Fermionic Computations for Integrable Hierarchies

Abstract

We present a unified fermionic approach to compute the tau-functions and the n-point functions of integrable hierarchies related to some infinite-dimensional Lie algebras and their representations.

References in corpus (4)

• Correlation functions of the KdV hierarchy and applications to intersection numbers over ${\overline{\mathcal{M}}}_{g,n}$
• Emergent Geometry and Mirror Symmetry of A Point
• Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies
• Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function

Cited by in corpus (1)

• Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials