Thursday, December 27, 2012

1212.6049 (Alexander Alexandrov et al.)

Free fermions and tau-functions    [PDF]

Alexander Alexandrov, Anton Zabrodin
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.
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