Results 41 to 50 of about 174,545 (215)

Differential cohomology and locally covariant quantum field theory [PDF]

, 2016
We study differential cohomology on categories of globally hyperbolic Lorentzian manifolds. The Lorentzian metric allows us to define a natural transformation whose kernel generalizes Maxwell's equations and fits into a restriction of the fundamental ...
Becker, Christian, Schenkel, Alexander, Szabo, Richard J.   +2 more
core   +3 more sources

Spatially isotropic homogeneous spacetimes

Journal of High Energy Physics, 2019
We classify simply-connected homogeneous (D +1)-dimensional spacetimes for kinematical and aristotelian Lie groups with D-dimensional space isotropy for all D ≥ 0.
José Figueroa-O’Farrill, Stefan Prohazka   +1 more
doaj   +1 more source

Towards (3+1) gravity through Drinfel'd doubles with cosmological constant

Physics Letters B, 2015
We present the generalisation to (3+1) dimensions of a quantum deformation of the (2+1) (Anti)-de Sitter and Poincaré Lie algebras that is compatible with the conditions imposed by the Chern–Simons formulation of (2+1) gravity.
Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo   +2 more
doaj   +1 more source

Geometry applications of irreducible representations of Lie Groups [PDF]

, 2010
In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Di Scala, Antonio Jose', Thomas Leistner, Thomas Neukichner   +2 more
core   +1 more source

Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
The purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna, Sheina, Kseniya Igorevna   +1 more
doaj   +1 more source

The isometry groups of Lorentzian three-dimensional unimodular simply connected Lie groups

Revista de la Unión Matemática Argentina, 2022
In this paper, the authors determine the full isometry groups of all three-dimensional unimodular Lie groups endowed with a left invariant Lorentzian metric. One of the consequences of their result is that, in some cases, the isometry group is bigger than the subgroup of automorphisms that preserve the metric.
Boucetta, Mohamed, Chakkar, Abdelmounaim
openaire   +1 more source

Supergravity vacua and lorentzian Lie groups

, 2003
We classify maximally supersymmetric backgrounds (vacua) of chiral (1,0) and (2,0) supergravities in six dimensions and, by reduction, also those of the minimal N=2 supergravity in five dimensions. Up to R-symmetry, the (2,0) vacua are in one-to-one correspondence with (1,0) vacua, and these in turn are locally isometric to Lie groups admitting a bi ...
Chamseddine, Ali, Figueroa-O'Farrill, José, Sabra, Wafic   +2 more
openaire   +2 more sources

Parallelisable Heterotic Backgrounds

, 2003
We classify the simply-connected supersymmetric parallelisable backgrounds of heterotic supergravity. They are all given by parallelised Lie groups admitting a bi-invariant lorentzian metric.
A. Medina, C.G. Callan Jr., D. Sadri, D.J. Gross, E. Inönü, E. Witten, G. Papadopoulos, H. Lawson, J. Figueroa-O'Farrill, J. Wolf, J. Wolf, J.M. Figueroa-O'Farrill, J.M. Figueroa-O'Farrill, José Figueroa-O'Farrill, M. Blau, M. Blau, M. Cahen, M. Cahen, R. Bryant, R. Khuri, R. Penrose, S. Stanciu, Satoshi Yamaguchi, T. Leistner, Teruhiko Kawano, É. Cartan, É. Cartan   +26 more
core   +1 more source

Affine Algebraic Ricci Solitons Associated to the Yano Connections on Three-Dimensional Lorentzian Lie Groups

Journal of Nonlinear Mathematical Physics
In this paper, we compute curvatures of Yano connections on three-dimensional Lorentzian Lie groups with some product structure. We define affine algebraic Ricci solitons associated to Yano connections and classify left-invariant affine algebraic Ricci ...
S. Azami
semanticscholar   +1 more source

Penrose limits of Lie Branes and a Nappi--Witten braneworld

, 2003
Departing from the observation that the Penrose limit of AdS_3 x S^3 is a group contraction in the sense of Inonu and Wigner, we explore the relation between the symmetric D-branes of AdS_3 x S^3 and those of its Penrose limit, a six-dimensional ...
A. Kumar, A. Medina, A.Y. Alekseev, C. Bachas, C.R. Nappi, D. Berenstein, D.I. Olive, E. Inönü, G. Felder, H. Singh, J. Figueroa-O'Farrill, J. Gomis, J. Kowalski-Glikman, J.M. Figueroa-O'Farrill, J.M. Figueroa-O'Farrill, J.M. Figueroa-O'Farrill, José Figueroa-O'Farrill, M. Alishahiha, M. Blau, M. Blau, M. Blau, M. Cahen, R. Güven, R. Penrose, R.R. Nayak, S. Stanciu, S. Stanciu, Sonia Stanciu   +27 more
core   +1 more source