M2- and M5-branes in E11 current algebra formulation of M-theory

Equations of motion for M2- and M5-branes are written down in the [Formula: see text] current algebra formulation of M-theory. These branes correspond to currents of the second and the fifth rank antisymmetric tensors in the [Formula: see text] representation, whereas the electric and magnetic fields (coupled to M2- and M5-branes) correspond to currents of the third and the sixth rank antisymmetric tensors, respectively. We show that these equations of motion have solutions in terms of the coordinates on M2- and M5-branes. We also discuss the geometric equations, and show that there are static solutions when M2- or M5-brane exists alone and also when M5-brane wraps around M2-brane. This situation is realized because our Einstein-like equation contains an extra term which can be interpreted as gravitational energy contributing to the curvature, thus avoiding the usual intersection rule.

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Ion acceleration by multiple laser pulses and their spontaneous electromagnetic fields in plasma

Journal of Plasma Physics ◽

10.1017/s0022377807006678 ◽

2008 ◽

Vol 74 (1) ◽

pp. 111-118

Author(s):

FEN-CE CHEN

Keyword(s):

Magnetic Fields ◽

Electric Field ◽

Analytical Model ◽

Electromagnetic Fields ◽

Equations Of Motion ◽

Charged Particles ◽

Laser Pulses ◽

The Self ◽

Electric And Magnetic Fields ◽

Relativistic Equations

AbstractThe acceleration of ions by multiple laser pulses and their spontaneously generated electric and magnetic fields is investigated by using an analytical model for the latter. The relativistic equations of motion of test charged particles are solved numerically. It is found that the self-generated axial electric field plays an important role in the acceleration, and the energy of heavy test ions can reach several gigaelectronvolts.

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Dynamics of an orbital polarization of twisted electron beams in electric and magnetic fields

EPJ Web of Conferences ◽

10.1051/epjconf/201920410008 ◽

2019 ◽

Vol 204 ◽

pp. 10008

Author(s):

Alexander J. Silenko ◽

Pengming Zhang ◽

Liping Zou

Keyword(s):

Magnetic Field ◽

Electron Beam ◽

Magnetic Fields ◽

Quantum Dynamics ◽

Electron Beams ◽

Equations Of Motion ◽

Vortex Beam ◽

Dirac Particles ◽

Electric And Magnetic Fields ◽

Average Projection

Relativistic classical and quantum dynamics of twisted (vortex) Dirac particles in arbitrary electric and magnetic fields is constructed. The relativistic Hamiltonian and equations of motion in the Foldy-Wouthuysen representation are derived. Methods for the extraction of an electron vortex beam with a given orbital polarization and for the manipulation of such a beam are developed. The new effect of a radiative orbital polarization of a twisted electron beam in a magnetic field resulting in a nonzero average projection of the intrinsic orbital angular momentum on the field direction is predicted.

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Current algebra formulation of M-theory based on E11 Kac–Moody algebra

International Journal of Modern Physics A ◽

10.1142/s0217751x17500245 ◽

2017 ◽

Vol 32 (05) ◽

pp. 1750024 ◽

Cited By ~ 1

Author(s):

Hirotaka Sugawara

Keyword(s):

Current Algebra ◽

Equations Of Motion ◽

Internal Symmetry ◽

Momentum Tensor ◽

Moody Algebra ◽

Finite Dimensional ◽

The One ◽

Quantum Equations ◽

M Theory ◽

Gravitino Field

Quantum M-theory is formulated using the current algebra technique. The current algebra is based on a Kac–Moody algebra rather than usual finite dimensional Lie algebra. Specifically, I study the [Formula: see text] Kac–Moody algebra that was shown recently[Formula: see text] to contain all the ingredients of M-theory. Both the internal symmetry and the external Lorentz symmetry can be realized inside [Formula: see text], so that, by constructing the current algebra of [Formula: see text], I obtain both internal gauge theory and gravity theory. The energy–momentum tensor is constructed as the bilinear form of the currents, yielding a system of quantum equations of motion of the currents/fields. Supersymmetry is incorporated in a natural way. The so-called “field-current identity” is built in and, for example, the gravitino field is itself a conserved supercurrent. One unanticipated outcome is that the quantum gravity equation is not identical to the one obtained from the Einstein–Hilbert action.

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Safety Assessment of Electromagnetic Exposure in High-Speed Train Carriage with Full Passengers

Annals of Work Exposures and Health ◽

10.1093/annweh/wxaa048 ◽

2020 ◽

Vol 64 (8) ◽

pp. 838-851

Author(s):

Rui Tian ◽

Mai Lu

Keyword(s):

Magnetic Fields ◽

High Speed ◽

Power Cables ◽

Electromagnetic Environment ◽

Induced Magnetic Field ◽

The Third ◽

Electromagnetic Model ◽

Electric And Magnetic Fields ◽

High Speed Trains ◽

Set Up

Abstract The objective of this work is to evaluate the safety of the electromagnetic environment in the carriage of high-speed trains exposed to power cables when the train is full of passengers. The electromagnetic model of a real carriage, two sets of power cables and the 84 passengers were set up by using COMSOL Multiphysics software based on CRH5. The distributions of induced electric and magnetic fields in the carriage, inside and on the surface of passengers were investigated. The results show that the induced electric and magnetic fields on the windows are greater than on the passengers and the max value of induced magnetic field is 2627.10 µT, and the max value of induced electric field is 2.0 × 105 mV m−1. The maximum values of the induced electric and magnetic fields in 84 passengers’ brain tissues were obtained, and it was found that the maximum values occurred in the third row passengers. The distribution of induced electric and magnetic fields at the cross-section of passengers’ heads in the third row was also obtained, and we found that the passengers at the window side were greater than those of aisle passengers. In the third row, the maximum values of the induced electric and magnetic fields in the head of two passengers near the window were 94.6 mV m−1, 90.9 µT, 96.3 mV m−1, and 90.4 µT, respectively. We also found the all data were below the ICNIRP Reference Levels, which indicates the electromagnetic exposure caused by power cables when the train is full of passengers will not threat passengers’ health.

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