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# Antisymmetric tensor

About: Antisymmetric tensor is a research topic. Over the lifetime, 1190 publications have been published within this topic receiving 36492 citations.

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TL;DR: In this article, the propagation of strings in background fields, including the effects of metric, antisymmetric tensor, and dilaton expectation values, as well as gauge field backgrounds in the case of heterotic strings, is studied.

1,391 citations

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TL;DR: In this article, the authors consider scale invariant theories which couple gravity to Maxwell fields and antisymmetric tensor fields with a dilaton field, and they exhibit in a unified way solutions representing black hole, space-time membrane, vortex and cosmological solutions.

1,260 citations

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TL;DR: In this article, the precession of a particle moving in a homogeneous electromagnetic field has been investigated for spin ½ particles in some particular cases and the results were derived by explicit use of the Dirac equation with the occasional inclusion of a Pauli term to account for an anomalous magnetic moment.

Abstract: The problem of the precession of the “spin” of a particle moving in a homogeneous electromagnetic field — a problem which has recently acquired considerable experimental interest — has already been investigated for spin ½ particles in some particular cases.1 In the literature the results were derived by explicit use of the Dirac equation, with the occasional inclusion of a Pauli term to account for an anomalous magnetic moment. On the other hand, following a remark of Bloch2 in connection with the nonrelativistic case, the expectation value of the vector operator representing the “spin” will necessarily follow the same time dependence as one would obtain from a classical equation of motion. To solve the problem for arbitrary spin in the relativistic case, it will thus suffice to produce a consistent set of covariant classical equations of motion. Such equations have been indicated a long time ago by Frenkel3 and are discussed by Kramers.4 These authors use an antisymmetric tensor M as the relativistic generalization of the intrinsic angular momentum observed in the rest-frame of the particle. A formulation in terms of the (axial) four-vector s which describes the polarization in a covariant fashion5 — though basically equivalent — is however much more convenient for our problem. We shall therefore derive first the equations of motion directly in terms of this four-vector s.

1,065 citations

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TL;DR: It is conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones.

Abstract: In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory diagram numerators. Here we conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones. As a nontrivial test, we show that the three-loop four-point amplitude of N=4 super-Yang-Mills theory can be arranged into a form satisfying the duality, and by taking double copies of the diagram numerators we obtain the corresponding amplitude of N=8 supergravity. We also remark on a nonsupersymmetric two-loop test based on pure Yang-Mills theory resulting in gravity coupled to an antisymmetric tensor and dilaton.

1,046 citations

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TL;DR: In this paper, preferential compactification of d-s or of s space-like dimensions is found to occur in d-dimensional unified theories that, along with gravity, contain an antisymmetric tensor field of rank s-1.

1,030 citations