| Budget Amount *help |
¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2006: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 2005: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 2004: ¥400,000 (Direct Cost: ¥400,000)
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| Research Abstract |
The purpose of this research is to study the CR geometry and apply for string theory.
Kapustin and Orlov introduce the notion A brane, which is a special type of D branes. Let W be a Kaehler manifold.
A brane consists of a submanifold of this W and line bundle with connection, which satisfies additional condition.
Inspired by the Kapustin-Orlov's work, the author constructs deformation theory of A branes, and study the relation with Hamiltonian mechanics of this submanifold. This work is still in progress and a part of my work appears in JMAA, N.322(2006), p207-p213. And especially, the new notion of CR Hamiltonian flow leads to a recent work of Einstein metric on CR manifolds.
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