Overlaps and fermionic dualities for integrable super spin chains
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Overlaps and fermionic dualities for integrable super spin chains. / Kristjansen, Charlotte; Muller, Dennis; Zarembo, Konstantin.
I: Journal of High Energy Physics, Bind 2021, Nr. 3, 100, 09.03.2021.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Overlaps and fermionic dualities for integrable super spin chains
AU - Kristjansen, Charlotte
AU - Muller, Dennis
AU - Zarembo, Konstantin
PY - 2021/3/9
Y1 - 2021/3/9
N2 - 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.
AB - 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.
KW - Bethe Ansatz
KW - Lattice Integrable Models
KW - Integrable Field Theories
KW - Brane Dynamics in Gauge Theories
U2 - 10.1007/JHEP03(2021)100
DO - 10.1007/JHEP03(2021)100
M3 - Journal article
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 3
M1 - 100
ER -
ID: 259825799