21 citations · 51 across the 4 of their papers we have counts for
4 papers
Canonical quantization of the boundary Wess-Zumino-Witten model
Krzysztof Gawedzki, Ivan Todorov, Pascal Tran-Ngoc-Bich
We present an analysis of the canonical structure of the WZW theory with untwisted conformal boundary conditions. The phase space of the boundary theory on a strip is shown to coin…
Exact solutions for some sigma models in quantum field theory
P. Tran-Ngoc-Bich
We invistigate exact solutions for the two-dimensional quantum field theories called Wess-Zumino-Novikov-Witten (WZNW) models. A WZNW model is a sigma model whose classical fields…
Hitchin Systems at Low Genera
Krzysztof Gawedzki, Pascal Tran-Ngoc-Bich
The paper gives a quick account of the simplest cases of the Hitchin integrable systems and of the Knizhnik-Zamolodchikov-Bernard connection at genus 0, 1 and 2. In particular, we…
Self-duality of the SL_2 Hitchin integrable system at genus two
Krzysztof Gawedzki, Pascal Tran-Ngoc-Bich
We revisit the Hitchin integrable system whose phase space is the bundle cotangent to the moduli space of holomorphic -bundles over a smooth complex curve of genus two. $…