Small Instanton Transitions in Heterotic M-Theory

Details Small Instanton Transitions in Heterotic M-Theory Small Instanton Transitions in Heterotic M-Theory

2000-01-21

arxiv.org/abs/hep-th/0001133v1

JHEP 0005 (2000) 045

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, Latex

Scientific paper

10.1088/1126-6708/2000/05/045

We discuss non-perturbative phase transitions, within the context of heterotic M-theory, which occur when all, or part, of the wrapped five-branes in the five-dimensional bulk space come into direct contact with a boundary brane. These transitions involve the transformation of the five-brane into a ``small instanton'' on the Calabi-Yau space at the boundary brane, followed by the ``smoothing out'' of the small instanton into a holomorphic vector bundle. Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition. We compute the conditions under which a small instanton phase transition can occur and present a number of explicit, phenomenologically relevant examples.

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