Overlaps and fermionic dualities for integrable super spin chains.

Autor:	Kristjansen, Charlotte, Müller, Dennis, Zarembo, Konstantin
Předmět:	DYNKIN diagrams LIE algebras OPERATOR functions ALGEBRA LIE superalgebras CONFORMAL field theory
Zdroj:	Journal of High Energy Physics; Mar2021, Vol. 2021 Issue 3, p1-27, 27p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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