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 classical and quantum nature of edge modes and symmetries in gravity systems is investigated. But the main focus of this paper is to understand how different formulations of gravity provide non-trivial representations of different sectors of the corner symmetry algebra, and set the foundations of a new proposal for states of quantum geometry as representation states of this corner algebra.
Abstract: This is the first paper in a series devoted to understanding the classical and quantum nature of edge modes and symmetries in gravitational systems. The goal of this analysis is to: i) achieve a clear understanding of how different formulations of gravity provide non-trivial representations of different sectors of the corner symmetry algebra, and ii) set the foundations of a new proposal for states of quantum geometry as representation states of this corner symmetry algebra. In this first paper we explain how different formulations of gravity, in both metric and tetrad variables, share the same bulk symplectic structure but differ at the corner, and in turn lead to inequivalent representations of the corner symmetry algebra. This provides an organizing criterion for formulations of gravity depending on how big the physical symmetry group that is non-trivially represented at the corner is. This principle can be used as a “treasure map” revealing new clues and routes in the quest for quantum gravity. Building up on these results, we perform a detailed analysis of the corner pre-symplectic potential and symmetries of Einstein-Cartan-Holst gravity in [1], use this to provide a new look at the simplicity constraints in [2], and tackle the quantization in [3].
108 citations
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16 Dec 1997
TL;DR: In this paper, the authors present fundamental concepts for Chemical Applications, including symmetry, chemical bonding, and Vibrational Spectroscopy, as well as transition metal complexes for chemical applications.
Abstract: Fundamental Concepts. Representations of Groups. Techniques and Relationships for Chemical Applications. Symmetry and Chemical Bonding. Equations for Wave Functions. Vibrational Spectroscopy. Transition Metal Complexes. Appendices. Index.
108 citations
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TL;DR: In this article, a slave-boson theory for the finite doping model at finite doping was developed, which respects an SU(2) symmetry, a symmetry previously known to be important at half filling.
Abstract: We develop a slave-boson theory for the $t\ensuremath{-}J$ model at finite doping that respects an SU(2) symmetry: a symmetry previously known to be important at half filling. The mean-field phase diagram is found to be consistent with the phases observed in the cuprate superconductors, which contain $d$-wave superconductor, spin-gap, strange metal, and Fermi-liquid phases. The spin-gap phase is best understood as the staggered flux phase, which is nevertheless translationally invariant for physical quantities. The physical electron spectral function shows small Fermi segments at low doping that continuously evolve into the large Fermi surface at high-doping concentrations. The close relation between the SU(2) and the U(1) slave-boson theory is discussed. The low-energy effective theory for the low-lying fluctuations is derived and additional lying modes [which were overlooked in the U(1) theory] are identified.
108 citations
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TL;DR: First extensive computations of the kinetic barriers for a variety of strain-lattice orientations lead to predictions of the yield strength, which depends on nanotube chiral symmetry, in a way very different from the thermodynamic assessment.
Abstract: Carbon nanotubes yield to mechanical force by a primary dislocation dipole whose formation energy describes the thermodynamic stability of the tubule. However, the real-time strength is determined by the rate of defect formation, defined in turn by the activation barrier for the bond flip. First extensive computations of the kinetic barriers for a variety of strain-lattice orientations lead to predictions of the yield strength. Its value depends on nanotube chiral symmetry, in a way very different from the thermodynamic assessment.
108 citations
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01 Jan 2007
TL;DR: In this article, the authors describe and describe the symmetry of aperiodic crystals and their properties, including origin and stability, as well as the magnetic symmetry of quasi-periodic systems.
Abstract: 1. Introduction 2. Description and symmetry of aperiodic crystals 3. Mathematical models 4. Structure 5. Origin and stability 6. Physical properties 7. Other topics Appendix A. Higher-dimensional space groups Appendix B. Magnetic symmetry of quasi-periodic systems
108 citations