University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Multi-parametric R-matrix for the sl(2|1) Yangian

Babichenko, A and Torrielli, A (2012) Multi-parametric R-matrix for the sl(2|1) Yangian Journal of Mathematical Physics, 53 (8).

[img] Text (deleted)
Yangiansl12_04March.pdf
Restricted to Repository staff only

Download (435kB)

Abstract

We study the Yangian of the sl(2|1) Lie superalgebra in a multi-parametric four-dimensional representation. We use Drinfeld's second realization to derive the R-matrix, the antiparticle representation, the crossing and unitarity condition. We consistently apply the Yangian antipode and its inverse to the individual particles involved in the scattering. We explicitly find a scalar factor solving the crossing and unitarity conditions, and study the analytic structure of the resulting dressed R-matrix. The formulas we obtain bear some similarities with those familiar from the study of integrable structures in the AdS/CFT correspondence, although they present obvious crucial differences.

Item Type: Article
Authors :
AuthorsEmailORCID
Babichenko, AUNSPECIFIEDUNSPECIFIED
Torrielli, AUNSPECIFIEDUNSPECIFIED
Date : 12 July 2012
Identification Number : https://doi.org/10.1063/1.4740022
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 28 Mar 2017 14:41
Last Modified : 28 Mar 2017 14:41
URI: http://epubs.surrey.ac.uk/id/eprint/315148

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800