| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895858 | Journal of Geometry and Physics | 2013 | 44 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alexander Alexandrov, Anton Zabrodin,