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C. N. Yang a současná matematika

Dianzhou Zhang (1994)

Pokroky matematiky, fyziky a astronomie

Central extensions and stochastic processes associated with the Lie algebra of the renormalized higher powers of white noise

Luigi Accardi, Andreas Boukas (2010)

Banach Center Publications

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 $3 / 2$ et relativité générale

Jean-Philippe Nicolas (1998/1999)

Séminaire Équations aux dérivées partielles

Characterization of the extremal rays of the cones of positive elements in tensor algebras

Hofmann, Gerald (1982)

Proceedings of the 10th Winter School on Abstract Analysis

Charged fields, Higgs phenomenon and confinement. Lesson from soluble models

G. Morchio (1996)

Annales de l'I.H.P. Physique théorique

Charges in gauge theories.

McMullan, David (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Chern-Simons terms as an example of the relations between mathematics and physics

Stanley Deser (1998)

Publications Mathématiques de l'IHÉS

Classical limit of a quantum particle in an external Yang-Mills field

Ugo Moschella (1989)

Annales de l'I.H.P. Physique théorique

Classical particle limit of non-relativistic quantum mechanics

Roberto Zucchini (1984)

Annales de l'I.H.P. Physique théorique

Classical wave operators and asymptotic quantum field operators on curved space-times

J. Dimock, Bernard S. Kay (1982)

Annales de l'I.H.P. Physique théorique

Cocalibrated $G_{2}$ -manifolds with Ricci flat characteristic connection

Thomas Friedrich (2013)

Communications in Mathematics

Any 7-dimensional cocalibrated $G_{2}$ -manifold admits a unique connection $\nabla$ with skew symmetric torsion (see [8]). We study these manifolds under the additional condition that the $\nabla$ -Ricci tensor vanish. In particular we describe their geometry in case of a maximal number of $\nabla$ -parallel vector fields.

Cohomologie quantique

Michèle Audin (1995/1996)

Séminaire Bourbaki

Cohomology of the Yang-Mills gauge orbit space and dimensional reduction

M. Asorey, P. K. Mitter (1986)

Annales de l'I.H.P. Physique théorique

Comment choisir une connexion au hasard ?

Thierry Lévy (2002/2003)

Séminaire de théorie spectrale et géométrie

Comments on the Links Between $s u (3)$ Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards

M. Bauer, A. Coste, C. Itzykson, P. Ruelle (1997)

Recherche Coopérative sur Programme n°25

Complex cobordism ring and conformal field theory over Z.

Toshiyuki Katsura, Yuji Shimizu (1991)

Mathematische Annalen

Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents

Fanghua Lin, Tristan Rivière (1999)

Journal of the European Mathematical Society

There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a $S^{1}$ -valued function defined on the boundary of a bounded regular domain of $R^{n}$ . 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

Stephen J. Summers, Eyvind H. Wichmann (1987)

Annales de l'I.H.P. Physique théorique

Conformal blocks and cohomology in genus 0

Prakash Belkale, Swarnava Mukhopadhyay (2014)

Annales de l’institut Fourier

We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus $0$ for classical Lie algebras and $G_{2}$ .

Conformal blocks in the tensor product of vector representations and localization formulas

R. Rimányi, A. Varchenko (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

Using equivariant localization formulas we give a formula for conformal blocks at level one on the sphere as suitable polynomials.

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