27 research outputs found
Two – Dimensional Quantum (4,4) Null Superstring in de Sitter Space
The (4,4) null superstring equations of motions and constraints on de Sitter space are given by using the harmonic superspace. These are solved explicitly by performing a perturbative expansion of the (4,4) superstring coordinates in powers of c2 , the world-sheet speed of light. The analytic expressions of the zeroth and first order solutions are determined. On the other hand, we study the quantization of the (4,4) null superstring in de Sitter space and we describe its superalgebra
Supersymmetric Quantum Corrections and Poisson-Lie T-Duality
The quantum actions of the (4,4) supersymmetric non-linear sigma model and
its dual in the Abelian case are constructed by using the background superfield
method. The propagators of the quantum superfield and its dual and the gauge
fixing actions of the original and dual (4,4) supersymmetric sigma models are
determined. On the other hand, the BRST transformations are used to obtain the
quantum dual action of the (4,4) supersymmetric non-linear sigma model in the
sense of Poisson-Lie T-dualityComment: 18 page
Fractional Supersymmetry As a Matrix Model
Using parafermionic field theoretical methods, the fundamentals of 2d
fractional supersymmetry are set up. Known difficulties
induced by methods based on the quantum group representations
and non commutative geometry are overpassed in the parafermionic approach.
Moreover we find that fractional supersymmetric algebras are naturally realized
as matrix models. The K=3 case is studied in details. Links between 2d
and fractional supersymmetries and N=2
U(1) and N=4 su(2) standard supersymmetries respectively are exhibited. Field
theoretical models describing the self couplings of the matter multiplets
and are given.Comment: Latex,no figure,17page