Topic
Antisymmetric relation
About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.
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TL;DR: By reducing the open membrane data to five dimensions, it is shown that they, modulo a subtlety with implications for the relation between OM-theory and NCYM, correctly generate the open string and open D2-data.
Abstract: We investigate the consequences of generalizing certain well established properties of the open string metric to the conjectured open membrane and open Dp-brane metrics. By imposing deformation independence on these metrics their functional dependence on the background fields can be determined including the notorious conformal factor. In analogy with the non-commutativity parameter ??? in the string case, we also obtain ``generalized'' theta parameters which are rank (q+1) antisymmetric tensors (polyvectors) for open Dq-branes and rank 3 for the open membrane case. The expressions we obtain for the open membrane quantities are expected to be valid for general background field configurations, while the open D-brane quantities are only valid for one parameter deformations. By reducing the open membrane data to five dimensions, we show that they, modulo a subtlety with implications for the relation between OM-theory and NCYM, correctly generate the open string and open D2-data.
41 citations
TL;DR: In this paper, the optimal fiber orientations of angle-ply laminates were determined with the objective of maximizing the buckling load subject to a mass constraint, where the laminated plate is constructed as a sandwich-type hybrid structure which has outer layers of high stiffness material and inner layers of low stiffness material.
41 citations
TL;DR: In this article, it was shown that the rate at which intrinsic angular velocity approaches its steady-state value (ω = 1/2▽ × u) is determined by the magnitude of the antisymmetric part of the pressure tensor.
Abstract: Nonequilibrium molecular dynamics calculations are used to show that polyatomic fluids can support antisymmetric stress. In a homogeneous system where the time dependence of vorticity is a step function, it is shown that the rate at which intrinsic angular velocity approaches its steady-state value (ω = 1/2▽ × u) is determined by the magnitude of the antisymmetric part of the pressure tensor.
40 citations
TL;DR: In this article, the exchangeability condition was shown to be sufficient for the exchangeable pair approach in Stein's method for distributional approximation in many standard settings, for which only equality in distribution is required.
40 citations
TL;DR: In this paper, a lattice study of meson mass spectra and decay constants of the $Sp(4)$ gauge theory in the quenched approximation was performed. But the results were restricted to the case of two fundamental and three antisymmetric fermions.
Abstract: We perform lattice studies of meson mass spectra and decay constants of the $Sp(4)$ gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter field content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter fields are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the first lattice study of this class of theories. The global $SU(4) \times SU(6)$ symmetry is broken to the $Sp(4) \times SO(6)$ subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory. The main results of our quenched calculations are that, with fermions in the 2-index antisymmetric representation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between $\sim$1.2 and $\sim$2.7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large $N$ in the $Sp(2N)$ theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected.
40 citations