Bubble Bag End: A Bubbly Resolution of Curvature Singularity
Abstract
We construct a family of smooth charged bubbling solitons in $\mathbb{M}^4 \times$T$^2$, fourdimensional Minkowski with a twotorus. The solitons are characterized by a degeneration pattern of the torus along a line in $\mathbb{M}^4$ defining a chain of topological cycles. They live in the same parameter regime as nonBPS nonextremal fourdimensional black holes, and are ultracompact with sizes ranging from miscroscopic to macroscopic scales. The sixdimensional framework can be embedded in type IIB supergravity where the solitons are identified with geometric transitions of nonBPS D1D5KKm bound states. Interestingly, the geometries admit a minimal surface that smoothly opens up to a bubbly end of space. Away from the solitons, the solutions are indistinguishable from a new class of singular geometries. By taking a limit of large number of bubbles, the soliton geometries can be matched arbitrarily close to the singular spacetimes. This provides the first classical resolution of a curvature singularity beyond the framework of supersymmetry and supergravity by blowing up topological cycles wrapped by fluxes at the vicinity of the singularity.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.13551
 Bibcode:
 2021arXiv210713551B
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 32 pages + appendix, 14 figures, v2: minor edits and references added