Correlation functions of the global E8 symmetry currents in the Heterotic 5-brane theory

TL;DR

This paper computes the correlation functions of E8 symmetry currents in a 6D superconformal theory arising from a heterotic 5-brane, using three different theoretical approaches to validate the results.

Contribution

It provides a comprehensive calculation of E8 current correlators in various dimensions using field theory, supergravity, and F-theory, demonstrating their consistency.

Findings

Correlators computed in 6D and 4D match across methods.

Validation of superconformal symmetry through multiple theoretical frameworks.

Insights into the structure of E8 symmetry in heterotic 5-brane theories.

Abstract

We consider the 5-brane placed at one end of the world in the Heterotic $E_8 \times E_8$ theory. The low energy theory is a 6 dimensional $(1,0)$ superconformal theory with $E_8$ as a global symmetry. We calculate the two-point correlator of the $E_8$ current in 6 dimensions and in 4 dimensions after compactification on $\MT{2}$. This correlator is derived in 3 different ways: From field theory, from 11 dimensional supergravity and from F-theory.