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

Andrew J. Bordner

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)541-552
Number of pages12
JournalModern Physics Letters A
Volume13
Issue number7
StatePublished - Mar 7 1998
Externally publishedYes

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algebra
Charge
Algebra
W-algebras
Boussinesq Equations
KdV Equation
Recursive Algorithm
Integrability

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Statistical and Nonlinear Physics

Cite this

Commuting charges of the quantum Korteweg-De Vries and Boussinesq theories from the reduction of W and W1+∞ algebras. / Bordner, Andrew J.

In: Modern Physics Letters A, Vol. 13, No. 7, 07.03.1998, p. 541-552.

Research output: Contribution to journalArticle

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