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 quasi-exactly solvable eigenvalues of the Schrodinger equation for the PT-invariant potential V ( x ) =−( ζ cosh2 x − iM ) 2 are complex conjugate pairs in case the parameter M is an even integer while they are real in case M is a odd integer.
170 citations
TL;DR: In this article, a full set of Noether symmetries for some minisuperspace models are derived by the so-called Noether symmetry approach, which can be recast in terms of Schwarzschild-like solutions modified by a distortion function depending on a characteristic radius.
Abstract: Spherically symmetric solutions for $f(T)$ gravity models are derived by the so-called Noether symmetry approach. First, we present a full set of Noether symmetries for some minisuperspace models. Then, we compute analytical solutions and find that spherically symmetric solutions in $f(T)$ gravity can be recast in terms of Schwarzschild-like solutions modified by a distortion function depending on a characteristic radius. The obtained solutions are more general than those obtained by the usual solution methods.
170 citations
TL;DR: In this article, a p-adic expression for the Parisi replica matrix is given and moreover, in the case of spontaneous symmetry breaking of the replica symmetry in the simplest case is expressed in the form of the Vladimirov operator of padic fractional differentiation.
Abstract: Methods of p-adic analysis are applied to the investigation of spontaneous symmetry breaking in the models of spin glasses. A p-adic expression for the Parisi replica matrix is given and, moreover, the Parisi replica matrix in models of spontaneous breaking of the replica symmetry in the simplest case is expressed in the form of the Vladimirov operator of p-adic fractional differentiation. Also, the model of hierarchical diffusion (that was proposed to describe relaxation of spin glasses) is investigated using p-adic analysis.
170 citations
TL;DR: In this article, the relativistic symmetry that suppresses spin-orbit splittings in hadrons was identified, and the dynamics necessary for this symmetry are shown to be possible in QCD.
Abstract: Experimental data indicate small spin-orbit splittings in hadrons. For heavy-light mesons we identify a relativistic symmetry that suppresses these splittings. We suggest an experimental test in electron-positron annihilation. Furthermore, we argue that the dynamics necessary for this symmetry are possible in QCD.
170 citations
TL;DR: In this article, the authors generalize the (p,q) 5-brane web construction of five-dimensional field theories by introducing 7-branes, and apply this construction to theories with a one-dimensional Coulomb branch.
Abstract: We generalize the (p,q) 5-brane web construction of five-dimensional field theories by introducing (p,q) 7-branes, and apply this construction to theories with a one-dimensional Coulomb branch. The 7-branes render the exceptional global symmetry of these theories manifest. Additionally, 7-branes allow the construction of all En theories up to n = 8, previously not possible in 5-brane configurations. The exceptional global symmetry in the field theory is a subalgebra of an affine symmetry on the 7-branes, which is necessary for the existence of the system. We explicitly determine the quantum numbers of the BPS states of all En theories using two simple geometrical constraints.
170 citations