On double-elliptic integrable systems 1. A duality argument for the case of SU(2)

H W  Braden; A  Marshakov; A  Mironov; A  Morozov

On double-elliptic integrable systems 1. A duality argument for the case of SU(2)

H W Braden, A Marshakov, A Mironov, A Morozov

School of Mathematics

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

Abstract

We construct a two-parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta. (C) 2000 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	553-572
Number of pages	20
Journal	Nuclear physics b
Volume	573
Issue number	1-2
Publication status	Published - 1 May 2000

Keywords / Materials (for Non-textual outputs)

YANG-MILLS THEORY
SEIBERG-WITTEN THEORY
SUPERSYMMETRIC GAUGE
WDVV EQUATIONS
FIELD-THEORIES
BODY PROBLEMS
BRANES
MONOPOLES
HIERARCHY
STRINGS

Cite this

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title = "On double-elliptic integrable systems 1. A duality argument for the case of SU(2)",

abstract = "We construct a two-parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta. (C) 2000 Elsevier Science B.V. All rights reserved.",

keywords = "YANG-MILLS THEORY, SEIBERG-WITTEN THEORY, SUPERSYMMETRIC GAUGE, WDVV EQUATIONS, FIELD-THEORIES, BODY PROBLEMS, BRANES, MONOPOLES, HIERARCHY, STRINGS",

author = "Braden, {H W} and A Marshakov and A Mironov and A Morozov",

year = "2000",

month = may,

day = "1",

language = "English",

volume = "573",

pages = "553--572",

journal = "Nuclear physics b",

issn = "0550-3213",

publisher = "Elsevier",

number = "1-2",

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TY - JOUR

T1 - On double-elliptic integrable systems 1. A duality argument for the case of SU(2)

AU - Braden, H W

AU - Marshakov, A

AU - Mironov, A

AU - Morozov, A

PY - 2000/5/1

Y1 - 2000/5/1

N2 - We construct a two-parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta. (C) 2000 Elsevier Science B.V. All rights reserved.

AB - We construct a two-parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta. (C) 2000 Elsevier Science B.V. All rights reserved.

KW - YANG-MILLS THEORY

KW - SEIBERG-WITTEN THEORY

KW - SUPERSYMMETRIC GAUGE

KW - WDVV EQUATIONS

KW - FIELD-THEORIES

KW - BODY PROBLEMS

KW - BRANES

KW - MONOPOLES

KW - HIERARCHY

KW - STRINGS

M3 - Article

SN - 0550-3213

VL - 573

SP - 553

EP - 572

JO - Nuclear physics b

JF - Nuclear physics b

IS - 1-2

ER -

On double-elliptic integrable systems 1. A duality argument for the case of SU(2)

Abstract

Keywords / Materials (for Non-textual outputs)

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