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

6 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

Access to Document

10.1016/S0550-3213(00)00265-0

Fingerprint Dive into the research topics of 'The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and τ -function'. Together they form a unique fingerprint.

Cite this

Inoue, R., & Hikami, K. (2000). The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and τ -function. Nuclear Physics B, 581(3), 761-775. https://doi.org/10.1016/S0550-3213(00)00265-0

@article{747d2a6e53a24351916df8ffc536ae78,

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.",

author = "Rei Inoue and Kazuhiro Hikami",

year = "2000",

month = aug,

day = "21",

doi = "10.1016/S0550-3213(00)00265-0",

language = "English",

volume = "581",

pages = "761--775",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - The lattice Toda field theory for simple Lie algebras

T2 - Hamiltonian structure and τ -function

AU - Inoue, Rei

AU - Hikami, Kazuhiro

PY - 2000/8/21

Y1 - 2000/8/21

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.

UR - http://www.scopus.com/inward/record.url?scp=0041643642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041643642&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(00)00265-0

DO - 10.1016/S0550-3213(00)00265-0

M3 - Article

AN - SCOPUS:0041643642

VL - 581

SP - 761

EP - 775

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -