TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.1.023
TI  - Scalar products and norm of Bethe vectors in $\mathfrak{o}_{2n+1}$ invariant integrable models
PY  - 2025/07/18
UR  - https://scipost.org/SciPostPhys.19.1.023
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 1
SP  - 023
A1  - Liashyk, Andrii
AU  - Pakuliak, Stanislav
AU  - Ragoucy, Eric
AB  - We compute scalar products of off-shell Bethe vectors in models with $o_{2n+1}$ symmetry. The scalar products are expressed as a sum over partitions of the Bethe parameter sets, the building blocks being the so-called highest coefficients. We prove some recurrence relations and a residue theorem for these highest coefficients, and prove that they are consistent with the reduction to $gl_n$ invariant models. We also express the norm of on-shell Bethe vectors as a Gaudin determinant.
ER  -

@Article{10.21468/SciPostPhys.19.1.023,
	title={{Scalar products and norm of Bethe vectors in $\mathfrak{o}_{2n+1}$ invariant integrable models}},
	author={A. Liashyk and S. Pakuliak and E. Ragoucy},
	journal={SciPost Phys.},
	volume={19},
	pages={023},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.1.023},
	url={https://scipost.org/10.21468/SciPostPhys.19.1.023},
}