| 日時: |
2006-07-07 13:30 - 14:30 |
| 場所: |
研究本館２階220室 |
| 会議名: |
Comments on Heterotic Flux Compactifications |
| 連絡先: |
津田 |
| 講演者: |
木村 哲士 (韓国高等科学院) |
| 講演言語: |
英語 |
| アブストラクト: |
In heterotic flux compactification with supersymmetry, three different connections with torsion appear naturally, all in the form \omega + aH. Supersymmetry condition carries a=-1, the Dirac operator has a=-1/3, and higher order term in the effective action involves a=1. With a view toward the gauge sector, we explore the geometry with such torsions. After reviewing the supersymmetry constraints and finding a relation between the scalar curvature and the flux, we derive the squared form of the zero mode equations for gauge fermions. With d H=0, the operator has a positive potential term, and the mass of the unbroken gauge sector appears formally positive definite. However, this apparent contradiction is avoided by a no-go theorem that the compactification with non-zero H and d H=0 is necessarily singular, and the formal positivity is invalid. With non-zero d H, smooth compactification becomes possible. We show that, at least near supersymmetric solution, the consistent truncation of action has to keep \alpha'R2 term in the effective action. A warp factor equation of motion is rewritten with \alpha' R2 contribution included precisely, and some limits are considered.
|
|
