9 papers
On the deformation quantization of affine algebraic varieties
R. Fioresi, M. A. Lledo, V. S. Varadarajan
We compute an explicit algebraic deformation quantization for an affine Poisson variety described by an ideal in a polynomial ring, and inheriting its Poisson structure from the am…
On the Covariant Quantization of Green-Schwarz Superstring and Brink--Schwarz Superparticle
M. Caicedo, M Lledo, A. Restuccia +1
The effective action for the Brink-Schwarz Superparticle is constructed in an infinite dimensional phase space using a gauge invariant formulation.
A review on deformation quantization of coadjoint orbits of semisimple Lie groups
R. Fioresi, M. A. Lledo
In this paper we make a review of the results obtained in previous works by the authors on deformation quantization of coadjoint orbits of semisimple Lie groups. We motivate the pr…
Deformation Quantization of Non Regular Orbits of Compact Lie Groups
M. A. Lledo
In this paper we construct a deformation quantization of the algebra of polynomials of an arbitrary (regular and non regular) coadjoint orbit of a compact semisimple Lie group. The…
On the Embedding of Space-Time Symmetries into Simple Superalgebras
R. D'Auria, S. Ferrara, M. A. Lledo
We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is n…
Supersymmetric Field Theories on Deformed Space-Time
M. A. Lledó
Field theories on "quantum" or deformed space-time are considered here. The Moyal-Weyl deformation breaks the Lorentz invariance of the theory, but one can still require invariance…