Quantum Group Symmetry in sineGordon and Affine Toda Field Theories on the HalfLine
Abstract
We consider the sineGordon and affine Toda field theories on the halfline with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by nonlocal charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U_{q}(ĝ).
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2003
 DOI:
 10.1007/s0022000207584
 arXiv:
 arXiv:hepth/0112023
 Bibcode:
 2003CMaPh.233..173D
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 AMSLatex, 20 pages. Typos corrected and reference added. To appear in Commun. Math. Phys