Speaker
Dr
carlo Meneghelli
(Fachbereich Mathematik uni hamburg and DESY)
Description
I will discuss a systematic approach to the construction of lattice regularizations of a certain class of 1+1 dimensional integrable quantum field theories.
The method is based on the identification of the relevant algebraic structure combined with a systematic analysis of its representations.
I will focus on the example of affine Toda theories.
Remarkable factorization/fusion properties of some degenerate representations of the underlying quantum affine algebra are connected to the separation/recombination of left- and right-movers in 1+1 dimensional conformal field theory.
I will present a derivation of the so called quantum discrete-time evolution equations on a light-cone lattice for affine Toda theories.
I will conclude with some considerations on the construction of Baxter's Q-operators for these models.
Primary author
Dr
carlo Meneghelli
(Fachbereich Mathematik uni hamburg and DESY)
