Black hole entropy and topological strings on generalized CY manifolds
نویسنده
چکیده
The H. Ooguri, A. Strominger and C. Vafa conjecture ZBH = |Ztop| 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 b1(X) 6= 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 ×K3 are considered in details. On leave of absence from ITEP, 117259, Moscow, Russia
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