Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 47, Issue 30, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/30/305201
Keywords
quantum algebra; integrable systems; AdS/CFT correspondence; one-dimensional Hubbard model
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Funding
- Swiss National Science Foundation [200021-137616]
- Swiss National Science Foundation (SNF) [200021_137616] Funding Source: Swiss National Science Foundation (SNF)
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In this paper we work out the RTT realization for the Yangian algebra of the Hubbard model and anti-de Sitter/conformal field theory correspondence. We find that this Yangian algebra is of a non-standard type in which the levels of the Yangian mix. The crucial feature that allows this is a braiding factor that deforms the coproduct and generates the central extensions of the underlying sl(2|2) Lie algebra. In our RTT realization we have also been able to incorporate the so-called secret symmetry and we were able to extend it to higher Yangian levels. Finally, we discuss the center of the Yangian and the automorphisms related to crossing symmetry.
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