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 article, the authors investigated the possibility to extract Seiberg-Witten curves from the formal series for the prepotential, which was obtained by the Nekrasov approach.
Abstract: We investigate the possibility to extract Seiberg-Witten curves from the formal series for the prepotential, which was obtained by the Nekrasov approach. A method for models whose Seiberg-Witten curves are not hyperelliptic is proposed. It is applied to the SU(N) model with one symmetric or antisymmetric representations as well as for SU(N1) × SU(N2) model with (N1,N2) or (N1,2) bifundamental matter. Solution are compared with known results. For the gauge group product we have checked the instanton corrections which follow from our curves against direct instanton counting computations up to two instantons.
39 citations
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TL;DR: In this paper, a simple renormalizable abelian gauge model with antisymmetric second-rank tensor fields as matter fields is presented, and the free action is conformally rather than gauge invariant.
39 citations
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TL;DR: In this paper, it was proved that to maintain consistency of the commutation relations among spatial current components with the Jacobi identity, a Schwinger term antisymmetric with respect to interchange of isotopic (or unitary) indices is needed.
Abstract: It is proved that to maintain consistency of the commutation relations among spatial current components with the Jacobi identity, a Schwinger term antisymmetric with respect to interchange of isotopic (or unitary) indices is needed. The proof is based on the use of the Jacobi identity for triple commutators and of the Lehman-K\"allen expression for the vacuum expectation value of a current commutator. Additional conditions to be satisfied by the new Schwinger term are derived from an analysis of the origin of a discrepancy between the Lee-Dashen-Gell-Mann and the Cabibbo-Radicati sum rules for magnetic moments, and a solution of the discrepancy is proposed.
38 citations
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TL;DR: It is shown that nonsymmetric second-rank current density tensors, related to the current densities induced by magnetic fields and nuclear magnetic dipole moments, are fundamental properties of a molecule and completely characterize its response to magnetic perturbations.
Abstract: It is shown that nonsymmetric second-rank current density tensors, related to the current densities induced by magnetic fields and nuclear magnetic dipole moments, are fundamental properties of a molecule. Together with magnetizability, nuclear magnetic shielding, and nuclear spin-spin coupling, they completely characterize its response to magnetic perturbations. Gauge invariance, resolution into isotropic, deviatoric, and antisymmetric parts, and contributions of current density tensors to magnetic properties are discussed. The components of the second-rank tensor properties are rationalized via relationships explicitly connecting them to the direction of the induced current density vectors and to the components of the current density tensors. The contribution of the deviatoric part to the average value of magnetizability, nuclear shielding, and nuclear spin-spin coupling, uniquely determined by the antisymmetric part of current density tensors, vanishes identically. The physical meaning of isotropic and anisotropic invariants of current density tensors has been investigated, and the connection between anisotropy magnitude and electron delocalization has been discussed.
38 citations
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TL;DR: A constructive example of the violation of the additivity of minimum output Renyi entropy for each p > 2 is presented by an antisymmetric subspace of a suitable dimension and the possibility of extension of the result to go beyond p >2 and obtain additivity for p = 0 for a class of entanglement breaking channels is discussed.
Abstract: We present a constructive example of violation of additivity of minimum output R\'enyi entropy for each p>2. The example is provided by antisymmetric subspace of a suitable dimension. We discuss possibility of extension of the result to go beyond p>2 and obtain additivity for p=0 for a class of entanglement breaking channels.
38 citations