@article{a2c42d2ee81643dfae483e468e841d97,

title = "Fractional-spin integrals of motion for the boundary sine-gordon model at the free fermion point",

abstract = "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).",

author = "Luca Mezincescu",

note = "Funding Information: The work presented here was initiated by A. B. Zamolodchikov, and represents an account of a joint ongoing investigation with him. We are grateful to him for his invaluable advice, kind hospitality, and for giving us the permission to present some of our joint results here. We also thank O. Alvarez, D. Bernard, F. Essler, A. LeClair, P. Pearce, V. Rittenberg and L. Vinet for discussions; and we acknowledge the hospitality at Bonn University, Rutgers University, and the Benasque Center for Physics, where part of this work was performed. This work was supported in part by DFG Ri 317/13-1, and by the National Science Foundation under Grant PHY-9507829.",

year = "1998",

doi = "10.1142/S0217751X98001402",

language = "English (US)",

volume = "13",

pages = "2747--2764",

journal = "International Journal of Modern Physics A",

issn = "0217-751X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "16",

}