On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula

DOI10.1007/s11005-007-0172-0zbMath1161.35505arXivnlin/0611053OpenAlexW2005671023MaRDI QIDQ1013591

Ming-Hsien Tu

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0611053

zbMATH Keywords

vertex operatorsBKP hierarchyadditional symmetriesAdler-Shiota-van Moerbeke formulaFay identity

Mathematics Subject Classification ID

Related Items (36)

Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries ⋮ On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries ⋮ Dynamics of poles of elliptic solutions to the BKP equation ⋮ BKP hierarchy, affine coordinates, and a formula for connected bosonic \(n\)-point functions ⋮ Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Connected (n,m)-point functions of diagonal 2-BKP tau-functions and spin double Hurwitz numbers ⋮ Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system ⋮ Toda lattice with constraint of type B ⋮ Quantum torus symmetries of the CKP and multi-component CKP hierarchies ⋮ The Wronskian solution of the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ Tau-function of the B-Toda hierarchy ⋮ From additional symmetries to linearization of Virasoro symmetries ⋮ Symmetries of supersymmetric CKP hierarchy and its reduction ⋮ The ``ghost symmetry in the CKP hierarchy ⋮ Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation ⋮ Quantum torus symmetry of the KP, KdV and BKP hierarchies ⋮ On the squared eigenfunction symmetry of the Toda lattice hierarchy ⋮ The generalized additional symmetries of the two-Toda lattice hierarchy ⋮ \(SW_{1+\infty}\) symmetries of \(N = 2\) supersymmetric CKP hierarchy and its multicomponent generalization ⋮ Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ \(N = 2\) supersymmetric BKP hierarchy with \(SW_{1+\infty}\) symmetries and its multicomponent generalization ⋮ The applications of the gauge transformation for the BKP hierarchy ⋮ On the sub-KP hierarchy and its constraints, revisited ⋮ Additional symmetries of constrained CKP and BKP hierarchies ⋮ Supersymmetric BKP systems and their symmetries ⋮ Kadomtsev-Petviashvili hierarchies of types B and C ⋮ Additional symmetries and string equation of the CKP hierarchy ⋮ Gauge Transformation for BC _r -KP Hierarchy and Its Compatibility with Additional Symmetry ⋮ The Virasoro action on the tau function for the constrained discrete KP hierarchy ⋮ The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy ⋮ Additional symmetries and string equations of the noncommutative B and C type KP hierarchies ⋮ Elliptic solutions to integrable nonlinear equations and many-body systems ⋮ The “ghost” symmetry of the BKP hierarchy ⋮ Block type symmetry of bigraded Toda hierarchy ⋮ On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry ⋮ The additional symmetries for the BTL and CTL hierarchies

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