A Note on Classical Solution of Chaplygin-gas as D-brane
Abstract
The classical solution of bosonic d-brane in (d+1,1) space-time is discussed. We work with light-cone gauge which reduces the theory into Chaplygin gas. 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.Keywords
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