Talk (non-conference) (Invited)

PUBDB-2021-01358

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Density of states for an integrable spin chain

Kotoousov, G. (Corresponding author)DESY*

2021

Abstract: The focus of the talk is a certain critical 1D quantum spin chain that lies within the integrability class of a staggered six-vertex model. In the scaling limit the spin chain exhibits a continuous spectrum of conformal dimensions, which is characterised by a density of states. The latter was determined in the recent work arXiv:2010.10613. It turns out to involve the eigenvalues of a non-local integral of motion, the so-called reflection operator, from the quantum AKNS integrable structure. Apart from recounting the relevant results of that paper, I will briefly discuss their applications to the study of the non-compact CFT whose target space is the 2D Euclidean black hole (Hamilton’s cigar).

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. EXC 2121 - Das Quantisierte Universum (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2021

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