Hidden and Generalized Conformal Symmetry of Kerr-Sen Spacetimes

Abstract

It is recently conjectured that generic non-extremal Kerr black hole could be holographically dual to a hidden conformal field theory in two dimensions. Moreover, it is known that there are two CFT duals (pictures) to describe the charged rotating black holes which correspond to angular momentum $J$ and electric charge $Q$ of the black hole. Furthermore these two pictures can be incorporated by the CFT duals (general picture) that are generated by $SL(2,\mathbb{Z})$ modular group. The general conformal structure can be revealed by looking at charged scalar wave equation in some appropriate values of frequency and charge. In this regard, we consider the wave equation of a charged massless scalar field in background of Kerr-Sen black hole and show in the "near region", the wave equation can be reproduced by the Casimir operator of a local $SL(2,\mathbb{R}{)}_L\times SL(2,\mathbb{R}{)}_R$ hidden conformal symmetry. We can find the exact agreement between macroscopic and microscopic physical quantities like entropy and absorption cross section of scalars for Kerr-Sen black hole. We then find an extension of vector fields that in turn yields an extended local family of $SL(2,\mathbb{R}{)}_L\times SL(2,\mathbb{R}{)}_R$ hidden conformal symmetries, parameterized by one parameter. For some special values of the parameter, we find a copy of $SL(2,\mathbb{R})$ hidden conformal algebra for the charged Gibbons-Maeda-Garfinkle-Horowitz-Strominger black hole in the strong deflection limit.

16 pages, new material and results added, extensive improvements in interpretation of results, references added

References in corpus (11)

• Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
• Extremal Isolated Horizon/CFT Correspondence
• Holographic RG flow dual to attractor flow in extremal black holes
• Hidden conformal symmetry of rotating charged black holes
• Hidden Conformal Symmetry of Extremal Black Holes
• Conformal Symmetry for Rotating D-branes
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Zeta(n) via hyperbolic functions
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Hidden Conformal Symmetry of Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• On the CFT duals for near-extremal black holes

Cited by in corpus (41)

• Destroying Kerr-Sen black holes
• Parameters estimation and strong gravitational lensing of nonsingular Kerr-Sen black holes
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Shadows of charged rotating black holes: Kerr-Newman versus Kerr-Sen
• Null Geodesics and Observables around Kerr-Sen Black Hole
• Periodic orbits around Kerr Sen black holes
• Stationary Charged Scalar Clouds around Black Holes in String Theory
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Instability of charged massive scalar fields in bound states around Kerr-Sen black holes
• Magnetized Kerr/CFT Correspondence
• Constraints on Einstein-Maxwell dilaton-axion gravity from X-ray reflection spectroscopy
• Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
• Implications of Einstein-Maxwell dilaton-axion gravity from the black hole continuum spectrum
• Signatures of Einstein-Maxwell dilaton-axion gravity from the observed jet power and the radiative efficiency
• Accelerating black holes in the low energy heterotic string theory
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Deformed Hidden Conformal Symmetry for Rotating Black Holes
• Thermodynamic Products for Sen Black Hole
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Rotating black holes and exotic compact objects in the Kerr/CFT correspondence within Rastall gravity
• Merger estimates for Kerr-Sen black holes
• Hidden conformal symmetry for the accelerating Kerr black holes
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Hidden conformal symmetry for dyonic Kerr-Sen black hole and its gauged family
• Kerr-Sen-Taub-NUT spacetime and circular geodesics
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• Analytical Study of a Kerr-Sen Black Hole and a Charged Massive Scalar Field
• Calculating the Hawking Temperatures of Conventional Black Holes in the f(R) Gravity Models with the RVB Method
• Pair production of scalars around near-extremal Kerr-Sen black holes
• Choked accretion onto Kerr-Sen black holes in Einstein-Maxwell-dilaton-axion gravity
• Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity
• A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
• Vector Fields in Kerr/CFT Correspondence
• Dual CFT on Nariai limit for Kerr-Sen-dS black holes
• Hidden conformal symmetry and pair production near the cosmological horizon in Kerr-Newman-Taub-NUT-de Sitter spacetime
• Hidden conformal symmetries for black holes in modified gravity
• Minimal Surfaces and Generalized Einstein-Maxwell-dilaton Theory
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow
• Self energy in Kerr-Sen space-time incorporated to overspinning and overcharging problems