Emerging AdS from Extremally Rotating NS5-branes

Abstract

We investigate the near-horizon limit of extremally rotating NS5-branes. The resulting geometry has SL(2,R) \times U(1)^2 isometry. The asymptotic symmetry group contains a chiral Virasoro algebra, and we obtain two different realizations depending on the boundary conditions we impose. When one of the two angular momenta vanishes, the symmetry is enhanced to AdS_3. The entropy of the boundary theory can be estimated from the Cardy formula and it agrees with the Bekenstein-Hawking entropy of the bulk theory. We can embed the extremally rotating NS5-brane geometry in an exactly solvable string background, which may yield microscopic understanding of this duality, especially about the mysterious enhancement of the symmetry from AdS_2 to AdS_3. The construction suggests emerging Virasoro symmetries in the extreme corner of the (1+5) dimensional little string theory.

15 pages, v2: references added, numerical factors corrected, v3: boundary conditions clarified, to be published in PLB

References in corpus (5)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• CFT Duals for Extreme Black Holes
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Holographic Duals of Kaluza-Klein Black Holes
• Supersymmetric Gödel and warped black holes in string theory

Cited by in corpus (9)

• Central Charges in Extreme Black Hole/CFT Correspondence
• The Kerr/CFT Correspondence and String Theory
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• Extremal Isolated Horizon/CFT Correspondence
• 5D Extremal Rotating Black Holes and CFT duals
• Conformal Symmetry for Rotating D-branes
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity