Overlaps and fermionic dualities for integrable super spin chains

Journal of High Energy Physics

Charlotte Kristjansen¹  Konstantin Zarembo¹  Dennis Müller² 

[1] Niels Bohr Institute, Copenhagen University;Nordita, KTH Royal Institute of Technology and Stockholm University;

关键词: Bethe Ansatz;    Lattice Integrable Models;    Integrable Field Theories;    Brane Dynamics in Gauge Theories;   

DOI  :  10.1007/JHEP03(2021)100

来源: DOAJ

【 摘 要 】

Abstract The psu 2 2 4 $$ \mathfrak{psu}\left(2,\left.2\right|4\right) $$ integrable super spin chain underlying the AdS/CFT correspondence has integrable boundary states which describe set-ups where k D3-branes get dissolved in a probe D5-brane. Overlaps between Bethe eigenstates and these boundary states encode the one-point functions of conformal operators and are expressed in terms of the superdeterminant of the Gaudin matrix that in turn depends on the Dynkin diagram of the symmetry algebra. The different possible Dynkin diagrams of super Lie algebras are related via fermionic dualities and we determine how overlap formulae transform under these dualities. As an application we show how to consistently move between overlap formulae obtained for k = 1 from different Dynkin diagrams.

【 授权许可】

Unknown