Slavnov products of Bethe states in rational spin chains are shown to be KP tau functions, with new Wronskian and Baker-Akhiezer formulas, but the key identification relies on an unverified assumption.
Why scalar products in the algebraic Bethe ansatz have determinant representation
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We show that the scalar products of on-shell and off-shell Bethe vectors in the algebra1ic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken $U(1)$ symmetry.
citation-role summary
method 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
REJECT 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
More on Slavnov Products of Spin Chains and KP Hierarchy Tau Functions
Slavnov products of Bethe states in rational spin chains are shown to be KP tau functions, with new Wronskian and Baker-Akhiezer formulas, but the key identification relies on an unverified assumption.