| DATE: |
2006-07-07 13:30 - 14:30 |
| PLACE: |
Kenkyu Honkan 2F RM 220 |
| TITLE: |
Comments on Heterotic Flux Compactifications |
| CONTACT: |
tsuda |
| SPEAKER: |
Tetsuji Kimura (KIAS) |
| LANGUAGE: |
English |
| ABSTRACT: |
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.
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