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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]
