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• W2035739934 abstract "Exact solvability of brane equations is studied, and a new $U(1)times U(1)times... times U(1)$ invariant anzats for the solution of $p$-brane equations in $D=(2p+1)$-dimensional Minkowski space is proposed. The reduction of the $p$-brane Hamiltonian to the Hamiltonian of $p$-dimensional relativistic anharmonic oscillator with the monomial potential of the degree equal to $2p$ is revealed. For the case of degenerate p-torus with equal radii it is shown that the $p$-brane equations are integrable and their solutions are expressed in terms of elliptic ($p=2$) or hyperelliptic ($p>2$) functions. The solution describes contracting $p$-brane with the contraction time depending on $p$ and the brane energy density. The toroidal brane elasticity is found to break down linear Hooke law as it takes place for the anharmonic elasticity of smectic liquid crystals." @default.
• W2035739934 created "2016-06-24" @default.
• W2035739934 creator A5001881611 @default.
• W2035739934 date "2012-05-01" @default.
• W2035739934 modified "2023-09-28" @default.
• W2035739934 title "Toroidal p-branes, anharmonic oscillators and (hyper)elliptic solutions" @default.
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• W2035739934 doi "https://doi.org/10.1016/j.nuclphysb.2012.01.007" @default.
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