| Project/Area Number |
06640373
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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 |
素粒子・核・宇宙線
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| Research Institution | University of Tsukuba |
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Principal Investigator |
YANG Sung-kil Univ.of Tsukuba, Inst.of Physics, Professor, 物理学系, 教授 (70201118)
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| Project Period (FY) |
1994 – 1995
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| Project Status |
Completed (Fiscal Year 1995)
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| Budget Amount *help |
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | Two-dimensional gravity / Topological field theory / Supersymmetry / Supersymmetric gauge theory / Duality / Quantum critical phenomena / Conformal field theory / 2次元動力 / 量子臨界現象 |
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| Research Abstract |
2D Topological Sigma Model : Analyzing in detail the matrix integral representation of the topological CP^1 model, we clarify the integrable structure of the model, based on which we develop the Landau-Ginzburg formulation. The instanton sum predicted by the matrix model is in complete agreement with that obtained by a geometrical method. We also show that correlation functions in the topological CP^n as well as Grassmannian sigma models are directly evaluated using the logarithmic-type effective action.
4D N=2 Supersymmetric Gauge Theory : We calculate exactly the low-energy effective action (prepotential) for the Coulomb branch of N=2 supersymmetric QCD by making use of the Picard-Fuchs equations. We also derive a basic identity obeyed by the prepotential of N=2 supersymmetric QCD.Our derivation is based on recently proposed soliton equations in connection with N=2 gauge theories.
1D Quantum Critical Phenomena : We determine various critical exponents in the Kondo problem with the aid of the exact finite-size spectrum and boundary conformal field theory. In a similar manner we compute the asymptotic forms of correlation functions in the Calogero-Sutherland model with boundaries. We also consider the higher-spin extension of the quantum system of fractional exclusion statistics.
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