C. N. Yang a současná matematika
Central extensions and stochastic processes associated with the Lie algebra of the renormalized higher powers of white noise
In the first part of the paper we discuss possible definitions of Fock representation of the *-Lie algebra of the Renormalized Higher Powers of White Noise (RHPWN). We propose one definition that avoids the no-go theorems and we show that the vacuum distribution of the analogue of the field operator for the n-th renormalized power of WN defines a continuous binomial process. In the second part of the paper we present without proof our recent results on the central extensions of RHPWN, its subalgebras...
Champs de spin et relativité générale
Characterization of the extremal rays of the cones of positive elements in tensor algebras
Charged fields, Higgs phenomenon and confinement. Lesson from soluble models
Charges in gauge theories.
Chern-Simons terms as an example of the relations between mathematics and physics
Classical limit of a quantum particle in an external Yang-Mills field
Classical particle limit of non-relativistic quantum mechanics
Classical wave operators and asymptotic quantum field operators on curved space-times
Cocalibrated -manifolds with Ricci flat characteristic connection
Any 7-dimensional cocalibrated -manifold admits a unique connection with skew symmetric torsion (see [8]). We study these manifolds under the additional condition that the -Ricci tensor vanish. In particular we describe their geometry in case of a maximal number of -parallel vector fields.
Cohomologie quantique
Cohomology of the Yang-Mills gauge orbit space and dimensional reduction
Comment choisir une connexion au hasard ?
Comments on the Links Between Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards
Complex cobordism ring and conformal field theory over Z.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Concerning the condition of additivity in quantum field theory
Conformal blocks and cohomology in genus 0
We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus for classical Lie algebras and .
Conformal blocks in the tensor product of vector representations and localization formulas
Using equivariant localization formulas we give a formula for conformal blocks at level one on the sphere as suitable polynomials.