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 paper, the pseudospin symmetry and its energy dependence in real nuclei is discussed. But the authors focus on the competition between the CB and PSOP, which is mainly decided by the derivative of the difference between the scalar and vector potentials.
Abstract: Relating the pseudospin symmetry back to the Dirac equation through the framework of relativistic Hartree-Bogoliubov (RHB) theory, the pseudospin approximation in real nuclei is discussed. From the Dirac equation, the mechanism behind the pseudospin symmetry was studied and the pseudospin symmetry is shown to be connected with the competition between the centrifugal barrier (CB) and the pseudospin orbital potential (PSOP), which is mainly decided by the derivative of the difference between the scalar and vector potentials. With the scalar and vector potentials derived from a self-consistent relativistic Hartree-Bogoliubov calculation, the pseudospin symmetry and its energy dependence in real nuclei is discussed.
316 citations
TL;DR: The SU(n) quantum chains with inverse-square exchange exhibit a novel form of Yangian symmetry compatible with periodic boundary conditions, allowing states to be countable, and a new classification of the states of conformal field theory is obtained.
Abstract: The SU(n) quantum chains with inverse-square exchange exhibit a novel form of Yangian symmetry compatible with periodic boundary conditions, allowing states to be countable. We characterize the ``supermultiplets'' of the spectrum in terms of generalized ``occupation numbers.'' We embed the model in the k=1 SU(n) Kac-Moody algebra and obtain a new classification of the states of conformal field theory, adapted to particlelike elementary excitations obeying fractional statistics.
315 citations
TL;DR: In this paper, a system of gravity plus free massless matter fields in 4 + N dimensions is considered, and solutions in which N dimensions form a compact curved manifold, with the energy-momentum tensor responsible for the curvature produced by quantum fluctuations in the matter fields.
314 citations
TL;DR: In this paper, a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras was described, where the meromorphic correlators of the chiral algebra compute correlators in a protected sector of the fourdimensional theory.
Abstract: We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of the chiral algebra compute correlators in a protected sector of the four-dimensional theory. Infinite chiral symmetry has far-reaching consequences for the spectral data, correlation functions, and central charges of any four-dimensional theory with ${\mathcal N}=2$ superconformal symmetry.
310 citations
TL;DR: A universal formula for an action associated with a noncommutative geometry, defined by a spectral triple sA, H, Dd, is proposed, based on the spectrum of the Dirac operator, that gives an action that unifies gravity with the standard model at a very high energy scale.
Abstract: A universal formula for an action associated with a noncommutative geometry, defined by a spectral triple $(A,H,D)$, is proposed It is based on the spectrum of the Dirac operator and is a geometric invariant The new symmetry principle is the automorphism of the algebra $A$ which combines both diffeomorphisms and internal symmetries Applying this to the geometry defined by the spectrum of the standard model gives an action that unifies gravity with the standard model at a very high energy scale
309 citations