New Compact Construction of Eigenstates for Supersymmetric Spin Chains

Nikolay Gromov, Fedor Levkovich-Maslyuk

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)
132 Downloads (Pure)

Abstract

The problem of separation of variables (SoV) in supersymmetric spin chains is closely related to the calculation of correlation functions in N=4 SYM theory which is integrable in the planar limit. To address this question we find a compact formula for the spin chain eigenstates, which does not have any sums over auxiliary roots one usually gets in the widely adopted nested Bethe ansatz. Our construction only involves one application of a simple Bg(uk) operator to the reference state for each of the magnons, in complete analogy with the su(2) algebraic Bethe ansatz. This generalizes our SoV based construction for su(n) to the supersymmetric su(1∣∣2) case.
Original languageEnglish
JournalJournal of High Energy Physics
Early online date17 Sept 2018
DOIs
Publication statusPublished - Sept 2018

Fingerprint

Dive into the research topics of 'New Compact Construction of Eigenstates for Supersymmetric Spin Chains'. Together they form a unique fingerprint.

Cite this