Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-31
Phys.Rev. D62 (2000) 085023
Physics
High Energy Physics
High Energy Physics - Theory
20 pages,No figures, Latex, Address changed
Scientific paper
10.1103/PhysRevD.62.085023
The classical solution of bosonic d-brane in (d+1,1) space-time is studied. We work with light-cone gauge and reduce the problem into Chaplygin gas problem. The static equation is equivalent to vanishing of extrinsic mean curvature, which is similar to Einstein equation in vacuum. We show that the d-brane problem in this gauge is closely related to Plateau problem, and we give some non-trivial solutions from minimal surfaces. The solutions of d-1,d,d+1 spatial dimensions are obtained from d-dimensional minimal surfaces as solutions of Plateau problem. In addition we discuss on the relation to Hamiltonian-BRST formalism for d-branes.
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