Absorption and Hawking Radiation of Minimal and Fixed Scalars, and AdS/CFT correspondence

Abstract

We present a complete derivation of absorption cross-section and Hawking radiation of minimal and fixed scalars from the Strominger-Vafa model of five-dimensional black hole, starting right from the moduli space of the D1-D5 brane system. We determine the precise coupling of this moduli space to bulk modes by using the AdS/CFT correspondence. Our methods resolve a long-standing problem regarding emission of fixed scalars. We calculate three-point correlators of operators coupling to the minimal scalars from supergravity and from SCFT, and show that both vanish. We make some observations about how the AdS/SYM correspondence implies a close relation between large $N$ equations of motion of $d$-dimensional gauge theory and supergravity equations on $Ad{S}_{d+1}$-type backgrounds. We compare with the explicit nonlocal transform relating 1 and 2 dimensions in the context of $c=1$ matrix model.

27 pages, latex, no figures. Important comments added regarding (1) precise agreement of Hawking radiation rate, (2) the Ramond-Ramond sector and (3) gauge invariance of microstate. References added

References in corpus (21)

• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• AdS3 Black Holes and a Stringy Exclusion Principle
• Matrix String Theory
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Linear Dilatons, NS5-branes and Holography
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Universal Low-Energy Dynamics for Rotating Black Holes
• Lectures on D-branes
• Extremal Correlators in the AdS/CFT Correspondence
• On The Conformal Field Theory Of The Higgs Branch
• Evaluation Of Glueball Masses From Supergravity
• Absorption of photons and fermions by black holes in four dimensions
• Can the effective string see higher partial waves?
• Testing Effective String Models of Black Holes with Fixed Scalars
• Matrix Models of AdS Gravity
• Comments on String Theory on $Ad{S}_3$
• Gauge Theory Description of D-brane Black Holes: Emergence of the Effective SCFT and Hawking Radiation
• Black hole absorption cross-sections and the anti-de Sitter -- conformal field theory correspondence
• Intermediate Scalars and the Effective String Model of Black Holes
• The role of fixed scalars in scattering off a 5D black hole
• The emergence of space-time gravitational physics as an effective theory from the c=1 matrix model

Cited by in corpus (16)

• Large N Field Theories, String Theory and Gravity
• Microscopic Formulation of Black Holes in String Theory
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• Modave Lectures on Fuzzballs and Emission from the D1-D5 System
• Regular BPS black holes: macroscopic and microscopic description of the generating solution
• The entropy of black holes: a primer
• Regular R-R and NS-NS BPS black holes
• D1/D5 System with B-field, Noncommutative Geometry and the CFT of the Higgs Branch
• Firewalls in AdS/CFT
• Exact Absorption Probability in the Extremal Six-Dimensional Dyonic String Background
• New instability of non-extremal black holes: spitting out supertubes
• Microstate Dependence of Scattering from the D1-D5 System
• A review of the D1/D5 system and five dimensional black hole from supergravity and brane viewpoint
• Lectures on the Microscopic Modeling of the 5-dim. Black Hole of IIB String Theory and the $D_1-D_5$ System
• Status of Microscopic Modeling of Black Holes by D1-D5 System
• Duality and Combinatorics of Long Strings in ADS3