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M2-brane

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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[1] by requiring (Poincare)3×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

dsM22=(1+qr6)23dxμdxνημν+(1+qr6)13dxidxjδijFiμ1μ2μ3=ϵμ1μ2μ3i(1+qr6)1,μ=1,,3i=4,,11,

where η is the flat-space metric and the distinction has been made between world volume xμ and transverse xi 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.[2]

See also

References





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