Abstract:
We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed in terms of a bilinear combination of their highest coefficients. We obtain various different representations for the highest coefficient in terms of sums over partitions. We also obtain multiple integral representations for the highest coefficient.
The work of S P was supported in part by RFBR grant 11-01-00980-a, a grant of the Scientific Foundation of NRU HSE 12-09-0064 and a grant of FAST RF 14.740.11.0347. E R was supported by ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). N A S was supported by the Program of RAS Basic Problems of the Nonlinear Dynamics, RFBR-11-01-00440, RFBR-11-01-12037-ofi-m, SS-4612.2012.1.
Received: 05.07.2012 Accepted: 12.08.2012
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Language: English
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