Entanglement entropies of minimal models from null-vectors

Thomas Dupic (1) , Benoit Estienne (1) , Yacine Ikhlef (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We present a new method to compute R\'enyi entropies in one-dimensionalcritical systems. The null-vector conditions on the twist fields in the cyclicorbifold allow us to derive a differential equation for their correlationfunctions. The latter are then determined by standard bootstrap techniques. Weapply this method to the calculation of various R\'enyi entropies in thenon-unitary Yang-Lee model.

Mots clés: entropy: entanglement; model: minimal; dimension: 1; differential equations; correlation function; bootstrap; orbifold; Lee-Yang model; twist

Domaines: Physique mathématique [math-ph]; Physique Générale [physics.gen-ph]; Physique des Hautes Energies - Théorie [hep-th]

Thomas Dupic, Benoit Estienne, Yacine Ikhlef. Entanglement entropies of minimal models from null-vectors. SciPost Phys., 2018, 4 (6), pp.031. ⟨10.21468/SciPostPhys.4.6.031⟩. ⟨hal-01823267⟩