Spectral dualities in XXZ spin chains and five dimensional gauge theories

1, i.e. when it reduces to the XXX/Gaudin duality. We also show that the universal difference operators are given by the normal ordering of the classical spectral curves.
Comment: 9 pages, minor corrections, reference added -->

Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP12(2013)034
Přístupová URL adresa:	http://arxiv.org/abs/1307.1502
Přírůstkové číslo:	edsarx.1307.1502
Autor:	Mironov, A., Morozov, A., Runov, B., Zenkevich, Y., Zotov, A.
Rok vydání:	2013
Předmět:	High Energy Physics - Theory Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	JHEP 1312 (2013) 034
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP12(2013)034
Popis:	Motivated by recent progress in the study of supersymmetric gauge theories we propose a very compact formulation of spectral duality between XXZ spin chains. The action of the quantum duality is given by the Fourier transform in the spectral parameter. We investigate the duality in various limits and, in particular, prove it for q-->1, i.e. when it reduces to the XXX/Gaudin duality. We also show that the universal difference operators are given by the normal ordering of the classical spectral curves. Comment: 9 pages, minor corrections, reference added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.1502 Zobrazit plný text záznamu View this record from Arxiv