| Project/Area Number |
15540273
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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 | Osaka University |
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Principal Investigator |
NAKATSU Toshio Osaka University, Graduate School of Science, Assistant professor, 大学院理学研究科, 助手 (10281502)
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| Project Period (FY) |
2003 – 2006
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| Project Status |
Completed (Fiscal Year 2006)
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| Budget Amount *help |
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2006: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2005: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | Superstrings / Supersymmetry / Duality / Gauge / gravity correspondence / Integrable system / Random plane partition / Amoeba / Tropical geometry / 超弦理論 / ゲージ理論 / 重力理論 / 統計模型 / 厳密解 / 離散化 / カラビ・ヤオ多様体 / 超対称gauge理論 / Gauge / 3次元統計模型 / Calabi-Yau多様体 / 非可換時空 / 超弦 / gravity対応 / Instanton moduli / Seiberg-Witten厳密解 / 開弦 / 閉弦 / Boundary state / BRST演算子 / Wilson loop / Gauge-gravity対応 / 弦の境界場理論 |
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| Research Abstract |
(i)We exploit the boundary state formalism to investigate duality between open-and closed-strings in superstring theory. By using the off-shell interactions of open-and closed-strings developed in our for- malism, we show that in the background of non-vanishing NS-NS two-form field, the masssive modes of closed-string emerge as the Wilson lines in non-commutative gauge theories on D-branes. (ii)In superstring compactifications, local Calabi-Yau geometries are related with thermodynamic quantities of certain statistical models. We study random plane partitions relevant to describe Nekrasov's par- tition functions of five-dimensional supersymmetric gauge theories, from both the gauge theory and gravity viewpoints. After taking a natural scaling, the thermodynamic limit corresponds to a classical limit with respect to g_<st>. We show that classical objects called the limit shapes of plane partition govern the systems. In particular, the limit shapes at zero temperature are equivalent to the local geometries while at finite temperature, they describe a quantum deformation of the local geometries.
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