Share This Author
A Path Integral Approach¶to the Kontsevich Quantization Formula
- A. Cattaneo, G. Felder
- Mathematics, Physics
- 15 February 1999
Abstract: We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path…
Elliptic quantum groups
- G. Felder
- Mathematics, Physics
- 22 December 1994
This note for the Proceedings of the International Congress of Mathematical Physics gives an account of a construction of an ``elliptic quantum group'' associated with each simple classical Lie…
The geometry of WZW branes
- G. Felder, J. Frohlich, J. Fuchs, C. Schweigert
- Mathematics
- 6 September 1999
Fock representations and BRST cohomology inSL(2) current algebra
- D. Bernard, G. Felder
- Mathematics
- 1990
We investigate the structure of the Fock modules overA1(1) introduced by Wakimoto. We show that irreducible highest weight modules arise as degree zero cohomology groups in a BRST-like complex of…
Poisson sigma models and symplectic groupoids
- A. Cattaneo, G. Felder
- Mathematics
- 3 March 2000
We consider the Poisson sigma model associated to a Poisson manifold. The perturbative quantization of this model yields the Kontsevich star product formula. We study here the classical model in the…
Conformal Field Theory and Integrable Systems Associated to Elliptic Curves
- G. Felder
- Mathematics
- 23 July 1994
It has become clear over the years that quantum groups (i.e., quasitriangular Hopf algebras, see [D]) and their semiclassical counterpart, Poisson Lie groups, are an essential algebraic structure…
Relative formality theorem and quantisation of coisotropic submanifolds
- A. Cattaneo, G. Felder
- Mathematics
- 29 January 2005
On the AKSZ Formulation of the Poisson Sigma Model
- A. Cattaneo, G. Felder
- Mathematics
- 14 February 2001
We review and extend the Alexandrov–Kontsevich–Schwarz–Zaboronsky construction of solutions of the Batalin–Vilkovisky classical master equation. In particular, we study the case of sigma models on…
Differential Equations Compatible with KZ Equations
- G. Felder, Y. Markov, V. Tarasov, A. Varchenko
- Mathematics
- 31 January 2000
We define a system of ‘dynamical’ differential equations compatible with the KZ differential equations. The KZ differential equations are associated to a complex simple Lie algebra g. These are…
...
...