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Supergravity model of the Haldane-Rezayi fractional quantum Hall state

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Title
Supergravity model of the Haldane-Rezayi fractional quantum Hall state
Author(s)
Dung Xuan Nguyen; Prabhu, K.; Balram, A.C.; Gromov, A.
Publication Date
2023-03
Journal
Physical Review B, v.107, no.12
Publisher
American Physical Society
Abstract
Supersymmetry and supergravity were invented in the 1970s to solve fundamental problems in high-energy physics. Even though neither of these ideas has yet been confirmed in high-energy and cosmology experiments, they have been beneficial in constructing numerous theoretical models including superstring theory. Despite the absence of supersymmetry in particle physics, it can potentially emerge in exotic phases of strongly correlated condensed matter systems. In this paper, we propose a supergravity model that describes the low-energy physics of the Haldane-Rezayi state, a gapless quantum Hall state that occurs in a half-filled Landau level. We show that the corresponding edge modes of the Haldane-Rezayi state and the Girvin-MacDonald-Platzman algebra appear naturally in the supergravity model. Finally, we substantiate our theoretical findings with numerical exact diagonalization calculations that support the appearance of the emergent graviton and gravitino excitations in the Haldane-Rezayi state. © 2023 American Physical Society.
URI
https://pr.ibs.re.kr/handle/8788114/13182
DOI
10.1103/PhysRevB.107.125119
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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