Autor:	N.M.J. Woodhouse, Lionel Mason, Michael A. Singer
Rok vydání:	2002
Předmět:	Geometric quantization Physics Conformal field theory Statistical and Nonlinear Physics Twistor theory High Energy Physics::Theory symbols.namesake Line bundle Gauge group symbols Coherent states Ramanujan tau function Quantum field theory Mathematical Physics Mathematical physics
Zdroj:	Communications in Mathematical Physics. 230:389-420
ISSN:	0010-3616
DOI:	10.1007/s00220-002-0714-3
Popis:	This article is concerned with obtaining the standard tau function descriptions of integrable equations (in particular, here the KdV and Ernst equations are considered) from the geometry of their twistor correspondences. In particular, we will see that the quantum field theoretic formulae for tau functions can be understood as arising from geometric quantization of the twistor data. En route we give a geometric quantization formulation of Chern-Simons and WZW quantum field theories using the Quillen determinant line bundle construction and ingredients from Segal's conformal field theory. The $\tau$-functions are then seen to be amplitudes associated with gauge group actions on certain coherent states within these theories that can be obtained from the twistor description.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5bc66b31ecd61e1e6fb11d5564f772e https://doi.org/10.1007/s00220-002-0714-3 Zobrazit plný text záznamu Full text from SpringerLink