Jose F. Morales

Higher Spin Symmetry and N = 4 SYM

We assemble the spectrum of single-trace operators in free N = 4 SU(N) SYM theory into irreducible representations of the Higher Spin symmetry algebra hs(2,2|4). Higher Spin representations or YT-pletons are associated to Young tableaux (YT) corresponding to representations of the symmetric group compatible with the cyclicity of color traces. After turning on interactions gYM 6 0, YT-pletons decompose into infinite towers of representations of the superconformal algebra psu(2,2|4) and anomalous dimensions are generated. We work out the decompositions of tripletons with respect to the N = 4 superconformal algebra psu(2,2|4) and compute their anomalous dimensions to lowest non-trivial order in g 2 YMN at large N. We then focus on operators/states sitting in semishort multiplets of psu(2,2|4). By passing them through a semishort-sieve that removes superdescendants, we derive compact expressions for the partition function of semishort primaries.

Brane world effective actions for D-branes with fluxes

Abstract We develop systematic string techniques to study brane world effective actions for models with magnetized (or equivalently intersecting) D-branes. In particular, we derive the dependence on all NS–NS moduli of the kinetic terms of the chiral matter in a generic non-supersymmetric brane configurations with non-commuting open string fluxes. Near a N = 1 supersymmetric point the effective action is consistent with a Fayet–Iliopoulos supersymmetry breaking and the normalization of the scalar kinetic terms is nothing else than the Kahler metric. We also discuss, from a stringy perspective, D and F term breaking mechanisms, and how, in this generic set up, the Kahler metric enters in the physical Yukawa couplings.

Entropy function and attractors for AdS black holes

We apply Sens entropy formalism to the study of the near horizon geometry and the entropy of asymptotically AdS black holes in gauged supergravities. In particular, we consider non-supersymmetric electrically charged black holes with AdS2×S di2 horizons in U(1) 4 and U(1) 3 gauged supergravities in d = 4 and d = 5 dimensions, respectively. We study several cases including static/rotating, BPS and non-BPS black holes in Einstein as well as in Gauss-Bonnet gravity. In all examples, the near horizon geometry and black hole entropy are derived by extremizing the entropy function and are given entirely in terms of the gauge coupling, the electric charges and the angular momentum of the black hole.

Spin bit models from non-planar N = 4 SYM

Abstract We study spin models underlying the non-planar dynamics of N = 4 SYM gauge theory. In particular, we derive the non-local spin chain Hamiltonian corresponding to the generator of dilatations in the gauge theory at leading order in g YM 2 N but exact in 1 N . States in our spin chain-like model are characterized by a spin-configuration as well as by a linking variable which describes how sites are connected in the chains. Joining and splitting of string/traces is implemented by a twist operator acting on the linking variable. The obtained model is used for the systematic study of non-planar anomalous dimensions and operator mixing in N = 4 SYM. Beyond other, we identify a sequence of SYM operators for which corrections to the one-loop anomalous dimensions stop at the first 1 N non-planar order.

A special road to AdS vacua

We apply the techniques of special Kähler geometry to investigate AdS4 vacua of general

D1D5 microstate geometries from string amplitudes

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= 1 superpotentials from multi-instanton calculus

= 2 gauged supergravities underlying flux compactifications of type II theories. We formulate the scalar potential and its extremization conditions in terms of a triplet of prepotentials