论文标题
带有SU（$ n $）旋转对称性的耗散性tomonaga-luttinger液体的通用描述：精确的光谱和关键指数
Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
论文作者
论文摘要
通过使用渐近的伯特·贝塞 - 阿萨茨溶液（CFT）在一维非高素质量子量化的多体系统中，通过使用渐近的伯特·萨茨溶液（CFT），可以在fermions and Bosons（$ n $）旋转对称性的耗散性比例关系（tl）液体（tl）液体（tl）液体（$ n $）旋转对称性。我们发现，具有SU（$ n $）旋转对称性的耗散性TL液体的频谱由一个充电模式的总和来描述，其特征是$ C = 1 $ u（1 $ u（1）高斯CFT的复杂概括，$ n-1 $ spin模式和由级别的$ 1 $ $ $ n $ $ $ n $ a $ coldem $ coldorm $ c = n-1-1 $ c = n-1-1一维非及量子系统中自旋荷利分离的结果。该派生基于对Haldane的理想生气描述的复杂概括，该描述由SU（$ n $）Calogero-Sutherland模型实现，具有逆方面的长距离交互。
Universal scaling relations for dissipative Tomonaga-Luttinger (TL) liquids with SU($N$) spin symmetry are obtained for both fermions and bosons, by using asymptotic Bethe-ansatz solutions and conformal field theory (CFT) in one-dimensional non-Hermitian quantum many-body systems with SU($N$) symmetry. We uncover that the spectrum of dissipative TL liquids with SU($N$) spin symmetry is described by the sum of one charge mode characterized by a complex generalization of $c=1$ U(1) Gaussian CFT, and $N-1$ spin modes characterized by level-$1$ SU($N$) Kac-Moody algebra with the conformal anomaly $c=N-1$, and thereby dissipation only affects the charge mode as a result of spin-charge separation in one-dimensional non-Hermitian quantum systems. The derivation is based on a complex generalization of Haldane's ideal-gas description, which is implemented by the SU($N$) Calogero-Sutherland model with inverse-square long-range interactions.
