科研之友
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摘要
We show that string theory on a compact negatively curved manifold, preserving a U(1)(b)(1) winding symmetry, grows at least b(1) new effective dimensions as the space shrinks. The winding currents yield a "D-dual" description of a Riemann surface of genus h in terms of its 2h dimensional Jacobian torus, perturbed by a closed string tachyon arising as a potential energy term in the world sheet sigma model. D-branes on such negatively curved manifolds also reveal this structure, with a classical moduli space consisting of a b(1)-torus. In particular, we present an anti-de Sitter (AdS)/conformal field theory (CFT) system which offers a nonperturbative formulation of such supercritical backgrounds. Finally, we discuss generalizations of this new string duality.
- 出版日期2007-9
