Free fermions and tau-functions
Mathematical Physics
2013-09-25 v3 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review the formalism of free fermions used for construction of tau-functions of classical integrable hierarchies and give a detailed derivation of group-like properties of the normally ordered exponents, transformations between different normal orderings, the bilinear relations, the generalized Wick theorem and the bosonization rules. We also consider various examples of tau-functions and give their fermionic realization.
Cite
@article{arxiv.1212.6049,
title = {Free fermions and tau-functions},
author = {Alexander Alexandrov and Anton Zabrodin},
journal= {arXiv preprint arXiv:1212.6049},
year = {2013}
}
Comments
67 pages, 3 figures