Research on Superstrings Compactified on Singular Manifolds via Conformal Field Theory
| Project/Area Number |
14540286
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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 |
素粒子・核・宇宙線
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| Research Institution | High Energy Accelerator Research Organization |
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Principal Investigator |
MIZOGUCHI Shun'ya High Energy Accelerator Research Organization, Institute of Particle and Nuclear Studies, Assistant (00222323)
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| Project Period (FY) |
2002 – 2003
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| Project Status |
Completed (Fiscal Year 2003)
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| Budget Amount *help |
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2003: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | Superstrings / Conformal Field Theory / Matrix Models / 超弦理論 / ゲージ理論 / デュアリティー |
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| Research Abstract |
Conformal field theory has served as a useful tool for studying various aspects of string theory. On the other hand, the study of strings on singular manifolds is a key to extract a universal property of the low energy theories.
In fiscal 2002, we studied some aspects of strings in supersymmetric PP wave backgrounds. First, we proved that the light-cone IIB Green-Schwarz action in general plane-wave backgrounds obtained as Penrose limits is necessarily quadratic in the fermionic coordinates, and wrote down the complete quadratic action using the supercovariant derivative.Next we considered the compactifications of the maximally supersymmetric IIB plane-wave background on S' and T2 and showed that the O(d, d; Z) (d=1, 2) T-duality, despite that only half of the ordinary set of zero modes appeared in the Hamiltonian
In fiscal 2003, we mainly worked on the Dijkgraaf-Vafa theory. First, considering a hermitian one-matrix model with an even quartic potential as an example, we showed that the value of the effective superpotential of the corresponding gauge theory was smooth at the transition point. We also studied the gravitational corrections to the F-term in four-dimensional N=1 U(N) gauge theories with flavors, and derived a compact formula for the the full Tr R^R correction. We also found that it was reproduced as a special c=1 CFT correlator.
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Report
(3 results)
Research Products
(11 results)
