B. P. Kosyakov
Recently Bandos, Lechner, Sorokin, and Townsend [arXiv:2007.09092] have discovered that Maxwell's electrodynamics can be generalized so that the resulting nonlinear theory preserves both conformal invariance and SO(2) duality-rotation invariance. Their result can be derived in a simpler way.
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On the effective lagrangian in spinor electrodynamics with added violation of Lorentz and CPT symmetries
我们考虑的自旋场的时空独立的轴向矢量违反洛伦兹和CPT对称性的额外耦合的量子电动力学。Fock-Schwinger真时方法用于计算轴向矢量中的二阶和与时空无关的电磁场强度中的所有阶的单圈有效作用量。我们发现，陈-西蒙斯项不是辐射诱导的，有效作用量是CPT不变的在给定的近似。
We examine three versions of non-relativistic electrodynamics, known as the electric and magnetic limit theories of Maxwell's equations and Galilean electrodynamics (GED) which is the off-shell non-relativistic limit of Maxwell plus a free scalar field. For each of these three cases we study the couplings to non-relativistic dynamical charged matter (point particles and charged complex scalars). The GED theory contains besides the electric and magnetic potentials a so-called mass potential making the mass parameter a local function. The electric and magnetic limit theories can be coupled to tw…
Revisiting the Symmetries of Galilean Electrodynamics
本文研究四种理论的对称性，纠正了旧结果，指出伽利略电动力学在任意维度下具有无限维对称性，且在3+1维中对应扩展的共形Milne代数。
New approach to nonlinear electrodynamics: dualities as symmetries of interaction
我们详细阐述了对偶对称的非线性电动力学在一个新的提法与辅助张量场。麦克斯韦场强度只出现在相应的一般拉格朗日双线性项，而自相互作用是由一个函数E取决于辅助场。两种类型的非线性电动力学模型中固有的对偶承认一个简单的壳外表征在此功能。在标准公式中，连续的U（1）对偶对称性是在麦克斯韦场强上非线性实现的。在新的设置中，相同的对称性充当辅助场变量的线性U（1）变换。证明了非线性U（1）对偶条件等价于自相互作用E的线性U（1）不变性。离散的自对偶（或勒让德变换的自对偶）相当于E的较弱的反射对称性。对于一类对偶对称拉格朗日量，我们引入了一个辅助标量场的替代表示，并找到了新的显式例子。
Galilean Conformal Electrodynamics
麦克斯韦的电动力学承认两个截然不同的伽利略极限，称为电磁极限。我们表明，在这两个限制的运动方程是不变的伽利略共形代数在D = 4，从而表现出非相对论性的共形对称。值得注意的是，对称性是无限维的，因此伽利略电动力学给我们的第一个例子，一个无限扩展的伽利略共形场论在D> 2。我们通过纯粹的非相对论保形方法来研究理论的细节，并使用相对论理论的极限输入。
Chern-Simons Violation of Lorentz and PCT Symmetries in Electrodynamics
综述了最近提出的电磁场的Lorentz-PCT非不变修正。他们的实验结果进行了描述，有人认为，现有的数据果断地排除了它们在自然界中的发生。
We study higher-form symmetries in a low-energy effective theory of a massless axion coupled with a photon in $(3+1)$ dimensions. It is shown that the higher-form symmetries of this system are accompanied by a semistrict 3-group (2-crossed module) structure, which can be found by the correlation functions of symmetry generators of the higher-form symmetries. We argue that the Witten effect and anomalous Hall effect in the axion electrodynamics can be described in terms of 3-group transformations.
Electrodynamics with violations of Lorentz and U(1) gauge symmetries and their Hamiltonian structure
本文在标准模型扩展中考察 d≤4 的 Lorentz 与 U(1) 破缺电动力学，通过一般二次作用量分析 Hamiltonian 约束，指出规范不变的 Lorentz 破缺不增加自由度，而 U(1) 破缺会消除第一类约束并新增一个物理自由度。
We study non-invertible global symmetries in $(3+1)$-dimensional axion electrodynamics with a massless axion and a massless photon. In addition to a previously known non-invertible 0-form shift symmetry of the axion, we find a non-invertible 1-form symmetry associated with the equation of motion for the photon. Correlation functions of non-invertible symmetry defects lead to invertible 1- and 2-form symmetry defects associated with Bianchi identities for the axion and photon. In terms of the correlation functions, we discuss several phenomena for extended objects, such as induced fractional el…
Symmetries and solutions of field equations of axion electrodynamics
对具有任意自相互作用的轴子电动力学模型进行了分类。结果表明，这些模型的基本庞加莱不变性的扩展只出现在常数和指数的相互作用。讨论了相关的守恒律。利用Inönü-Wigner压缩，找到了轴子电动力学方程的非相对论极限，得到了电磁场和轴子场的一类推广的精确解。其中有解决方案，包括多达六个任意功能。特别地，我们找到了描述以比光速更快的速度传播的解，这些解是光滑的有界函数，对应于正定的有界能量密度。
We study higher-form global symmetries and a higher-group structure of a low-energy limit of $(3+1)$-dimensional axion electrodynamics in a gapped phase described by a topological action. We argue that the higher-form symmetries should have a semi-strict 4-group (3-crossed module) structure by consistency conditions of couplings of the topological action to background gauge fields for the higher-form symmetries. We find possible 't Hooft anomalies for the 4-group global symmetry, and discuss physical consequences.
Symmetries and Conservation Laws in Lie-Poisson Electrodynamics
研究李-泊松电动力学，通过非平凡场重定义将其动力学映射到麦克斯韦理论，据此由麦克斯韦作用量对称性构造李-泊松电动力学对称性生成元和守恒流，还给出自然量子化方法。
A new representation of the scalar electrodynamics is discovered which gives a more redundant description of electromagnetic theory and suitable to construct an appropriate matter action which contains two global symmetries . The symmetries of the model when localized by gauge principle , provides a co-variant fracton gauge theory.
In this thesis, we aim to find the asymptotic symmetries of the Kalb-Ramond field in four dimensions at future null infinity. We start by reviewing the asymptotic symmetries of electrodynamics in four-dimensional Minkowski spacetime at future null infinity. We continue by investigating the asymptotic symmetries of the Kalb-Ramond field at future null infinity. We motivate the fall-off conditions by demanding the finiteness of energy, momentum, angular momentum and charge flux through future null infinity. We expand the gauge fields in ``radial" and Lorenz gauge and compute the generating charg…
We investigate the asymptotic symmetry group of a scalar field minimally-coupled to an abelian gauge field using the Hamiltonian formulation. This extends previous work by Henneaux and Troessaert on the pure electromagnetic case. We deal with minimally coupled massive and massless scalar fields and find that they behave differently insofar as the latter do not allow for canonically implemented asymptotic boost symmetries. We also consider the abelian Higgs model and show that its asymptotic canonical symmetries reduce to the Poincaré group in an unproblematic fashion.
Selection rules of topological solitons from non-invertible symmetries in axion electrodynamics
该研究探讨了轴子电动力学中非可逆对称性如何决定拓扑孤子（如轴子畴壁和磁弦）的选择规则，并给出了磁单极子存在下的约束，以及磁弦与轴子弦链接构型的新限制。
We introduce an effective action for non-dissipative magnetohydrodynamics. A crucial guiding principle is the generalized global symmetry of electrodynamics, which naturally leads to introducing a "dual photon" as the degree of freedom responsible for the electromagnetic component of the fluid. The formalism includes additional degrees of freedom and symmetries which characterize the hydrodynamic regime. By suitably enhancing one of the symmetries, the theory becomes force-free electrodynamics. The symmetries furthermore allow to systematize local and non-local conserved helicities. We also di…
We investigate a higher-group structure of massless axion electrodynamics in $(3+1)$ dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit 't Hooft anomalies of the 3-group. In particular, we find a cubic mixed 't Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.
Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model
研究了经典电动力学的时空对称性，并补充了包含常数非动力学4-矢量的陈-西蒙斯项。除了平移不变性和预期的三个剩余的洛伦兹对称性外，如果非动力学矢量是类光的，则模型具有额外的时空对称性。确定了与这种不变性有关的守恒电流，并将这种不变性和通常的小群ISO（2）所产生的对称结构确定为SIM（2）。
Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics
研究场依赖度量与高阶形式对称性在双刃不变非线性电动力学理论中的关系，探讨电与磁1形式全局对称性的分析及保守电流的对应关系。
We study higher-form symmetries and a higher group in the low energy limit of a $(3+1)$-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the axion-photon coupling, which we call a topological axion electrodynamics, is obtained in the low energy limit. Higher-form symmetries of the topological axion electrodynamics are specified by equations of motion and Bianchi identities. We find that there are induced anyons on the intersections of symmetry generators. By a link of worldlines of the anyons, we sho…
The Carrollian limit of ModMax electrodynamics
本研究针对ModMax电动力学的光速为零Carrollian极限，通过Lie点对称分析发现磁性极限含Carrollian群、时间局部平移等对称，张成2级共形Carroll代数并保留共形与对偶变换内部对称。
Asymptotic symmetry and confinement in three-dimensional QED
本文研究三维QED的渐近对称性，证明在禁闭假设下其对渐近态作用平凡。
Source-free so-called ModMax theories of nonlinear electrodynamics in the four dimensional Minkowski spacetime vacuum are the only possible continuous deformations -- and as a function of a single real and positive parameter -- of source-free Maxwell linear electrodynamics in the same vacuum, which preserve all the same Poincaré and conformal spacetime symmetries as well as the continuous duality invariance of Maxwell's theory. Null field configurations of the latter however, including null electromagnetic knots, are singular for the Lagrangian formulation of any spacetime Poincaré and conform…
Axial anomaly in nonlinear conformal electrodynamics
本文在具有对偶变换不变性的非线性共形电动力学与 Einstein 引力耦合框架下，研究了引力瞬子背景上 Dirac 旋量的轴反常，通过计算非线性带电 Eguchi-Hanson 和 Taub-NUT 构型的 Dirac 指数，发现正手征费米子过剩引发了反常。
We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be straightforwardly imposed, leading to a simple formulation for theories with the $SO(2)$ duality invariance. When specialized to the conformally invariant case, our construction provides a manifestly duality-symmetric formulation of the recently discovered ModMax theory. We briefly comment on a natural generalization of this approach to $p$-forms in $2p+2$ dimensio…
We consider $(p+1)$-form gauge fields in flat $(2p+4)$-dimensions for which the radiation and the Coulomb solutions have the same asymptotic falloff behavior. Imposing appropriate falloff behavior on fields and adopting a Maxwell-type action, we construct the boundary term which renders the action principle well-defined in the Lorenz gauge. We then compute conserved surface charges and the corresponding asymptotic charge algebra associated with nontrivial gauge transformations. We show that for $p\geq 1$ cases we have three sets of conserved asymptotic charges associated with exact, coexact an…
We consider the nonlinearly extended Einstein-Maxwell-axion theory, which is based on the account for two symmetries: first, the discrete symmetry associated with the properties of the axion field, second, the Jackson's symmetry, prescribing to the electrodynamics to be invariant with respect to the rotation in the plane coordinated by the electric and magnetic fields. We derive the master equations of the nonlinearly extended theory, and apply them to the Bianchi-I model with magnetic field. The main result, describing the behavior of the nonlinearly coupled axion, electromagnetic and gravita…
Kerr rotation signature of nonlinear Maxwell electrodynamics under a uniform electromagnetic background
研究非线性Maxwell电动力学在均匀电磁背景下的Kerr旋转特征，探讨其光学效应与参数关系。
Bi-refringence versus bi-metricity
在这篇文章中，我们仔细区分了双折射（光子传播速度的偏振相关加倍）和双度量（其中两个光子偏振“看到”两个不同的度量）的概念。我们强调，这些概念在逻辑上是不同的，虽然有特殊的对称性，在普通的（3+1）维非线性电动力学，这意味着更强的条件双度量。为了说明这一现象，我们研究了（3+1）维非线性电动力学的广义版本，它允许包含任意的不均匀性和背景场。[For例如，引力场（a la Gordon）、导体（a la Casimir）和引力场（a la Landau-Lifshitz）。很容易证明广义理论是双线性的：在（3+1）维中，频率和波数之间的关系菲涅耳方程总是四次的。在某些情况下（例如，普通的非线性电动力学），四次函数分解成两个二次函数，从而提供了一个双度量理论，这是有点困难的。有时四次曲线是一个完美的平方，意味着一个唯一的有效度量。我们调查这个因式分解过程的一般性。
Remarks on local symmetry invariance in perturbative algebraic quantum field theory
在微扰代数量子场论（pAQFT）的框架下，我们研究了局部对称性下的不变性的各个方面。我们的主要结果是证明了量子Batalin-Vilkovisky（BV）算子，在壳层上，可以写为交换子与相互作用的BRST电荷。到目前为止，这只在量子电动力学和杨-米尔斯理论中的某一类场中得到了证明。我们的结果是更一般的，它适用于广泛的理论与局部对称性，包括广义相对论和玻色弦。我们还评论了其他有关的问题，当地的规范不变性，并使用语言的同调代数，我们比较不同的方法来量化的规范理论的pAQFT框架。
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