### Abstract

A hyperbolic BC(n) Sutherland model involving three independent coupling constants that characterize the interactions of two types of particles moving on the half-line is derived by Hamiltonian reduction of the free geodesic motion on the group SU(n, n). The symmetry group underlying the reduction is provided by the direct product of the fixed point subgroups of two commuting involutions of SU(n, n). The derivation implies the integrability of the model and yields a simple algorithm for constructing its solutions.

Original language | English |
---|---|

Article number | 103506 |

Journal | Journal of Mathematical Physics |

Volume | 52 |

Issue number | 10 |

DOIs | |

Publication status | Published - Oct 5 2011 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*52*(10), [103506]. https://doi.org/10.1063/1.3653221

**An integrable BC(n) Sutherland model with two types of particles.** / Ayadi, V.; Fehér, L.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 52, no. 10, 103506. https://doi.org/10.1063/1.3653221

}

TY - JOUR

T1 - An integrable BC(n) Sutherland model with two types of particles

AU - Ayadi, V.

AU - Fehér, L.

PY - 2011/10/5

Y1 - 2011/10/5

N2 - A hyperbolic BC(n) Sutherland model involving three independent coupling constants that characterize the interactions of two types of particles moving on the half-line is derived by Hamiltonian reduction of the free geodesic motion on the group SU(n, n). The symmetry group underlying the reduction is provided by the direct product of the fixed point subgroups of two commuting involutions of SU(n, n). The derivation implies the integrability of the model and yields a simple algorithm for constructing its solutions.

AB - A hyperbolic BC(n) Sutherland model involving three independent coupling constants that characterize the interactions of two types of particles moving on the half-line is derived by Hamiltonian reduction of the free geodesic motion on the group SU(n, n). The symmetry group underlying the reduction is provided by the direct product of the fixed point subgroups of two commuting involutions of SU(n, n). The derivation implies the integrability of the model and yields a simple algorithm for constructing its solutions.

UR - http://www.scopus.com/inward/record.url?scp=80055109378&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80055109378&partnerID=8YFLogxK

U2 - 10.1063/1.3653221

DO - 10.1063/1.3653221

M3 - Article

VL - 52

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

M1 - 103506

ER -