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: In this paper, an optical system called the AF-ESPI method with the out-of-plane displacement measurement is employed to investigate the vibration characteristics of a free circular plate with a radial crack emanating from the edge.
21 citations
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TL;DR: In this paper, the one-loop amplitudes of open and closed string theory in a constant background tensor field are characterized by an effective string tension larger than the fundamental string tension, and by the appearance of antisymmetric and symmetric noncommutativity parameters.
Abstract: We show that the one loop amplitudes of open and closed string theory in a constant background two-form tensor field are characterized by an effective string tension larger than the fundamental string tension, and by the appearance of antisymmetric and symmetric noncommutativity parameters. We derive the form of the phase functions normalizing planar and nonplanar tachyon scattering amplitudes in this background, verifying the decoupling of the closed string sector in the regime of infinite momentum transfer. We show that the functional dependence of the phase functions on the antisymmetric star product of external momenta permits interpretation as a finite wavefunction renormalization of vertex operators in the open string sector. Using world-sheet duality we clarify the regimes of finite and zero momentum transfer between boundaries, demonstrating the existence of poles in the nonplanar amplitude when the momentum transfer equals the mass of an on-shell closed string state. Neither noncommutativity parameter has any impact on the renormalizability of open and closed string theory in the wilsonian sense. We comment on the relationship to noncommutative scalar field theory and the UV-IR correspondence.
21 citations
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TL;DR: In this article, exact double Fourier series solutions are obtained for simply supported rectangular unsymmetrically laminated cross-ply plates subjected to various edge forces and moments, and these can be superposed to yield a simple solution for the title problem.
21 citations
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TL;DR: In this paper, the authors deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's $T\bar{T}$ deformation.
Abstract: We deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's $T\bar{T}$ deformation. We obtain that energy levels on a circle obey a transport equation analogous to the Burgers equation found in the $T\bar{T}$ case. This equation relates charges at any value of the deformation parameter to charges in the presence of a (generalized) Wilson line. We determine the initial data and solve the transport equations for antisymmetric combinations of flavor symmetry currents and the stress tensor starting from conformal field theories. Among the theories we solve is a conformal field theory deformed by $J\bar{T}$ and $T\bar{T}$ simultaneously. We check our answer against results from AdS/CFT.
20 citations
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TL;DR: The properties of the four families of the recently introduced special functions of two real variables, denoted here by E± and cos±, are studied in this article, where the quality of continuous interpolation, resulting from the discrete expansions, is studied, exemplified, and compared for some model functions.
Abstract: The properties of the four families of the recently introduced special functions of two real variables, denoted here by E± and cos±, are studied. The superscripts + and − refer to the symmetric and antisymmetric functions, respectively. The functions are considered in all details required for their exploitation in Fourier expansions of digital data, sampled on square grids of any density, and for general position of the grid in the real plane relative to the lattice defined by the underlying group theory. The quality of continuous interpolation, resulting from the discrete expansions, is studied, exemplified, and compared for some model functions.
20 citations