FRACTIONAL-SPIN INTEGRALS OF MOTION FOR THE BOUNDARY SINE–GORDON MODEL AT THE FREE FERMION POINT

LUCA MEZINCESCU, RAFAEL I. NEPOMECHIE
1998 International Journal of Modern Physics A  
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.
doi:10.1142/s0217751x98001402 fatcat:wi4s5bat3ff3hkifx4oehmukei