26 papers
The geometry of branes and extended superspaces
C. Chryssomalakos, J. A. de Azcárraga, J. M. Izquierdo +1
We argue that a description of supersymmetric extended objects from a unified geometric point of view requires an enlargement of superspace. To this aim we study in a systematic wa…
Superconformal mechanics, black holes, and non-linear realizations
J. A. de Azcarraga, J. M. Izquierdo, J. C. Perez Bueno +1
The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) ch…
Higher order BRST and anti-BRST operators and cohomology for compact Lie algebras
C. Chryssomalakos, J. A. de Azcarraga, A. J. Macfarlane +1
After defining cohomologically higher order BRST and anti-BRST operators for a compact simple algebra {\cal G}, the associated higher order Laplacians are introduced and the corres…
On the bicrossproduct structures for the family of algebras
J. C. Perez Bueno
It is shown that the family of deformed algebras has a different bicrossproduct structure for each in analogy to the undeformed case.
An introduction to some novel applications of Lie algebra cohomology and physics
J. A. de Azcarraga, J. M. Izquierdo, J. C. Perez Bueno
After a self-contained introduction to Lie algebra cohomology, we present some recent applications in mathematics and in physics. Contents: 1. Preliminaries: L_X, i_X, d 2. Element…
On the general structure of gauged Wess-Zumino-Witten terms
J. A. de Azcarraga, J. C. Perez Bueno
The problem of gauging a closed form is considered. When the target manifold is a simple Lie group G, it is seen that there is no obstruction to the gauging of a subgroup H\subset…