The \(n\)th reduced BKP hierarchy, the string equation and \(BW_{1+\infty}\)-constraints

DOI10.1007/BF00116521zbMath0866.17017arXivhep-th/9411067MaRDI QIDQ1815378

Johan W. van de Leur

Publication date: 10 November 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9411067

zbMATH Keywords

Virasoro algebravertex operatorsstring equationaffine Lie algebrabasic module\(n\)-reduced BKP hierarchy

Mathematics Subject Classification ID

Related Items (15)

-constraints for the total descendant potential of a simple singularity ⋮ Bifurcations of travelling wave solutions for the generalized \((2+1)\)-dimensional Boussinesq-Kadomtsev-Petviashvili equation ⋮ A new solvable two-matrix model and the BKP tau function ⋮ Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies ⋮ Around spin Hurwitz numbers ⋮ Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation ⋮ Generalized \(Q\)-functions and \(UC\) hierarchy of \(B\)-type ⋮ Extensions on two-component BKP and D type Drinfeld-Sokolov hierarchies ⋮ New exact complex traveling wave solutions for \((2+1)\)-dimensional BKP equation ⋮ Additional symmetries and string equation of the CKP hierarchy ⋮ On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula ⋮ ON THE STRING EQUATION OF THE BKP HIERARCHY ⋮ Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method ⋮ The “ghost” symmetry of the BKP hierarchy ⋮ The additional symmetries for the BTL and CTL hierarchies

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Characterization of Jacobian varieties in terms of soliton equations
• Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
• A matrix integral solution to two-dimensional \(W_ p\)-gravity
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Lie algebras of differential operators, their central extensions, and W- algebras
• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION II
• Spin and wedge representations of infinite-dimensional Lie algebras and groups

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