S. S. Chern和Chern-Simons项

S-duality resurgence in SL(2) Chern-Simons theory

We find that an S-duality in SL(2) Chern-Simons theory for hyperbolic 3-manifolds emerges by the Borel resummation of a semiclassical expansion around a particular flat connection associated to the hyperbolic structure. We demonstrate it numerically with two representative examples of hyperbolic 3-manifolds.

A resurgence analysis of the $SU(2)$ Chern-Simons partition functions on a Brieskorn homology sphere $Σ(2,5,7)$

We perform a resurgence analysis of the $SU(2)$ Chern-Simons partition function on a Brieksorn homology sphere $Σ(2,5,7)$. Starting from an exact Chern-Simons partition function, we study the Borel resummation of its perturbative expansion.

高维Chern-Simons模型中的规范守恒律

Gauge conservation laws in higher-dimensional Chern-Simons models

作为规范非不变的，一个Chern-Simons（2k-1）-形式被看作是（2k-1）维流形上规范理论的拉格朗日量，导致了一个修正的Noether流的规范守恒定律。

关于精炼陈-西蒙斯理论中普遍性的一则注记

A note on universality in refined Chern-Simons theory

本文探讨了陈-西蒙斯理论中普遍性的精炼形式，指出原始普遍性适用于任意简单李群，而精炼理论中则限制于单列李群。

高维Chern-Simons模型中的能量动量守恒律

Energy-momentum conservation laws in higher-dimensional Chern-Simons models

虽然陈-西蒙斯（2k-1）形式不是规范不变的，它依赖于背景联系，但这种形式被看作是（2k-1）维流形上规范理论的拉格朗日量，导致能量-动量守恒定律。

基于（2-）交叉模的高阶陈–西蒙斯理论

Higher Chern-Simons based on (2-)crossed modules

该研究利用（2-）交叉模和广义微分演算构造高阶陈–西蒙斯理论，建立广义联络、陈–西蒙斯作用量及高阶第二陈形式与陈–韦伊定理。

Relativistic Chern--Simons--Higgs Vortex Equations

An existence theorem is established for the solutions to the non-Abelian relativistic Chern--Simons--Higgs vortex equations over a doubly periodic domain when the gauge group $G$ assumes the most general and important prototype form, $G=SU(N)$

Chern-Simons-CP（1）模型中的奇异孤子解

Singular soliton solution in the Chern-Simons-CP(1) model

我们证明了当磁场为Dirac δ时，Chern-Simons-CP（1）模型可以支持奇异孤子解.

拓扑大质量引力与复Chern-Simons项

Topologically massive gravity and complex Chern-Simons terms

这篇论文被撤回，因为它的结果已经在arxiv hep-th/0507200中报道过。

The Chern-Simons-Higgs and the Chern-Simons-Dirac equations in Fourier-Lebesgue spaces

The Chern-Simons-Higgs and the Chern-Simons-Dirac systems in Lorenz gauge are locally well-posed in suitable Fourier-Lebesgue spaces $\hat{H}^{s,r}$. Our aim is to minimize $s=s(r)$ in the range $1<r \le 2$ . If $r \to 1$ we show that we almost reach the critical regularity dictated by scaling. In the classical case $r=2$ the results are due to Huh and Oh. Crucial is the fact that the decisive quadratic nonlinearities fulfill a null condition.

Riemann曲面上的自对偶Chern-Simons涡

Self-dual Chern-Simons Vortices on Riemann Surfaces

研究了弯曲时空背景下Chern-Simons Higgs理论的自对偶多涡解。证明了解的存在性和衰减性。

规范化与陈-西蒙斯规范理论的约简

Quantization Commutes with Reduction of Chern-Simons Gauge Theory

本文在陈-西蒙斯规范理论中证明了规范化与约简的无穷维版本，利用复分析和Atiyah-Bott堆栈进行证明。

物理-数学相互作用：陈-西蒙斯的故事

Physico--Mathematical Interactions: The Chern--Simons Story

陈-西蒙斯项在各种物理模型中所起的重要作用，又一次说明了这两个学科之间意想不到但意义深远的相互作用。

三维Chern-Simons和BF理论

Three-Dimensional Chern-Simons and BF Theories

本文的目的是阐明协变的陈-西蒙斯三维理论与Schwartz型拓扑场论（也称为BF理论）之间的关系。

Existence of solutions to relativistic non-Abelian Chern-Simons-Higgs vortex equations on graphs

Let $G=(V,E)$ be a connected finite graph. We study the relativistic non-Abelian Chern-Simons-Higgs vortex equations on the graph $G$. We establish an existence result to the relativistic non-Abelian Chern-Simons-Higgs vortex equations.

Cheeger-Chern-Simons theory and differential String classes

We introduce certain relative differential characters which we call Cheeger-Chern-Simons characters. These combine the well-known Cheeger-Simons characters with Chern-Simons forms. In the same way as the Cheeger-Simons characters generalize Chern-Simons invariants of oriented closed manifolds, the Cheeger-Chern-Simons characters generalize Chern-Simons invariants of oriented manifolds with boundary. Using Cheeger-Chern-Simons characters, we introduce the notion of differential trivializations of universal characteristic classes. Specializing to the class 1/2 $p_1 \in H^4(B\mathrm{Spin}_n;\math…

辛量子力学与Chern-Simons规范理论II：Tori的映射Tori

Symplectic Quantum Mechanics and Chern-Simons Gauge Theory II: Mapping Tori of Tori

我们计算的配分函数使用两种不同的拉格朗日函数：陈-西蒙斯功能和辛作用泛函的半经典公式。

Lorenz规范下Chern-Simons-Dirac和Chern-Simons-Higgs方程的低正则解

Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge

本文研究了Lorenz规范下Chern-Simons-Dirac（CSD）和Chern-Simons-Higgs（CSH）方程在低正则性初值下的局部适定性问题.我们的主要贡献之一是发现了（CSD）的一个空结构。结合$X^{s,b}$空间的标准机制，我们得到了（CSD）对于初始数据$a_μ, ψ\in H^{1/4+ε}_{x}$的局部适定性.此外，观察到应用于（CSH）的相同技术导致初始数据$a_μ \in H^{1/4+ε}_{x}$，$(ϕ, \partial_{t} ϕ) \in H^{3/4+ε}_{x} \times H^{-1/4+ε}_{x}$的局部适定性的快速证明，这改进了Selberg-Tesfahun（2012）的先前结果。

电子液体拓扑化的Chern-Simons理论和量子计算

Topologization of electron liquids with Chern-Simons theory and quantum computation

讨论了量子拓扑、量子物理和量子计算之间的联系。

A one-loop exact quantization of Chern-Simons theory

We examine Chern-Simons theory as a deformation of a 3-dimensional BF theory that is partially holomorphic and partially topological. In particular, we introduce a novel gauge that leads naturally to a one-loop exact quantization of this BF theory and Chern-Simons theory. This approach illuminates several important features of Chern-Simons theory, notably the bulk-boundary correspondence of Chern-Simons theory with chiral WZW theory. In addition to rigorously constructing the theory, we also explain how it applies to a large class of closely related 3-dimensional theories and some of the conse…

SU（2）规范势的旋量分解及Chern-Simons和Chern密度的旋量结构

Spinor Decomposition of SU(2) Gauge Potential and The Spinor Structures of Chern-Simons and Chern Density

本文研究了SU（2）规范势的泡利旋量分解。利用这种分解，得到了Chern-Simons形式的旋量结构和Chern密度。利用这些旋量结构，讨论了非阿贝尔规范理论的纽结量子数，并用$ϕ$ -映射的Hopf指数和Brouwer度刻画了第二陈数.

Generalized Chern-Simons action principles for gravity

Generalized differential forms are employed to construct generalized connections. Lorentzian four-metrics determined by certain of these connections satisfy Einstein's vacuum field equations when the connections are flat. Generalized Chern-Simons action principles with Einstein's equations as Euler-Lagrange equations are constructed by using these connections.

Abel Chern-Simons理论的局部化

Localization in Abelian Chern-Simons Theory

研究了闭切触三流形上的Chern-Simons理论，当规范变换的李群是紧的、连通的和交换的。利用Faddeev-Popov规范固定方法，导出了阿贝尔Chern-Simons配分函数的严格定义.利用非阿贝尔局部化技术，得到了辛阿贝尔Chern-Simons配分函数.这在物理上将辛阿贝尔配分函数与阿贝尔陈-西蒙斯配分函数等同为严格的拓扑三流形不变量。这项研究导致了一个自然的识别阿贝尔Reidemeister-Ray-Singer挠作为一个特定的倍数的自然单位辛体积形式的模空间的平坦阿贝尔联络类的Sasakian三流形。对于给定的Sasakian三流形，用Seifert数据计算了阿贝尔Chern-Simons配分函数的挠率部分.