Lectures on integrable hierarchies and vertex operators
classification
✦ hep-th
keywords
fermionsfreehierarchylecturesvertexalgebraalgebrasansatz
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This is a write-up of lectures intended for (under)graduate students. Contents: Scalar Ansatz (KP hierarchy). Fermionic Fock space. Fermi-Bose correspondence. KP hierarchy via free fermions. Formal distributions and locality. Operator product expansion. Vertex algebras. Free fermions. Virasoro algebra in KdV.
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