Abstract Let be a field of formal Laurent series with coefficients in finite characteristic $p$?> , G_{ the maximal quotient Galois group period and nilpotency class $ $\{\mathscr G_{ filtration by ramification subgroups upper numbering. G_{ identification nilpotent Artin-Schreier theory: here $G(\mathscr is obta...

Non commutative superspaces can be introduced as the MoyalWeyl quantization of a Poisson bracket for classical superfields. Different deformations are studied corresponding to constant background fields in string theory. Supersymmetric and non supersymmetric deformations can be defined, depending on the differential operators used to define the Poisson bracket. Some examples of deformed, 4 dime...

Abstract: We apply Kadanoff’s theory of marginal deformations of conformal field theories to twistfield deformations of Z2 orbifold models in K3 moduli space. These deformations lead away from the Z2 orbifold sub-moduli-space and hence help to explore conformal field theories which have not yet been understood. In particular, we calculate the deformation of the conformal dimensions of vertex op...

Due to its large number of symmetries the Schwarzschild Black Hole can be described by a specific two-dimensional dilaton gravity model. After reviewing classical, semi-classical and quantum properties and a brief discussion of virtual black holes deformations are studied: the first part is devoted to deformations of the Lorentz-symmetry, the second part to dynamical deformations and its role f...

We construct all possible noncommutative deformations of a Kleinian singularity C 2/Γ of type Dn in terms of generators and relations, and solve the problem of when two deformations are isomorphic. We prove that all isomorphisms arise naturally from the action of the normalizer NSL(2)(Γ) on C/Γ. We deduce that the moduli space of isomorphism classes of noncommutative deformations in type Dn is ...

SL(2,Z) duality transformations in asymptotically AdS4 x S7 act nontrivially on the three-dimensional superconformal field theory of coincident M2-branes on the boundary. We show how S-duality acts away from the IR fixed point.We develop a systematic method to holographically obtain the deformations of the boundary CFT and show how electric-magnetic duality relates different deformations. We an...

We show that the graded Frobenius formal deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of real-valued cohomology of its free loop space. This is a sequel to 9] in which the author showed that the deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of the real-valued cohomo...

I discuss the relation of Hochschild cohomology to the physical states in the closed topological string. This allows a notion of deformation intrinsic to the derived category. I use this to identify deformations of a quiver gauge theory associated to a D-branes at a singularity with generalized deformations of the geometry of the resolution of the singularity. An explicit map is given from nonc...

In the first section we recall some basic notions on Lie algebras. In a second time w e study the algebraic variety of complex n-dimensional Lie algebras. We present different notions of deformations : Gerstenhaber deformations, pertubations, valued deformations and we use these tools to study some properties of this variety. Finaly we introduce the concept of rigidity and we present some resul...

This paper discusses the problem of improving the realism of motion not from the joint point-ofview as for robots, but in relation to the deformations of human bodies during animation. Two methods for improving these deformations are described. The Joint-dependent Local Deformation (JLD) approach is convenient when there is no contact between the human being and the environment. A finite elemen...