| Project/Area Number |
61540200
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
核・宇宙線・素粒子
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
SAKAI Norisuke Tokyo Institute of Technology, Assoc. Prof., 理学部, 助教授 (80108448)
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| Co-Investigator(Kenkyū-buntansha) |
INAMI Takeo Kyoto University, Assoc. Prof., 基礎物理学・研究所, 助教授 (20012487)
ISO Chikashi Tokyo Institute of Technology, Prof., 理学部, 教授 (90016030)
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| Project Period (FY) |
1986 – 1987
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| Project Status |
Completed (Fiscal Year 1987)
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| Budget Amount *help |
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1987: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1986: ¥600,000 (Direct Cost: ¥600,000)
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| Keywords | Superstring / Unified theory / Hawking radiation / Supersymmetry / Quantum gravity / Effective interaction / Conformal invariance / モジュラー形式 |
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| Research Abstract |
We have investigated various problems in constructing unified theories of elementary particles based on supersymmetric string models.
Supersymmetry was proposed to solve the gauge hierarchy problem in grand unified theories. In order to include gravity into the unified theory, superstring theories are most promising. We have examined the so-called Hawking radiation in string theories. More concretely, we put strings in a strong uniform gravitational field and observed that there is an upper limit above which the gravitational field cannot be made stronger because of violent particle production in the strong gravitational field.
At low energies, superstring theories look like a system of supersymmetric Yang-Mills fields coupled to supergravity fields with systematic corrections in powers of the slope parameter and the string loop expansion parameter. We have explicitly worked out the one-loop correction (torus topology) to the effective Lagrangian in the case of heterotic string as well as type II superstring.
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