Currents and Moduli in the (4,0) theory

TL;DR

This paper explores the (4,0) theory via black strings in five dimensions, detailing its moduli space, spectrum, and entropy formula, and investigates its potential as a solvable conformal field theory.

Contribution

It explicitly describes the moduli space, spectrum, and entropy formula of the (4,0) theory, and discusses its possible solvable CFT description.

Findings

Explicit description of the moduli space including global structure

Derivation of an entropy formula for near-extreme black holes

Reduction of the entropy formula to the E(7,7) invariant in the BPS limit

Abstract

We consider black strings in five dimensions and their description as a (4,0) CFT. The CFT moduli space is described explicitly, including its subtle global structure. BPS conditions and global symmetries determine the spectrum of charged excitations, leading to an entropy formula for near-extreme black holes in four dimensions with arbitrary charge vector. In the BPS limit, this formula reduces to the quartic E(7,7) invariant. The prospects for a description of the (4,0) theory as a solvable CFT are explored.