Many-spinon states and representations of Yangians in the SU(n) Haldane--Shastry model

Details Many-spinon states and representations of Yangians in the SU(n) Haldane--Shastry model Many-spinon states and representations of Yangians in the SU(n) Haldane--Shastry model

2007-11-09

arxiv.org/abs/0711.1531v2

J.Phys.A41:015208,2008

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages

Scientific paper

10.1088/1751-8113/41/1/015208

We study the relation of Yangians and spinons in the SU(n) Haldane--Shastry
model. The representation theory of the Yangian is shown to be intimately
related to the fractional statistics of the spinons. We construct the spinon
Hilbert space from tensor products of the fundamental representations of the
Yangian.

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