Entanglement entropies of minimal models from null-vectors

Dupic, Thomas; Estienne, Benoit; Ikhlef, Yacine

doi:10.21468/SciPostPhys.4.6.031

SciPost Physics

Entanglement entropies of minimal models from null-vectors

Thomas Dupic, Benoit Estienne, Yacine Ikhlef

SciPost Phys. 4, 031 (2018) · published 18 June 2018

doi: 10.21468/SciPostPhys.4.6.031
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Abstract

We present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The latter are then determined by standard bootstrap techniques. We apply this method to the calculation of various R\'enyi entropies in the non-unitary Yang-Lee model.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.4.6.031
TI  - Entanglement entropies of minimal models from null-vectors
PY  - 2018/06/18
UR  - https://scipost.org/SciPostPhys.4.6.031
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 4
IS  - 6
SP  - 031
A1  - Dupic, Thomas
AU  - Estienne, Benoit
AU  - Ikhlef, Yacine
AB  - We present a new method to compute R\'enyi entropies in one-dimensional critical systems. The null-vector conditions on the twist fields in the cyclic orbifold allow us to derive a differential equation for their correlation functions. The latter are then determined by standard bootstrap techniques. We apply this method to the calculation of various R\'enyi entropies in the non-unitary Yang-Lee model.
ER  -

@Article{10.21468/SciPostPhys.4.6.031,
	title={{Entanglement entropies of minimal models from null-vectors}},
	author={Thomas Dupic and Benoit Estienne and Yacine Ikhlef},
	journal={SciPost Phys.},
	volume={4},
	pages={031},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.4.6.031},
	url={https://scipost.org/10.21468/SciPostPhys.4.6.031},
}

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Ontology / Topics

See full Ontology or Topics database.

2d minimal models Conformal bootstrap Entanglement entropy Orbifolds Rényi entropy Twist fields Yang-Lee model

Authors / Affiliation: mappings to Contributors and Organizations

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¹ Laboratoire de Physique Théorique et Hautes Energies / Laboratory of Theoretical and High Energy Physics [LPTHE]