Topic
Symmetry (physics)
About: Symmetry (physics) is a research topic. Over the lifetime, 26435 publications have been published within this topic receiving 500189 citations. The topic is also known as: symmetry (physics) & physical symmetry.
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TL;DR: In this article, the authors show that the Noether current associated with shift symmetry vanishes, while the scalar field cannot be trivial, and they show that any vacuum GR solution is also solution to the quartic theory.
Abstract: We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in such a way that the Noether current associated with shift symmetry vanishes, while the scalar field cannot be trivial. This in certain cases leads to hairy black hole solutions (for the quartic Horndeski Lagrangian), and in others to singular solutions (for a Gauss-Bonnet term). Additionally, we find the general spherically symmetric and static solutions for a pure quartic Lagrangian, the metric of which is Schwarzschild. We show that under two requirements on the theory in question, any vacuum GR solution is also solution to the quartic theory. As an example, we show that a Kerr black hole with a non-trivial scalar field is an exact solution to these theories.
176 citations
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TL;DR: In this paper, the systematics of stable periodic solutions in the Lorenz model has been given basically by symbolic dynamics of the cubic map, which may be used to extract invariant characteristics from time series.
176 citations
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TL;DR: The first example of a nontrivial higher spin theory in three-dimensional flat space is presented, and the asymptotic symmetry algebra is a (centrally extended) higher spin generalization of the Bondi-Metzner-Sachs algebra, which is described in detail.
Abstract: We present the first example of a nontrivial higher spin theory in three-dimensional flat space. We propose flat-space boundary conditions and prove their consistency for this theory. We find that the asymptotic symmetry algebra is a (centrally extended) higher spin generalization of the Bondi-Metzner-Sachs algebra, which we describe in detail. We also address higher spin analogues of flat space cosmology solutions and possible generalizations.
175 citations
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TL;DR: In this paper, a tensor tensor field theory for fractons is proposed, which is based on the notion of global conservation of charge and dipole moment, and it is shown that fractons intrinsically interact with each other.
Abstract: A powerful mechanism for constructing gauge theories is to start from a theory with a global symmetry, then apply the ``gauge principle,'' which demands that this symmetry hold locally. For example, the global phase rotation of a system of conserved charges can be promoted to a local phase rotation by coupling to an ordinary $U(1)$ vector gauge field. More recently, a class of particles has been studied featuring not only charge conservation, but also conservation of higher moments, such as dipole moment, which leads to severe restrictions on the mobility of charges. These particles, called fractons, are known to be intimately connected to symmetric tensor gauge fields. In this work, we show how to derive such tensor gauge theories by applying the gauge principle to a theory of ungauged fractons. We begin by formulating a field theory for ungauged fractons exhibiting global conservation of charge and dipole moment. We show that such fracton field theories have a characteristic non-Gaussian form, reflecting the fact that fractons intrinsically interact with each other even in the absence of a mediating gauge field. We then promote the global higher moment conservation laws to local ones, which requires the introduction of a symmetric tensor gauge field. Finally, we extend these arguments to other types of subdimensional particles besides fractons. This work offers a possible route to the formulation of non-Abelian fracton theories.
175 citations
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TL;DR: In this paper, it was shown that not every massless field in flat space admits a deformation to AdSd with the same number of degrees of freedom, because it is impossible to keep all the flat space gauge symmetries unbroken in the AdS space.
175 citations