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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.
Forward citations
Cited by 2 Pith papers
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Monodromy defects in ABJM theory and integrability
Monodromy defects in ABJM theory are integrable boundary states, and their leading one-point functions are given by a closed overlap formula.
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Integrable matrix product state of ABJM theory from projecting method
This paper classifies projected K-matrix solutions and uses them to propose integrable matrix product states for the ABJM spin chain.
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