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arXiv · 0903.5062

Exact solutions for U(1) globally invariant membranes

M. Trzetrzelewski·A. A. Zheltukhin
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Abstract

The exact solvability problem of the nonlinear equations describing the U(1) invariant membranes is studied and the general solution for the static membrane in D=2N+1-dimensional Minkowski space-time, including M-theory case D=11, is obtained. The time-dependent Jacobi elliptic function solution describing a family of contracting tori is also found, together with the solution corresponding to a spinning torus characterized by the presence of the critical rotation frequency Omega=T^{1/3}/pi^{1/2} expressed via the membrane tension T.

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M. Trzetrzelewski, A. A. Zheltukhin. 2009-08-30. Exact solutions for U(1) globally invariant membranes. https://doi.org/10.1016/j.physletb.2009.07.072

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