Commuting charges of the quantum Korteweg-De Vries and Boussinesq theories from the reduction of W∞ and W1+∞ algebras

Andrew J. Bordner

doi:10.1142/S0217732398000607

Commuting charges of the quantum Korteweg-De Vries and Boussinesq theories from the reduction of W_∞ and W_1+∞ algebras

Andrew J. Bordner

Biochemistry and Molecular Biology

Research output: Contribution to journal › Article › peer-review

Abstract

Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W_∞-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W_∞/2- and W_(1=∞)/2-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.

Original language	English (US)
Pages (from-to)	541-552
Number of pages	12
Journal	Modern Physics Letters A
Volume	13
Issue number	7
DOIs	https://doi.org/10.1142/S0217732398000607
State	Published - Mar 7 1998

ASJC Scopus subject areas

Nuclear and High Energy Physics
Astronomy and Astrophysics
Physics and Astronomy(all)

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abstract = "Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W∞-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W∞/2- and W(1=∞)/2-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.",

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N2 - Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W∞-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W∞/2- and W(1=∞)/2-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.

AB - Integrability of the quantum Boussinesq equation for c = -2 is demonstrated by giving a recursive algorithm for generating explicit expressions for the infinite number of commuting charges based on a reduction of the W∞-algebra. These charges exist for all spins s ≥ 2. Likewise, reductions of the W∞/2- and W(1=∞)/2-algebras yield the commuting quantum charges for the quantum KdV equation at c = -2 and c = 1/2, respectively.

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Commuting charges of the quantum Korteweg-De Vries and Boussinesq theories from the reduction of W_∞ and W_1+∞ algebras

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