Colliding Singularities in F-theory and Phase Transitions

Abstract

We study F-theory on elliptic threefold Calabi-Yau near colliding singularities. We demonstrate that resolutions of those singularities generically correspond to transitions to phases characterized by new tensor multiplets and enhanced gauge symmetry. These are governed by the dynamics of tensionless strings. We also find new transition points which are associated with several small instantons simultaneously shrinking to zero size.

harvmac tex, 19 pages, minor misprints are corrected, the section on SO(*)xSO(*) is extended, the discussion on small instantons is added

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