The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and τ -function

Rei Inoue; Kazuhiro Hikami

doi:10.1016/S0550-3213(00)00265-0

The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and τ -function

Rei Inoue, Kazuhiro Hikami

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

7 Citations (Scopus)

Abstract

The discretization of the Toda field theory for any finite-dimensional simple Lie algebras is studied. We define the Poisson relation among Toda fields on the lattice, and clarify the Hamiltonian structure of the lattice Toda field equation. We transform the Toda field equation into the functional equation of the τ -function, and discuss the correspondence with the T-system.

Original language	English
Pages (from-to)	761-775
Number of pages	15
Journal	Nuclear Physics B
Volume	581
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(00)00265-0
Publication status	Published - Aug 21 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/S0550-3213(00)00265-0

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title = "The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and τ -function",

abstract = "The discretization of the Toda field theory for any finite-dimensional simple Lie algebras is studied. We define the Poisson relation among Toda fields on the lattice, and clarify the Hamiltonian structure of the lattice Toda field equation. We transform the Toda field equation into the functional equation of the τ -function, and discuss the correspondence with the T-system.",

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N2 - The discretization of the Toda field theory for any finite-dimensional simple Lie algebras is studied. We define the Poisson relation among Toda fields on the lattice, and clarify the Hamiltonian structure of the lattice Toda field equation. We transform the Toda field equation into the functional equation of the τ -function, and discuss the correspondence with the T-system.

AB - The discretization of the Toda field theory for any finite-dimensional simple Lie algebras is studied. We define the Poisson relation among Toda fields on the lattice, and clarify the Hamiltonian structure of the lattice Toda field equation. We transform the Toda field equation into the functional equation of the τ -function, and discuss the correspondence with the T-system.

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The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and τ -function

Abstract

All Science Journal Classification (ASJC) codes

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