ON THE STRING EQUATION OF THE BKP HIERARCHY

DOI10.1142/S0217751X09043390zbMath1175.81164arXiv0811.1469MaRDI QIDQ3648410

Ming-Hsien Tu, Hsin-Fu Shen

Publication date: 25 November 2009

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1469

zbMATH Keywords

vertex operatorsSato Grassmannianstring equationBKP hierarchyadditional symmetriesW-constraints

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (8)

String equations of the \( q \)-KP hierarchy ⋮ On the sub-KP hierarchy and its constraints, revisited ⋮ Additional symmetries of constrained CKP and BKP hierarchies ⋮ The “ghost” symmetry of the BKP hierarchy ⋮ Block type symmetry of bigraded Toda hierarchy ⋮ Sato–Bäcklund transformations and string equations of the mKP hierarchy ⋮ On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry ⋮ The additional symmetries for the BTL and CTL hierarchies

Cites Work

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• Loop groups and equations of KdV type
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• Intersection theory on the moduli space of curves and the matrix Airy function
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• On additional symmetries of the KP hierarchy and Sato's Bäcklund transformation
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• Additional symmetries for integrable equations and conformal algebra representation
• A Lax representation for the vertex operator and the central extension
• ON SOLUTIONS TO THE STRING EQUATION
• SYMMETRIES IN NON-PERTURBATIVE 2-d QUANTUM GRAVITY
• ADDITIONAL SYMMETRIES OF KP, GRASSMANNIAN, AND THE STRING EQUATION
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
• The Adler–Shiota–van Moerbeke formula for the BKP hierarchy

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