Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes

Abstract

We study the (anti-)self-duality conditions under which the electric and magnetic parts of the conserved charges of the dyonic Kerr-Newman-NUT-AdS solution become equivalent. Within a holographic framework, the stress tensor and the boundary Cotton tensor are computed from the electric/magnetic content of the Weyl tensor. The holographic stress tensor/Cotton tensor duality is recovered along the (anti-)self-dual curve in parameter space. We show that the latter not only implies a duality relation for the mass but also for the angular momentum. The partition function is computed to first order in the saddle-point approximation and a BPS bound is obtained. The ground state of the theory is enlarged to all the (anti-)self-dual configurations when the $SO(4)$ and $U(1)$ Pontryagin densities are introduced. We demonstrate this at the level of the action and variations thereof.

v1: 18 pages; v2: References added. Accepted for publication in PRD

References in corpus (20)

• Building an AdS/CFT superconductor
• General Kerr-NUT-AdS Metrics in All Dimensions
• A Holographic Superconductor in an External Magnetic Field
• An Analytic Holographic Superconductor
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes
• A Rotating Holographic Superconductor
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• Gravitational Duality Transformations on (A)dS4
• Counterterms, Kounterterms, and the variational problem in AdS gravity
• Topological Terms and the Misner String Entropy
• Energy-momentum/Cotton tensor duality for AdS4 black holes
• 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
• Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes
• Conformal Mass in AdS gravity
• Conformal renormalization of scalar-tensor theories
• Aspects of Holography of Taub-NUT-AdS4
• Duality in linearized gravity and holography
• Magnetic response of holographic Lifshitz superconductors:Vortex and Droplet solutions

Cited by in corpus (5)

• Thermodynamics of charged and accelerating black holes
• Radiation in Fluid/Gravity and the Flat Limit
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Conical singularity in spacetimes with NUT is observer-dependent
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields