### G-branes *[Cross-Listing]*

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We introduce a new kind of space-filling brane, which we term G-brane because its action is a descendant of the gravitational action. The G-brane is different from the Dirac or Nambu space-filling branes, and has interesting formal properties in any spacetime dimension D, which are exhibited. For D greater or equal than three, the G-brane possesses only gauge degrees of freedom, just as the Dirac or Nambu branes. For D=3 the G-brane yields a reformulation of gravitation theory in which the Hamiltonian constraints can be solved explicitly, while keeping the spacetime structure manifest. For D=2 the G-brane provides a realization of the conformal algebra in terms of two scalar fields and their conjugates, which possesses a classical central charge. In the G-brane reformulation of (2+1) gravity, the boundary degrees of freedom of the gravitational field in asymptotically Anti-de Sitter space appear as "matter" coupled to the (1+1) G-brane on the boundary.