Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-30
JHEP 0903:033,2009
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 4 figures; v2: minor improvements, references added
Scientific paper
10.1088/1126-6708/2009/03/033
We study four dimensional gravity with a negative cosmological constant deformed by the Nieh-Yan torsional topological invariant with a spacetime-dependent coefficient. We find an exact solution of the Euclidean system, which we call the torsion vortex, having two asymptotic AdS4 regimes supported by a pseudoscalar with a kink profile. We propose that the torsion vortex is the holographic dual of a three dimensional system that exhibits distinct parity breaking vacua. The torsion vortex represents a (holographic) transition between these distinct vacua. We expect that from the boundary point of view, the torsion vortex represents a `domain wall' between the two distinct vacua. From a bulk point of view, we point out an intriguing identification of the parameters of the torsion vortex with those of an Abrikosov vortex in a Type I superconductor. Following the analogy, we find that external Kalb-Ramond flux then appears to support bubbles of flat spacetime within an asymptotically AdS geometry.
Hoang Nam N.
Leigh Robert G.
Petkou Anastasios C.
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