| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
Focusing on similarities between the mathematical structure of Cubic String Field Theory (CSFT) and that of the Chern-Simons theory in three dimensions, we studied the topological structure of CSFT in relation to its classical solutions which are given formally as finite gauge transforms of zero. We found, in particular, that the singularities from the K=0 as well as from the K=∞eigenvalues of the quantity K in the KBc-algebra (which is a basic tool for constructing solutions) are the origins of the winding number of the solutions. We also presented a regularization method for properly treating these singularities. In addition, we found a novel duality structure under a transformation which exchanges K and 1/K. By using this duality, we proposed a way of constructing solutions carrying arbitrary integer winding numbers.
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