Symmetric Vacua in Heterotic M Theory
Abstract
Symmetric vacua of heterotic M theory, characterized by vanishing cohomology classes of individual sources in the threeform Bianchi identity, are analyzed on smooth CalabiYau threefolds. We show that such vacua do not exist for elliptically fibered CalabiYau spaces. However, explicit examples are found for CalabiYau threefolds arising as intersections in both unweighted and weighted projective space. We show that such symmetric vacua can be combined with attractive phenomenological features such as three generations of quarks and leptons. Properties of the low energy effective actions associated with symmetric vacua are discussed. In particular, the gauge kinetic functions receive no perturbative threshold corrections, there are no corrections to the matter field Kähler metric and the associated fivedimensional effective theory admits flat space as its vacuum.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2000
 DOI:
 10.1142/S0217751X00002718
 arXiv:
 arXiv:hepth/9908100
 Bibcode:
 2000IJMPA..15.5161L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 22 pages, Latex