2012 Fiscal Year Final Research Report
Comprehensive study on fundamental problems in string field theories
| Project/Area Number |
21540264
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kyoto University |
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Principal Investigator |
HATA Hiroyuki 京都大学, 大学院・理学研究科, 教授 (70164837)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 弦理論 / 弦の場の理論 / タキオン凝縮 / 古典解 / Chern-Simons理論 / winding number |
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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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