M2-brane

In theoretical physics, an M2-brane, is a spatially extended mathematical object ( brane) 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 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
: $\begin ds^_ &= \left(1+\frac\right)^dx^ dx^\eta_ + \left(1+\frac\right)^dx^dx^\delta_ \\ F_ &= \epsilon_ \partial_\left(1+\frac\right)^, \quad \mu=1,\ldots ,3 \quad i=4,\ldots , 11,\end$
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"
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See also

* String theory
*Membrane (M-theory)
*M-theory

References

String theory
Physical cosmology

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