Exact conserved quantities on the cylinder II: Off-critical case

Davide Fioravanti; Marco Rossi

Exact conserved quantities on the cylinder II: Off-critical case

Davide Fioravanti, Marco Rossi

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

Abstract

With the aim of exploring a massive family of models, the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an integrable lattice field theory. The eigenvalues of the energy and of the transfer matrix (and of all the other local integrals of motion) are expressed in terms of the corresponding solutions of the nonlinear integral equation. The family of models turns out to correspond to the F_(1,3) perturbation of Conformal Field Theories. The analytic and asymptotic behaviours of the transfer matrix are studied and given. © SISSA/ISAS 2003.

Original language	English
Pages (from-to)	995-1008
Number of pages	14
Journal	Journal of High Energy Physics
Volume	7
Issue number	8
Publication status	Published - 1 Aug 2003

Keywords

Bethe Ansatz
Conformal and W Symmetry
Integrable Field Theories

Cite this

@article{69c8d4a37eb54ee8824e78b0a209194d,

title = "Exact conserved quantities on the cylinder II: Off-critical case",

abstract = "With the aim of exploring a massive family of models, the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an integrable lattice field theory. The eigenvalues of the energy and of the transfer matrix (and of all the other local integrals of motion) are expressed in terms of the corresponding solutions of the nonlinear integral equation. The family of models turns out to correspond to the F(1,3) perturbation of Conformal Field Theories. The analytic and asymptotic behaviours of the transfer matrix are studied and given. {\textcopyright} SISSA/ISAS 2003.",

keywords = "Bethe Ansatz, Conformal and W Symmetry, Integrable Field Theories",

author = "Davide Fioravanti and Marco Rossi",

year = "2003",

month = aug,

day = "1",

language = "English",

volume = "7",

pages = "995--1008",

journal = "Journal of High Energy Physics",

publisher = "Springer",

number = "8",

}

TY - JOUR

T1 - Exact conserved quantities on the cylinder II

T2 - Off-critical case

AU - Fioravanti, Davide

AU - Rossi, Marco

PY - 2003/8/1

Y1 - 2003/8/1

N2 - With the aim of exploring a massive family of models, the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an integrable lattice field theory. The eigenvalues of the energy and of the transfer matrix (and of all the other local integrals of motion) are expressed in terms of the corresponding solutions of the nonlinear integral equation. The family of models turns out to correspond to the F(1,3) perturbation of Conformal Field Theories. The analytic and asymptotic behaviours of the transfer matrix are studied and given. © SISSA/ISAS 2003.

AB - With the aim of exploring a massive family of models, the nonlinear integral equation for a quantum system consisting of left and right KdV equations coupled on the cylinder is derived from an integrable lattice field theory. The eigenvalues of the energy and of the transfer matrix (and of all the other local integrals of motion) are expressed in terms of the corresponding solutions of the nonlinear integral equation. The family of models turns out to correspond to the F(1,3) perturbation of Conformal Field Theories. The analytic and asymptotic behaviours of the transfer matrix are studied and given. © SISSA/ISAS 2003.

KW - Bethe Ansatz

KW - Conformal and W Symmetry

KW - Integrable Field Theories

UR - http://www.scopus.com/inward/record.url?scp=23044475046&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 995

EP - 1008

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

ER -

Exact conserved quantities on the cylinder II: Off-critical case

Abstract

Keywords

Other files and links

Fingerprint

Cite this