Black hole entropy and topological strings on generalized CY manifolds

被引:0
作者
Pestun, Vasily [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2006年 / 09期
关键词
differential and algebraic geometry; black holes in string theory; topological strings; NONLINEAR SIGMA-MODELS; MIRROR SYMMETRY; GEOMETRY; COMPACTIFICATIONS; SUPERSYMMETRY; SUPERGRAVITY; ATTRACTORS; AMPLITUDES; ALGEBRAS; STATES;
D O I
暂无
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The H. Ooguri, A. Strominger and C. Vafa conjecture Z(BH) = vertical bar Z(top)vertical bar(2) is extended for the topological strings on generalized CY manifolds. It is argued that the classical black hole entropy is given by the generalized Hitchin functional, which defines by critical points a generalized complex structure on X. This geometry differs from an ordinary geometry if b(1)( X) not equal 0. In a critical point the generalized Hitchin functional equals to Legendre transform of the free energy of generalized topological string. The examples of T-6 and T-2 x K3 are considered in details.
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页数:18
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