Fractional-Spin Integrals of Motion for the Boundary Sine-Gordon Model at the Free Fermion Point

Details Fractional-Spin Integrals of Motion for the Boundary Sine-Gordon Model at the Free Fermion Point Fractional-Spin Integrals of Motion for the Boundary Sine-Gordon Model at the Free Fermion Point

1997-09-10

arxiv.org/abs/hep-th/9709078v1

Int.J.Mod.Phys. A13 (1998) 2747-2764

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, no figures

Scientific paper

10.1142/S0217751X98001402

We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free Fermion point 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 affine sl(2). We also propose the structure of the fractional-spin IM away from the free Fermion point.

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