par Salgado-Rebolledo, Patricio;Palumbo, Giandomenico
Référence Physical Review D, 103, 12, 125006
Publication Publié, 2021-06
Article révisé par les pairs
Résumé : Motivated by the recent progresses in the formulation of geometric theories for the fractional quantum Hall states, we propose a novel nonrelativistic geometric model for the Laughlin states based on an extension of the Nappi-Witten geometry. We show that the U(1) gauge sector responsible for the fractional Hall conductance, the gravitational Chern-Simons action and Wen-Zee term associated to the Hall viscosity can be derived from a single Chern-Simons theory with a gauge connection that takes values in the extended Nappi-Witten algebra. We then provide a new derivation of the chiral boson associated to the gapless edge states from the Wess-Zumino-Witten model that is induced by the Chern-Simons theory on the boundary.