Overlaps and fermionic dualities for integrable super spin chains

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The psu(2, 2|4) 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.

Original languageEnglish
Article number100
JournalJournal of High Energy Physics
Volume2021
Issue number3
Number of pages27
ISSN1029-8479
DOIs
Publication statusPublished - 9 Mar 2021

    Research areas

  • Bethe Ansatz, Lattice Integrable Models, Integrable Field Theories, Brane Dynamics in Gauge Theories

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