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Spacetime Dimensions (spacetime + dimension)

Distribution by Scientific Domains
Physics and Astronomy83%

Selected Abstracts

Is N = 8 supergravity a finite field theory?

FORTSCHRITTE DER PHYSIK/PROGRESS OF PHYSICS, Issue 5-7 2009
Article first published online: 21 APR 200, K.S. Stelle
Abstract Advances in calculational technique permit the study of ultraviolet structure in maximal super Yang-Mills and maximal supergravity theories at heretofore unattainable loop orders. Hints from string theory suggest that maximal supergravity might have a similar ultraviolet behavior in D = 4 spacetime dimensions as maximal super Yang-Mills theory and so be ultraviolet convergent. Yet what is known of field theoretic nonrenormalization theorems suggests only that -BPS counterterms are excluded. A key test of the relative finiteness properties of the two theories will be the ultraviolet divergences in D = 5 maximal supergravity at the four-loop level. [source]

On the consistent interactions in D = 11 among a graviton, a massless gravitino and a three-form

FORTSCHRITTE DER PHYSIK/PROGRESS OF PHYSICS, Issue 5-7 2009
E.M. Cioroianu
Abstract The couplings that can be introduced between a massless Rarita-Schwinger field, a Pauli-Fierz field and an Abelian three-form gauge field in eleven spacetime dimensions are analyzed in the context of the deformation of the solution of the master equation. [source]

Gauged supergravities in various spacetime dimensions,

FORTSCHRITTE DER PHYSIK/PROGRESS OF PHYSICS, Issue 8 2007
M. Weidner
Abstract In this review article we study the gaugings of extended supergravity theories in various space-time dimensions. These theories describe the low-energy limit of non-trivial string compactifications. For each theory under consideration we review all possible gaugings that are compatible with supersymmetry. They are parameterized by the so-called embedding tensor which is a group theoretical object that has to satisfy certain representation constraints. This embedding tensor determines all couplings in the gauged theory that are necessary to preserve gauge invariance and supersymmetry. The concept of the embedding tensor and the general structure of the gauged supergravities are explained in detail. The methods are then applied to the half-maximal (N = 4) supergravities in d = 4 and d = 5 and to the maximal supergravities in d = 2 and d = 7. Examples of particular gaugings are given. Whenever possible, the higher-dimensional origin of these theories is identified and it is shown how the compactification parameters like fluxes and torsion are contained in the embedding tensor. [source]

Gauge/string duality in confining theories

FORTSCHRITTE DER PHYSIK/PROGRESS OF PHYSICS, Issue 7 2006
J.D. Edelstein
Abstract This is the content of a set of lectures given at the "XIII Jorge André Swieca Summer School on Particles and Fields", Campos do Jordão, Brazil in January 2005. They intend to be a basic introduction to the topic of gauge/gravity duality in confining theories. We start by reviewing some key aspects of the low energy physics of non-Abelian gauge theories. Then, we present the basics of the AdS/CFT correspondence and its extension both to gauge theories in different spacetime dimensions with sixteen supercharges and to more realistic situations with less supersymmetry. We discuss the different options of interest: placing D,branes at singularities and wrapping D,branes in calibrated cycles of special holonomy manifolds. We finally present an outline of a number of non-perturbative phenomena in non-Abelian gauge theories as seen from supergravity. [source]

Four-dimensional couplings among BF and matter theories from BRST cohomology

ANNALEN DER PHYSIK, Issue 9 2003
C. Bizdadea
Abstract The local and manifestly covariant Lagrangian interactions in four spacetime dimensions that can be added to a "free" model that describes a generic matter theory and an abelian BF theory are constructed by means of deforming the solution to the master equation on behalf of specific cohomological techniques. [source]

Semiclassical determination of exponentially small intermode transitions for 1 + 1 spacetime scattering systems,

COMMUNICATIONS ON PURE & APPLIED MATHEMATICS, Issue 8 2007
Alain Joye
We consider the semiclassical limit of systems of autonomous PDEs in 1 + 1 spacetime dimensions in a scattering regime. We assume the matrix-valued coefficients are analytic in the space variable, and we further suppose that the corresponding dispersion relation admits real-valued modes only with one-dimensional polarization subspaces. Hence a BKW-type analysis of the solutions is possible. We typically consider time-dependent solutions to the PDE that are carried asymptotically in the past and as x , ,, along one mode only and determine the piece of the solution that is carried for x , +, along some other mode in the future. Because of the assumed nondegeneracy of the modes, such transitions between modes are exponentially small in the semiclassical parameter; this is an expression of the Landau-Zener mechanism. We completely elucidate the spacetime properties of the leading term of this exponentially small wave, when the semiclassical parameter is small, for large values of x and t, when some avoided crossing of finite width takes place between the involved modes. © 2006 Wiley Periodicals, Inc. [source]