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Article
Open AccessBerezin Quantization, Conformal Welding and the Bott–Virasoro Group
Following Nag–Sullivan, we study the representation of the group \(\textrm{Diff}^+(S^1)\) ...
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Chapter
Testing Seiberg-Witten Solution
One of the sources of the recent duality revolution in string theory is the solution of N. Seiberg and E. Witten [1] of N = 2 supersymmetric Yang-Mills theory which has been tested in many indirect ways but never...
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Article
Central extensions of gauge groups revisited
We present an explicit construction for the central extension of the group Map(X, G) where X is a compact manifold and G is a Lie group. If X is a complex curve we obtain a simple construction of the extension b...
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Article
Quantum groups and WZNW models
An explanation of the appearance of quantum groups in chiral WZNW models is given. Invariance of the theory under quantum group action is discussed.
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Article
From geometric quantization to conformal field theory
Investigation of 2d conformal field theory in terms of geometric quantization is given. We quantize the so-called model space of the compact Lie group, Virasoro group and Kac-Moody group. In particular, we give a...
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Chapter and Conference Paper
From Geometric Quantization to Conformal Field Theory
In this paper we proceed with studying the 2d conformal field theories in terms of geometric quantization (see [1,2,3]). As it was shown in our preceding papers the standard geometric quantization method [4] c...
