论文标题
Haldane-Rezayi分数量子厅状态的超级重力模型
Supergravity model of the Haldane-Rezayi fractional quantum Hall state
论文作者
论文摘要
1970年代发明了超对称性和超级重力，以解决高能物理学的基本问题。即使在高能和宇宙学实验中尚未证实这两种想法，但它们在构建包括超弦理论在内的众多理论模型方面都是有益的。尽管粒子物理学中没有超对称性，但它仍可能在密切相关的冷凝物质系统的外来阶段出现。在本文中，我们提出了一个超级重力模型，描述了Haldane-Rezayi State的低能物理学，Haldane-Rezayi State是一个在半充满的Landau水平上发生的无间隙量子厅状态。我们表明，在超级重力模型中，Haldane-Rezayi状态和Girvin-Macdonald-Platzman代数的相应边缘模式自然出现。最后，我们通过数值精确的对角线化计算来证实我们的理论发现，这些计算支持霍尔丹 - 雷扎伊态在Haldane-Rezayi状态下出现的重力和重力激发的出现。
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.
