Topology Changing Transitions in Bubbling Geometries

Details Topology Changing Transitions in Bubbling Geometries Topology Changing Transitions in Bubbling Geometries

2005-02-15

arxiv.org/abs/hep-th/0502127v1

JHEP 0502 (2005) 063

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 8 figures

Scientific paper

10.1088/1126-6708/2005/02/063

Topological transitions in bubbling half-BPS Type IIB geometries with SO(4) x SO(4) symmetry can be decomposed into a sequence of n elementary transitions. The half-BPS solution that describes the elementary transition is seeded by a phase space distribution of fermions filling two diagonal quadrants. We study the geometry of this solution in some detail. We show that this solution can be interpreted as a time dependent geometry, interpolating between two asymptotic pp-waves in the far past and the far future. The singular solution at the transition can be resolved in two different ways, related by the particle-hole duality in the effective fermion description. Some universal features of the topology change are governed by two-dimensional Type 0B string theory, whose double scaling limit corresponds to the Penrose limit of AdS_5 x S^5 at topological transition. In addition, we present the full class of geometries describing the vicinity of the most general localized classical singularity that can occur in this class of half-BPS bubbling geometries.

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