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arxiv: hep-th/9709078 · v1 · submitted 1997-09-10 · ✦ hep-th

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

classification ✦ hep-th
keywords boundaryfermionfreepointfractional-spinintegralsmodelmotion
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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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