Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-05-24
JHEP0607:030,2006
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, a numerical factor corrected
Scientific paper
10.1088/1126-6708/2006/07/030
In heterotic flux compactification with supersymmetry, three different connections with torsion appear naturally, all in the form $\omega+a H$. 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 $H\neq 0$ and $\d H=0$ is necessarily singular, and the formal positivity is invalid. With $\d H\neq 0$, smooth compactification becomes possible. We show that, at least near smooth supersymmetric solution, the size of $H^2$ should be comparable to that of $\d H$ and the consistent truncation of action has to keep $\alpha'R^2$ term. A warp factor equation of motion is rewritten with $\alpha' R^2$ contribution included precisely, and some limits are considered.
Kimura Tetsuji
Yi Piljin
No associations
LandOfFree
Comments on Heterotic Flux Compactifications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Comments on Heterotic Flux Compactifications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comments on Heterotic Flux Compactifications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-119458