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M2-brane
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M2-brane : ウィキペディア英語版
M2-brane

In theoretical physics, an M2-brane, is a spatially extended mathematical object that appears in string theory and in related theories (e.g. M-theory, F-theory). In particular, it is a solution of eleven-dimensional supergravity which possesses a three-dimensional world volume.
==Description==
The M2-brane solution can be found〔(K. Stelle, "BPS Branes in Supergravity" )〕 by requiring (Poincare)_\times SO(8) symmetry of the solution and solving the supergravity equations of motion with the p-brane ansatz. The solution is given by a metric and three-form gauge field which, in isotropic coordinates, can be written as
: \begin ds^_ &= \left(1+\frac}dx^ dx^\eta_ + \left(1+\frac}dx^dx^\delta_ \\
F_\mu_} &= \epsilon_\mu_} \partial_\left(1+\frac\right)^, \quad \mu=1,\ldots ,3 \quad i=4,\ldots , 11,\end
where \eta is the flat-space metric and the distinction has been made between world volume x^\mu and transverse x^i coordinates. The constant q is proportional to the charge of the brane which is given by the integral of F over the boundary of the transverse space of the brane.〔(A. Miemiec, I. Schnakenburg "Basics of M-theory" )〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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