Two-charge small black hole entropy: String-loops and multi-strings

Abstract

We investigate the inclusion of 10-dimensional string loop corrections to the entropy function of two-charge extremal small black holes of the heterotic string theory compactified on S^1 x T^5 and show that the entropy is given by π\sqrt{a q_1 q_2+b q_1} where q_1 and q_2 are the charges with q_1 >> q_2 >> 1 and a and b are constants. Incorporating certain multi-string states into the microstate counting, we show that the new statistical entropy is consistent with the macroscopic scaling for one and two units of momentum (winding) and large winding (momentum). We discuss our scaling from the point of view of related AdS_3 central charge and counting of chiral primaries in superconformal quantum mechanics as well.

18 pages

References in corpus (7)

• Black hole partition functions and duality
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Strings, Black Holes, and Quantum Information
• Non-Supersymmetric Attractors in $R^2$ Gravities
• Lovelock type gravity and small black holes in heterotic string theory
• Extremal single-charge small black holes: Entropy function analysis
• Entropy Function for 4-Charge Extremal Black Holes in Type IIA Superstring Theory

Cited by in corpus (16)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Counting Gauge Invariants: the Plethystic Program
• Counting BPS operators in N=4 SYM
• On Attractor Mechanism and Entropy Function for Non-extremal Black Holes/Branes
• On Entropy Function for Supersymmetric Black Rings
• Entropy Function for Non-Extremal Black Holes in String Theory
• Extremal black holes in D=5: SUSY vs. Gauss-Bonnet corrections
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• From Fundamental Strings to Small Black Holes
• At the horizon of a supersymmetric AdS_5 black hole: Isometries and half-BPS giants
• Finite N Index and Angular Momentum Bound from Gravity
• Double-Horizon Limit and Decoupling of the Dynamics at the Horizon
• More on entropy function formalism for non-extremal branes
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes