Collapsing the Bethe ansatz
Duration: 40 mins 27 secs
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| Description: |
Fendley, P (Oxford/Virginia)
Tuesday 11 December 2007, 15:30-16:10 Integrability and the Gauge/String Correspondence |
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| Created: | 2007-12-19 12:01 | ||
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| Collection: | Strong Fields, Integrability and Strings | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Fendley, P | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | I discuss a system where the Bethe ansatz "collapses", meaning that the nested Bethe equations end up requiring only that the momenta are those of free fermions. The model describes two free-fermion chains coupled via strong attractive nearest-neighbor interactions, akin to a ferromagnet. Despite the collapse of the Bethe ansatz, the system is not free: the spectrum consists of zero-energy fermion pairs (Cooper pairs), and particles obeying mutual exclusion statistics. The extensive degeneracies are described by a (space-time) supersymmetric generalization of the Yangian algebra.
Related Links * http://arxiv.org/abs/cond-mat/0612270 - paper by Fendley and Schoutens |
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