Author
José Figueroa-O'Farrill
Other affiliations: Stony Brook University, International Institute of Minnesota, University of Valencia ...read more
Bio: José Figueroa-O'Farrill is an academic researcher from University of Edinburgh. The author has contributed to research in topics: Supergravity & Supersymmetry. The author has an hindex of 41, co-authored 203 publications receiving 7842 citations. Previous affiliations of José Figueroa-O'Farrill include Stony Brook University & International Institute of Minnesota.
Topics: Supergravity, Supersymmetry, Lie algebra, Superalgebra, Lie superalgebra
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the authors present a maximally supersymmetric IIB string background with a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous five-form flux.
Abstract: We present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous five-form flux. We give the explicit supergravity solution, compute the isometries, the 32 Killing spinors, and the symmetry superalgebra, and then discuss T-duality and the relation to M-theory.
822 citations
TL;DR: In this paper, it was shown that the maximally supersymmetric pp-wave of IIB superstring and M-theories can be obtained as a Penrose limit of the superstring AdS × S solutions.
Abstract: We show that the maximally supersymmetric pp-wave of IIB superstring and M-theories can be obtained as a Penrose limit of the supersymmetric AdS × S solutions. In addition, we find that in a certain large tension limit, the geometry seen by a brane probe in an AdS × S background is either Minkowski space or a maximally supersymmetric pp-wave.
695 citations
TL;DR: For supergavrity solutions which are the product of an anti-de Sitter space with an Einstein space X, the relation between the amount of supersymmetry preserved and the geometry of X is studied in this article.
Abstract: For supergavrity solutions which are the product of an anti-de Sitter space with an Einstein space X, we study the relation between the amount of supersymmetry preserved and the geometry of X. Depending on the dimension and the amount of supersymmetry, the following geometries for X are possible, in addition to the maximally supersymmetric spherical geometry: Einstein-Sasaki in dimension 2k+1, 3-Sasaki in dimension 4k+3, 7-dimensional manifolds of weak G_2 holonomy and 6-dimensional nearly Kaehler manifolds. Many new examples of such manifolds are presented which are not homogeneous and have escaped earlier classification efforts. String or M theory in these vacua are conjectured to be dual to superconformal field theories. The brane solutions interpolating between these anti-de Sitter near-horizon geometries and the product of Minkowski space with a cone over X lead to an interpretation of the dual superconformal field theory as the world-volume theory for branes at a conical singularity (cone branes). We propose a description of those field theories whose associated cones are obtained by (hyper-)Kaehler quotients.
398 citations
TL;DR: In this article, the authors investigated the Penrose limits of classical string and M-theory backgrounds and proved that the number of super-symmetries of a supergravity background never decreases in the limit.
Abstract: We investigate the Penrose limits of classical string and M-theory backgrounds. We prove that the number of (super)symmetries of a supergravity background never decreases in the limit. We classify all the possible Penrose limits of AdS ? S spacetimes and of supergravity brane solutions. We also present the Penrose limits of various other solutions: intersecting branes, supersymmetric black holes and strings in diverse dimensions, and cosmological models. We explore the Penrose limit of an isometrically embedded spacetime and find a generalization to spaces with more than one time. Finally, we show that the Penrose limit is a large tension limit for all branes including those with fields of Born?Infeld type.
393 citations
TL;DR: In this paper, the maximally supersymmetric solutions of the eleven and ten-dimensional supergravity theories were classified up to local isometry, and it was shown that the AdS solutions, the Hpp-waves and the flat space solutions exhaust them.
Abstract: We classify (up to local isometry) the maximally supersymmetric solutions of the eleven- and ten-dimensional supergravity theories. We find that the AdS solutions, the Hpp-waves and the flat space solutions exhaust them.
251 citations
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TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
5,610 citations
TL;DR: In this article, the authors show that the hierarchy of scales can be fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold, and give examples involving orientifold compactifications of type IIB string theory and F-theory compactifications on Calabi-Yau fourfolds.
Abstract: Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of type-IIB string theory and F-theory compactifications on Calabi-Yau fourfolds. In each case, the hierarchy of scales is fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining $\mathcal{N}=1$ supersymmetric gauge theory, and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.
2,548 citations
TL;DR: In this paper, the string spectrum in flat space and pp-waves arises from the large-N limit, at fixed g2YM, of U(N) = 4 super Yang Mills.
Abstract: We explain how the string spectrum in flat space and pp-waves arises from the large-N limit, at fixed g2YM, of U(N) = 4 super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams. We also discuss some other aspects of pp-waves and we present a matrix model associated to the DLCQ description of the maximally supersymmetric eleven dimensional pp-waves.
2,181 citations
14 Nov 2002
TL;DR: In this article, the string spectrum in flat space and pp-waves arises from the large N limit, at fixed gYM2, of U(N) N = 4 super Yang Mills.
Abstract: We explain how the string spectrum in flat space and pp‐waves arises from the large N limit, at fixed gYM2, of U(N) N = 4 super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams.
1,851 citations