Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Bueno, J. C. Perez"'
Publikováno v:
Nucl.Phys.B567:293-330,2000
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 way how superspace groups and algebras arise from Grassmann spinors when
Externí odkaz:
http://arxiv.org/abs/hep-th/9904137
Publikováno v:
Phys. Rev. D 59, 084015 (1999)
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) charge being the superparticle's angular momentum. The {\it non-manifest
Externí odkaz:
http://arxiv.org/abs/hep-th/9810230
Publikováno v:
J.Math.Phys. 40 (1999) 6009-6032
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 corresponding supersymmetry algebra $\Sigma$ is analysed. These operators ac
Externí odkaz:
http://arxiv.org/abs/hep-th/9810212
Autor:
Bueno, J. C. Perez
Publikováno v:
J.Phys.A31:6505-6516,1998
It is shown that the family of deformed algebras ${\cal U}_\lambda(iso_{\omega_2... \omega_N}(N))$ has a different bicrossproduct structure for each $\omega_a=0$ in analogy to the undeformed case.
Comment: Latex2e file. 14 pages
Comment: Latex2e file. 14 pages
Externí odkaz:
http://arxiv.org/abs/math/9804084
Publikováno v:
Rev.R.Acad.Cien.Exactas Fis.Nat.Ser.A Mat.95:225-248,2001
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. Elementary differential geometry on Lie groups 3. Lie algebra cohomology: a b
Externí odkaz:
http://arxiv.org/abs/physics/9803046
Publikováno v:
Nucl.Phys. B534 (1998) 653-674
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 G if we may construct from the form a cocycle for the relative Lie alg
Externí odkaz:
http://arxiv.org/abs/hep-th/9802192
Publikováno v:
J.Phys.A31:5327-5347,1998
The most general possible central extensions of two whole families of Lie algebras, which can be obtained by contracting the special pseudo-unitary algebras su(p,q) of the Cartan series A_l and the pseudo-unitary algebras u(p,q), are completely deter
Externí odkaz:
http://arxiv.org/abs/physics/9801008
Publikováno v:
Phys.Lett. B419 (1998) 186-194
The explicit expression of all the WZW effective actions for a simple group G broken down to a subgroup H is established in a simple and direct way, and the formal similarity of these actions to the Chern-Simons forms is explained. Applications are a
Externí odkaz:
http://arxiv.org/abs/hep-th/9711064
Autor:
Bueno, J. C. Perez
Publikováno v:
J.Phys.A30:6509-6515,1997
Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, t
Externí odkaz:
http://arxiv.org/abs/hep-th/9707032
Publikováno v:
Nucl.Phys. B510 (1998) 657-687
The forms of the invariant primitive tensors for the simple Lie algebras A_l, B_l, C_l and D_l are investigated. A new family of symmetric invariant tensors is introduced using the non-trivial cocycles for the Lie algebra cohomology. For the A_l alge
Externí odkaz:
http://arxiv.org/abs/physics/9706006