标题： 代码共形场理论和拓扑物质 显示英文标题

标题： Code CFTs and Topological Matter

摘要： 在本文中，我们提出了一种新的框架，用于使用基于代码的Narain共形场理论（NCFTs）对物质的拓扑相进行建模。 我们表明，NCFTs的代数结构自然地嵌入到临界格点量子场理论中，产生出具有非零陈数的无能隙费米系统特有的涌现拓扑特征。 我们开发了基于代码CFT的构造A的新表示形式，该形式以李代数的根格和权格为基础，特别关注SU(2)和SU(3)。 然后，我们推导出占据格点的粒子态谱，并借助费米化技术，证明其包含类似于紧束缚系统的狄拉克锥的费米激发，即在蜂窝几何上量子反常霍尔效应的哈德纳模型。 显示英文摘要

摘要： In this paper, we propose a novel framework for modeling topological phases of matter using code-based Narain conformal field theories (NCFTs). We show that the algebraic structure of the NCFTs naturally embeds into critical lattice quantum field theory, yielding emergent topological features characteristic of gapless fermionic systems with non-zero Chern numbers. We develop a new representation of construction A of code CFT in terms of root and weight lattices of Lie algebras, focusing in particular on SU(2) and SU(3). We then derive the spectrum of particle states occupying the lattice and, with the help of fermionisation techniques, demonstrate that it hosts fermionic excitations with Dirac cones akin to tight binding systems namely the Haldane model of quantum anomalous hall effect on a honeycomb geometry.