Fractional-Spin Integrals of Motion for the Boundary Sine-Gordon Model at the Free Fermion Point
Luca Mezincescu, Rafael I. Nepomechie
TL;DR
This paper constructs boundary integrals of motion for the sine-Gordon model at the free Fermion point, revealing a boundary quantum group structure and proposing fractional-spin IM structure away from this point.
Contribution
It introduces boundary integrals of motion for the sine-Gordon model at the free Fermion point and explores their algebraic structure and fractional-spin extensions.
Findings
Boundary IM correctly determine the boundary S matrix.
The algebra of IM forms a one-parameter family of infinite-dimensional subalgebras.
Proposal of fractional-spin IM structure away from the free Fermion point.
Abstract
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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