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 -