Č. Burdík, O. Navrátil, “Trace formula for the $RTT$-algebra of $sp(4)$ type”, TMF, 2022, Volume 213, Number 1,Pages 95

Trace formula for the $RTT$-algebra of $sp(4)$ type

Č. Burdík^a, O. Navrátil^b

^a Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Prague, Czech Republic
^b Faculty of Transportation Sciences, Czech Technical University, Prague, Czech Republic

Abstract: We extend our recent results on the Bethe vectors for the $RTT$-algebra of $sp(4)$ type. We show how the Bethe vectors can be rewritten in a different form similar to the trace formula for the Bethe vectors of the $RTT$-algebra of the $gl(3)$ type..

Keywords: $RTT$-algebras, nested Bethe ansatz, Bethe vectors, trace formula.

Received: 23.11.2021
Revised: 11.01.2022

DOI: 10.4213/tmf10208