### Abstract

We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free fermion point (β^{2} = 4π) which correctly determine the boundary S matrix. The algebra of these IM ("boundary quantum group" at q = 1) is a one-parameter family of infinite-dimensional subalgebras of twisted sl(2). We also propose the structure of the fractional-spin IM away from the free fermion point (β^{2} ≠ 4π).

Original language | English (US) |
---|---|

Pages (from-to) | 2747-2764 |

Number of pages | 18 |

Journal | International Journal of Modern Physics A |

Volume | 13 |

Issue number | 16 |

State | Published - 1998 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

**Fractional-spin integrals of motion for the boundary sine-gordon model at the free fermion point.** / Mezincescu, Alexandru.

Research output: Contribution to journal › Article

*International Journal of Modern Physics A*, vol. 13, no. 16, pp. 2747-2764.

}

TY - JOUR

T1 - Fractional-spin integrals of motion for the boundary sine-gordon model at the free fermion point

AU - Mezincescu, Alexandru

PY - 1998

Y1 - 1998

N2 - We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free fermion point (β2 = 4π) which correctly determine the boundary S matrix. The algebra of these IM ("boundary quantum group" at q = 1) is a one-parameter family of infinite-dimensional subalgebras of twisted sl(2). We also propose the structure of the fractional-spin IM away from the free fermion point (β2 ≠ 4π).

AB - We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free fermion point (β2 = 4π) which correctly determine the boundary S matrix. The algebra of these IM ("boundary quantum group" at q = 1) is a one-parameter family of infinite-dimensional subalgebras of twisted sl(2). We also propose the structure of the fractional-spin IM away from the free fermion point (β2 ≠ 4π).

UR - http://www.scopus.com/inward/record.url?scp=0000413470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000413470&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000413470

VL - 13

SP - 2747

EP - 2764

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 16

ER -