Soft Black Hole Absorption Rates as Conservation Laws

Conservation Laws in Gravitation and Cosmology

The existence of conservation laws is one of the most important requirement of physical theories. Some of them, like energy conservation, knows no experimental exception. However, the generalization of these conservation laws to curved space presents many challenges. The implementation of conservation laws in the General Relativity theory is revised, and the possibility of the generalization of the usual expression is discussed. The Rastall's theory of gravity, which considers a modification of the usual conservation of the energy-momentum tensor, is discussed in more detail. Some applications…

正则对称性与哈密顿形式。I.守恒律

The Canonical Symmetry and Hamiltonian Formalism. I. Conservation Laws

研究了非线性薛定谔方程的正则对称性。该系统的局部守恒律密度的正则对称性的作用下，由总空间导数的变化。

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。

规范对称性破缺规范理论中的能量动量守恒定律

Energy-momentum conservation laws in gauge theory with broken gauge symmetries

如果内对称性的规范理论的拉格朗日量不是规范不变的，则能量动量一般不能守恒。

N= 1，2超对称KdV方程的非局部守恒律

Nonlocal conservation laws in N=1,2 Supersymetric KdV equation

本文证明了N=1超对称KdV方程的\nl \cls与其Lax算子的四次根的幂以一种简单的方式有关.这提供了超对称不变性和\nl守恒律的存在之间的直接联系。对于两个可积的N=2的超对称KdV方程，当其递推算子已知时，也证明了非局部守恒律的存在性。

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。

一阶涡旋动力系统的守恒律

Conservation Laws in a First Order Dynamical System of Vortices

在一个2+1维一阶超导涡旋动力学模型中研究了线动量和角动量的规范不变守恒律。与流体涡旋类似，可以将线动量和角动量表示为低涡量矩。守恒律与涡动力学的模空间近似中得到的守恒律进行了比较。

经典Toda场论的守恒律

Conservation laws for the classical Toda field theories

我们已经完成了经典（仿射）户田场论的守恒律的一些显式计算，以及这些模型的一些推广。我们证明了有一个巨大的类广义模型，有一个无限的守恒律集，其综合收费是在对合。在这些模型中，我们发现只有$A_m$和$A_m^{(1)}$（$m\ge 2$）Toda场论承认自旋为3的这种守恒律。我们报告我们明确的计算自旋-4和自旋-5守恒律（仿射）户田模型。也许我们最有趣的发现是，在$A_m$模型（$m\ge4)$）中存在守恒律，它与相应的仿射理论的指数或共形理论的能量动量张量有不同的起源。

Variational Tricomplex, Global Symmetries and Conservation Laws of Gauge Systems

Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the general notion of symmetry. We show that each generalized symmetry of a gauge system gives rise to a sequence of conservation laws that are represented by on-shell closed forms of various degrees. This extends the usual Noether's correspondence between global symmetries and conservation laws to the case of lower-degree conservation laws and not necessarily variational equations of motion. Finally, we equip the space of conservation laws of a given degree with a Lie bracket and establish a homom…

Gauge conservation laws in a general setting. Superpotential

The fact that the conserved current of a gauge symmetry is reduced to a superpotential is proved in a very general setting.

Conservation Laws for SO(p,q)

Using our previous results on the systematic construction of invariant differential operators for non-compact semisimple Lie groups we classify the conservation laws in the case of SO(p,q).