New Construction of Eigenstates and Separation of Variables for SU(N) Spin Chains

OKC/Nordita High-Energy Physics Theory seminar

Monday 13 February 2017
from 13:15
to 14:15 at
132:028

Speaker :

Fedor Levkovich-Maslyuk (Nordita)

Abstract :

We conjecture a new way to construct eigenstates of integrable XXX
spin chains with SU(N) symmetry. Such spin chains arise in many
settings ranging from condensed matter to N=4 SYM. We show that states
can be built by repeatedly acting on the vacuum with a single operator
evaluated at the Bethe roots. The 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 Sklyaninâ€™s approach to the SU(N)
case. We present many tests of the conjecture and prove it in several
special cases.
Based on arXiv:1610.08032. with N. Gromov and G. Sizov