Simple Lie algebras, Drinfeld–Sokolov hierarchies, and multi-point correlation functions

نویسندگان

  • Marco Bertola
  • Boris Dubrovin
  • Di Yang
چکیده

For a simple Lie algebra g, we derive a simple algorithm for computing logarithmic derivatives of tau-functions of Drinfeld–Sokolov hierarchy of g-type in terms of g-valued resolvents. We show, for the topological solution to the lowest-weight-gauge Drinfeld–Sokolov hierarchy of g-type, the resolvents evaluated at zero satisfy the topological ODE.

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تاریخ انتشار 2016