Scattering matrix for a general gl(2) spin chain

Details Scattering matrix for a general gl(2) spin chain Scattering matrix for a general gl(2) spin chain

2009-09-08

arxiv.org/abs/0909.1520v2

J.Stat.Mech.0912:P12003,2009

Physics

Mathematical Physics

30 pages; presentation modified to focus on new results, conjectures clarified, references and conclusion added

Scientific paper

10.1088/1742-5468/2009/12/P12003

We study the general L_0-regular gl(2) spin chain, i.e. a chain where the sites {i,i+L_0,i+2L_0,...} carry the same arbitrary representation (spin) of gl(2). The basic example of such chain is obtained for L_0=2, where we recover the alternating spin chain. Firstly, we review different known results about their integrability and their spectrum. Secondly, we give an interpretation in terms of particles and conjecture the scattering matrix between them.

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