The two bosonizations of the CKP hierarchy: Overview and character identities

DOI10.1090/conm/713/14326zbMath1423.81125arXiv1708.04992OpenAlexW2963380258MaRDI QIDQ5234913

Iana I. Anguelova

Publication date: 7 October 2019

Published in: Representations of Lie Algebras, Quantum Groups and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04992

zbMATH Keywords

symplectic fermionsbosonizationvertex algebrasCKP hierarchypartitions, character identities

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) KdV equations (Korteweg-de Vries equations) (35Q53) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Statistical mechanics of solids (82D20) Statistical mechanics of liquids (82D15) Contact manifolds (general theory) (53D10) Bergman spaces and Fock spaces (30H20)

Related Items (4)

Tau functions of the charged free bosons ⋮ Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras ⋮ CKP hierarchy and free bosons ⋮ Polynomial tau-functions of BKP and DKP hierarchies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• CKP hierarchy, bosonic tau function and bosonization formulae
• \(\hat{\mathfrak sl}(2)_{-1/2}\) and the triplet model
• A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• A simple proof of Ramanujan's summation of the \(_1\Psi_1\)
• Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
• Introduction to vertex operator algebras and their representations
• Congruences in ordered pairs of partitions
• \(N\)-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras
• Relating the archetypes of logarithmic conformal field theory
• Boson-Fermion Correspondence of Type B and Twisted Vertex Algebras
• Boson-fermion correspondence of type D-A and multi-local Virasoro representations on the Fock space $\mathit {F^{\otimes \frac{1}{2}}}$F⊗12
• Biranks for Partitions into 2 Colors
• Multilocal bosonization
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• Dyson’s crank of a partition
• DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS
• The second bosonization of the CKP hierarchy
• Twisted vertex algebras, bicharacter construction and boson-fermion correspondences
• Shorter Notes: On Ramanujan's Summation of 1 ψ 1 (a; b; z)

This page was built for publication: The two bosonizations of the CKP hierarchy: Overview and character identities