CFT Duals for Black Rings and Black Strings

Abstract

Holographic dualities between certain gravitational theories in four and five spacetime dimensions and 2D conformal field theories (CFTs) have been proposed based on hidden conformal symmetry exhibited by the radial Klein-Gordon (KG) operator in a so-called near-region limit. In this paper, we examine hidden conformal symmetry of black rings and black strings solutions, thus demonstrating that the presence of hidden conformal symmetry is not linked to the separability of the KG-equation (or the existence of a Killing-Yano tensor). Further, we will argue that these classes of non-extremal black holes have a dual 2D CFT. New revised monodromy techniques are developed to encompass all the cases we consider.

28 pages

References in corpus (8)

• Bicycling Black Rings
• `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
• Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes
• Greybody Factors and Charges in Kerr/CFT
• Superradiant instability of large radius doubly spinning black rings
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• Holographic Descriptions of Black Rings
• A General Black String and its Microscopics

Cited by in corpus (2)

• Love Numbers for Rotating Black Holes in Higher Dimensions
• Love symmetry in higher-dimensional rotating black hole spacetimes