...]![]()
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The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N = 4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the cont[...]![]()
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The strong-coupling limit of three-point correlation functions of local operators can be analyzed beyond the supergravity regime using vertex operators representing spinning string states. When two of the vertex operators correspond to heavy str[...]![]()
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Three-point correlation functions in the strong-coupling regime of the AdS/CFT correspondence can be analyzed within a semiclassical approximation when two of the vertex operators correspond to heavy string states having large quantum numbers wh[...]![]()
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We study the quark-antiquark interaction in the large N limit of the superconformal field theory on D-3branes at a Calabi-Yau conical singularity. We compute the Wilson loop in the AdS_(5) × T^(11) supergravity background for the SU(2 N ) × SU(2[...]