Asymptotic Expansion of the N=4 Dyon Degeneracy

TL;DR

This paper investigates detailed asymptotic expansions of dyon degeneracies in N=4 string theories, calculating specific corrections and proposing a universal pattern for black hole entropy corrections.

Contribution

It provides explicit calculations of power and exponential suppressed corrections and introduces a macroscopic interpretation using the quantum entropy function.

Findings

Calculated power suppressed corrections up to second order

Determined first exponentially suppressed corrections

Proposed a universal pattern for black hole entropy corrections

Abstract

We study various aspects of power suppressed as well as exponentially suppressed corrections in the asymptotic expansion of the degeneracy of quarter BPS dyons in N=4 supersymmetric string theories. In particular we explicitly calculate the power suppressed corrections up to second order and the first exponentially suppressed corrections. We also propose a macroscopic origin of the exponentially suppressed corrections using the quantum entropy function formalism. This suggests a universal pattern of exponentially suppressed corrections to all four dimensional extremal black hole entropies in string theory.