Categories
  Encyclosphere.org ENCYCLOREADER
  supported by EncyclosphereKSF

M2-brane

From HandWiki - Reading time: 4 min

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 [math]\displaystyle{ (Poincare)_{3}\times SO(8) }[/math] 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

[math]\displaystyle{ dsM22=(1+qr6)23dxμdxνημν+(1+qr6)13dxidxjδijFiμ1μ2μ3=ϵμ1μ2μ3i(1+qr6)1,μ=1,,3i=4,,11, }[/math]

where [math]\displaystyle{ \eta }[/math] is the flat-space metric and the distinction has been made between world volume [math]\displaystyle{ x^\mu }[/math] and transverse [math]\displaystyle{ x^i }[/math] coordinates. The constant [math]\displaystyle{ q }[/math] is proportional to the charge of the brane which is given by the integral of [math]\displaystyle{ F }[/math] over the boundary of the transverse space of the brane.[2]

See also

References





Licensed under CC BY-SA 3.0 | Source: https://handwiki.org/wiki/Astronomy:M2-brane
22 views | Status: cached on August 05 2024 04:40:37
↧ Download this article as ZWI file
Encyclosphere.org EncycloReader is supported by the EncyclosphereKSF