New construction of eigenstates and separation of variables for SU( N) quantum spin chains.

Autor:	Gromov, Nikolay, Levkovich-Maslyuk, Fedor, Sizov, Grigory
Předmět:	SEPARATION of variables QUANTUM spin models INTEGRABLE functions REPRESENTATION theory EIGENANALYSIS
Zdroj:	Journal of High Energy Physics; Sep2017, Vol. 2017 Issue 9, p1-40, 40p
Abstrakt:	We conjecture a new way to construct eigenstates of integrable XXX quantum spin chains with SU( N) symmetry. The states are built by repeatedly acting on the vacuum with a single operator B ( u) evaluated at the Bethe roots. Our proposal serves as a compact alternative to the usual nested algebraic Bethe ansatz. Furthermore, the roots of this operator give the separated variables of the model, explicitly generalizing Sklyanin's approach to the SU( N) case. We present many tests of the conjecture and prove it in several special cases. We focus on rational spin chains with fundamental representation at each site, but expect many of the results to be valid more generally. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink