2023/11/08 by Tamás Gombor, Gombor, Tamas
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2311.04870
openalex publication_date 2023/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We find closed formulas for the overlaps of Bethe eigenstates of \mathfrakgl(N) symmetric spin chains and integrable boundary states. We derive the general overlap formulas for \mathfrakgl(M)⊕\mathfrakgl(N-M) symmetric boundary states and give a well-established conjecture for the \mathfraksp(N) symmetric case. Combining these results with the previously derived \mathfrakso(N) symmetric formula, now we have the overlap functions for all integrable boundary states of the \mathfrakgl(N) spin chains which are built from two-site states. The calculations are independent from the representations of the quantum space therefore our formulas can be applied for the SO(6) and the alternating SU(4) spin chains which describe the scalar sectors of N=4 super Yang-Mills and ABJM theories which are important application areas of our results.