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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.

Conformal field theory

Krzysztof Gawędzki (1988/1989)

Séminaire Bourbaki

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

Salmhofer, M., Wieczerkowski, Chr. (2000)

Mathematical Physics Electronic Journal [electronic only]

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

A. Varchenko (1995)

Compositio Mathematica

Dimensional reduction of conformal tensors and Einstein-Weyl spaces.

Jackiw, Roman (2007)

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

Divisibility of the Dirac magnetic monopole as a two-vector bundle over the three-sphere.

Ausoni, Christian, Dundas, Bjørn Ian, Rognes, John (2008)

Documenta Mathematica

Elliptic cohomology

Graeme Segal (1987/1988)

Séminaire Bourbaki

Équations de Knizhnik-Zamolodchikov et théorie des représentations

Olivier Mathieu (1993/1994)

Séminaire Bourbaki

Examples of categorification

Louis Crane, David N. Yetter (1998)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Factorization constraints and boundary conditions in rational CFT

Carl Stigner (2011)

Banach Center Publications

Among (conformal) quantum field theories, the rational conformal field theories are singled out by the fact that their correlators can be constructed from a modular tensor category 𝓒 with a distinguished object, a symmetric special Frobenius algebra A in 𝓒, via the so-called TFT-construction. These correlators satisfy in particular all factorization constraints, which involve gluing homomorphisms relating correlators of world sheets of different topology. We review the action...

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