Work

On exact overlaps of integrable matrix product states: inhomogeneities, twists and dressing formulas

Year: 2025

Type: article

Abstract: A bstract Invoking a quantum dressing procedure as well as the representation theory of twisted Yangians we derive a number of summation formulas for the overlap between integrable matrix product states and Bethe eigenstates which involve only eigenvalues of fused transfer matrices and which are valid in the presence of inhomogeneities as well as twists. Although the method is general we specialize to the SO(6) spin chain for which integrable matrix product states corresponding to evaluation representations of the twisted Yangian Y + (4) encode the information about one-point functions of the D3-D5 domain wall version of $$ \mathcal{N} $$ N = 4 SYM. Considering the untwisted and homogeneous limit of our summation formulas we finally fill the last gap in the analytical understanding of the overlap formula for the SO(6) sector of the D3-D5 domain wall system.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2025)100

Authors: Tamas Gombor, Charlotte Kristjansen, Vasileios Moustakis, Xin Qian

Institutions: Eötvös Loránd University, HUN-REN Wigner Research Centre for Physics, University of Copenhagen, University of Surrey

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: China Scholarship Council, Southeast University, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Science and Technology Facilities Council

Award: STFC Surrey Maths 2022 DTP