Toni Mateos

AdS spacetimes from wrapped M5 branes

We derive a complete geometrical characterisation of a large class of AdS3, AdS4 and AdS5 supersymmetric spacetimes in eleven-dimensional supergravity using G-structures. These are obtained as special cases of a class of supersymmetric 1,1, 1,2 and 1,3 geometries, naturally associated to M5-branes wrapping calibrated cycles in manifolds with G2, SU(3) or SU(2) holonomy. Specifically, the latter class is defined by requiring that the Killing spinors satisfy the same set of projection conditions as for wrapped probe branes, and that there is no electric flux. We show how the R-symmetries of the dual field theories appear as isometries of the general AdS geometries. We also show how known solutions previously constructed in gauged supergravity satisfy our more general G-structure conditions, demonstrate that our conditions for half-BPS AdS5 geometries are precisely those of Lin, Lunin and Maldacena, and construct some new singular solutions.

Marginal deformations of field theories with AdS4 duals

We generate new AdS4 solutions of D = 11 supergravity starting from AdS4 × X7 solutions where X7 has U(1)3 isometry. We consider examples where X7 is weak G2, Sasaki-Einstein or tri-Sasakian, corresponding to d = 3 SCFTs with = 1,2 or 3 supersymmetry, respectively, and where the deformed solutions preserve = 1,2 or 1 supersymmetry, respectively. For the special cases when X7 is M(3,2), Q(1,1,1) or N(1,1)I we identify the exactly marginal deformation in the dual field theory. We also show that the volume of supersymmetric 5-cycles of N(1,1)I agrees with the conformal dimension predicted by the baryons of the dual field theory.

Marginal deformations of Script N=4 SYM and Penrose limits with continuous spectrum

We study the Penrose limit about a null geodesic with 3 equal angular momenta in the recently obtained type IIB solution dual to an exactly marginal γ-deformation of = 4 SYM. The resulting background has non-trivial NS 3-form flux as well as RR 5- and 3-form fluxes. We quantise the light-cone Green-Schwarz action and show that it exhibits a continuum spectrum. We show that this is related to the dynamics of a charged particle moving in a Landau plane with an extra interaction induced by the deformation. We interpret the results in the dual = 1 SCFT.

New supersymmetric AdS3 solutions

We construct infinite new classes of supersymmetric solutions of D=11 supergravity that are warped products of AdS{sub 3} with an eight-dimensional manifold M{sub 8} and have nonvanishing four-form flux. In order to be compact, M{sub 8} is constructed as an S{sup 2} bundle over a six-dimensional manifold B{sub 6} which is either Kaehler-Einstein or a product of Kaehler-Einstein spaces. In the special cases that B{sub 6} contains a two-torus, we also obtain new AdS{sub 3} solutions of type IIB supergravity, with constant dilaton and only five-form flux. Via the anti-de Sitter (AdS)-conformal field theory (CFT) correspondence the solutions with compact M{sub 8} will be dual to two-dimensional conformal field theories with N=(0,2) supersymmetry. Our construction can also describe noncompact geometries and we discuss examples in type IIB which are dual to four-dimensional N=1 superconformal theories coupled to stringlike defects.

Gauge and BRST generators for space-time non-commutative U(1) theory

The Hamiltonian (gauge) symmetry generators of non-local (gauge) theories are presented. The construction is based on the d+1 dimensional space-time formulation of d dimensional non-local theories. The procedure is applied to U(1) space-time non-commutative gauge theory. In the Hamiltonian formalism the Hamiltonian and the gauge generator are constructed. The nilpotent BRST charge is also obtained. The Seiberg-Witten map between non-commutative and commutative theories is described by a canonical transformation in the superphase space and in the eldantield space. The solutions of classical master equations for non-commutative and commutative theories are related by a canonical transformation in the antibracket sense.

Supergravity dual of noncommutative SYM

Abstract We construct the noncommutative deformation of the Maldacena–Nunez supergravity solution. The background describes a bound state of D5–D3 branes wrapping an S 2 inside a Calabi–Yau three-fold, and in the presence of a magnetic B -field. The dual field theory in the IR is an N =1 U ( N ) SYM theory with spatial noncommutativity. We show that, under certain conditions, the massive Kaluza–Klein states can be decoupled and that UV/IR mixing seems to be visible in our solution. By calculating the quark–antiquark potential via the Wilson loop we show confinement in the IR and strong repulsion at closer distances. We also compute the β -function and show that it coincides with the recently calculated commutative one.

Supersymmetric 3D Anti-de Sitter Space Solutions of Type IIB Supergravity

For every positively curved Kähler-Einstein manifold in four dimensions, we construct an infinite family of supersymmetric solutions of type IIB supergravity. The solutions are warped products of AdS3 with a compact seven-dimensional manifold and have nonvanishing five-form flux. Via the anti-de Sitter/conformal field theory correspondence, the solutions are dual to two-dimensional conformal field theories with (0,2) supersymmetry. The corresponding central charges are rational numbers.

Supersymmetric AdS_3 solutions of type IIB supergravity

For every positively curved Kähler-Einstein manifold in four dimensions, we construct an infinite family of supersymmetric solutions of type IIB supergravity. The solutions are warped products of AdS3 with a compact seven-dimensional manifold and have nonvanishing five-form flux. Via the anti-de Sitter/conformal field theory correspondence, the solutions are dual to two-dimensional conformal field theories with (0,2) supersymmetry. The corresponding central charges are rational numbers.

MORE ON SUPERSYMMETRIC TENSIONLESS ROTATING STRINGS IN AdS5 × S5

Rotating IIB strings in AdS_5 x S^5 become ultra-relativistic, and hence effectively tensionless, in the limit of large angular momentum on S^5. We have shown previously that such tensionless strings may preserve supersymmetry. Here we extend this result to include a class of supersymmetric tensionless strings with arbitrary SO(6) angular momentum. We close with some general comments on tensionless strings in AdS_5 x S^5.

Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry

We construct the supergravity solution in 11 dimensions describing D6-branes wrapped around a Kahler four-cycle with a B-fleld along the ∞at directions of the brane. The conflguration is dual to anN = 2 non-commutative gauge theory in 2+1 dimensions. We also construct the four associated independent Killing spinors. The phenomenon of supersymmetry without supersymmetry appears naturally when compactifying to type-IIA or 8d gauged supergravity. Therefore, this solution also provides an 11d background with four supercharges and four-form ∞ux, which is not obtainable from 8d gauged supergravity.