Torsion and the Gravity Dual of Parity Symmetry Breaking in AdS4/CFT3 Holography
arXiv:0809.5258 · doi:10.1088/1126-6708/2009/03/033
Abstract
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.
26 pages, 4 figures; v2: minor improvements, references added
References in corpus (21)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Building an AdS/CFT superconductor
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Quantum critical transport, duality, and M-theory
- Holographic model of superfluidity
- Hall conductivity from dyonic black holes
- Colorful horizons with charge in anti-de Sitter space
- Ohm's Law at strong coupling: S duality and the cyclotron resonance
- A Holographic Superconductor in an External Magnetic Field
- The gravity dual to a quantum critical point with spontaneous symmetry breaking
- Gravity Dual of a Quantum Hall Plateau Transition
- From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
- Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
- Gravitational Duality Transformations on (A)dS4
- Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
- Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem
- High Temperature Superconductivity and Effective Gravity
- Holographic Aspects of Electric-Magnetic Dualities