Matrix Description of Heterotic Theory on K3

TL;DR

This paper demonstrates a matrix-based approach to heterotic string theories on K3 surfaces, linking $E_8 imes E_8$ and $Spin(32)/Z_2$ models through duality and world-volume theories.

Contribution

It establishes a novel matrix description of heterotic theories on K3, connecting different gauge groups via duality and five-brane world-volume theories.

Findings

Matrix description corresponds to five-brane world-volume theory.

Shows duality between $E_8 imes E_8$ and $Spin(32)/Z_2$ heterotic theories.

Provides a new framework for understanding heterotic string compactifications.

Abstract

The Matrix description of certain $E_8\times E_8$ heterotic theories on $T^4/Z_2$ is shown to correspond to the world-volume theory of $Spin(32)/Z_2$ heterotic five-branes on the dual $T^4/Z_2\times S^1$.