Toroidal p-branes, anharmonic oscillators and (hyper)elliptic solutions
2012 (English)In: Nuclear Physics B, ISSN 0550-3213, Vol. 858, no 1, 142-154 p.Article in journal (Refereed) Published
Exact solvability of brane equations is studied, and a new U(1) x U(I) x ... x 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.
Place, publisher, year, edition, pages
2012. Vol. 858, no 1, 142-154 p.
IdentifiersURN: urn:nbn:se:su:diva-76038DOI: 10.1016/j.nuclphysb.2012.01.007ISI: 000300534400006OAI: oai:DiVA.org:su-76038DiVA: diva2:525815