Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-25
JHEP 0512:023,2005
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 23 pages, 7 figures; minor corrections, references added
Scientific paper
10.1088/1126-6708/2005/12/023
The small instanton transition of a five-brane colliding with one end of the S1/Z2 interval in heterotic M-theory is discussed, with emphasis on the transition moduli, their potential function and the associated non-perturbative superpotential. Using numerical methods, the equations of motion of these moduli coupled to an expanding Friedmann-Robertson-Walker spacetime are solved including non-perturbative interactions. It is shown that the five-brane collides with the end of the interval at a small instanton. However, the moduli then continue to evolve to an isolated minimum of the potential, where they are trapped by gravitational damping. The torsion free sheaf at the small instanton is ``smoothed out'' into a vector bundle at the isolated minimum, thus dynamically completing the small instanton phase transition. Radiative damping at the origin of moduli space is discussed and shown to be insufficient to trap the moduli at the small instanton point.
Borisov Alexander
Buchbinder Evgeny I.
Ovrut Burt A.
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