Spin-chain with PSU(2|2)xU(1)^3 and Non-linear Sigma-model with D(2,1;gamma)
High Energy Physics - Theory
2018-01-22 v2
Abstract
We propose that the spin-chain with the PSU(2|2)xU(1)^3 symmetry is equivalent to the non-linear sigma-model on PSU(2|2)xU(1)^3/{HxU(1)} with a certain subgroup. To this end we show that the spin-variable of the former theory is identified as the Killing scalar of the latter and their correlation functions can have the same integrability. It is crucial to think that the respective theory gets the PSU(2|2)xU(1)^3 symmetry by a symmetry reduction the exceptional supergroup D(2,1;gamma), rather than by an extension of PSU(2|2).
Keywords
Cite
@article{arxiv.1502.03684,
title = {Spin-chain with PSU(2|2)xU(1)^3 and Non-linear Sigma-model with D(2,1;gamma)},
author = {Shogo Aoyama and Yuco Honda},
journal= {arXiv preprint arXiv:1502.03684},
year = {2018}
}
Comments
13 pages, v2: typos corrected, published version