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arxiv: 1212.6049 · v3 · pith:WEDEHY4Qnew · submitted 2012-12-25 · 🧮 math-ph · hep-th· math.MP· nlin.SI

Free fermions and tau-functions

Alexander Alexandrov , Anton Zabrodin This is my paper
classification 🧮 math-ph hep-thmath.MPnlin.SI
keywords tau-functionsfermionsfreegivebilinearbosonizationclassicalconsider
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Revisiting B\"acklund-Darboux transformations for KP and BKP integrable hierarchies

    nlin.SI 2025-06 unverdicted novelty 4.0

    Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.