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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...

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

Stanley Deser (1998)

Publications Mathématiques de l'IHÉS

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

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.

Displaying 1 – 9 of 9

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

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

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

Complex cobordism ring and conformal field theory over Z.

Conformal blocks and cohomology in genus 0

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

Conformal field theory

Construction of renormalized $G N_{2 - ϵ}$ trajectory.

Critical points of the product of powers of linear functions and families of bases of singular vectors

Currently displaying 1 – 9 of 9