Torsional degrees of freedom in AdS4/CFT3
arXiv:1004.1640
Abstract
We discuss the holographic implications of torsional degrees of freedom in the context of AdS4/CFT3, emphasizing in particular their physical interpretation as carriers of the non-trivial gravitational magnetic field, i.e. the part of the gravitational magnetic field not determined by the frame field. As a concrete example we present a new exact 4d gravitational background with torsion and argue that it corresponds to the holographic dual of a 3d system undergoing parity symmetry breaking. Finally, we compare our new gravitational background with known wormhole solutions - with and without cosmological constant - and argue that they can all be unified under an intriguing "Kalb-Ramond superconductivity" framework.
31 pages, 5 figures
References in corpus (20)
- 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
- Torsion and the Gravity Dual of Parity Symmetry Breaking in AdS4/CFT3 Holography
- Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem
- High Temperature Superconductivity and Effective Gravity