The octic E8 invariant

TL;DR

This paper provides an explicit expression for the primitive E8-invariant tensor with eight symmetric indices, expressed in a Spin(16)/Z2-covariant notation, advancing understanding of E8 symmetry structures.

Contribution

It introduces a new explicit form of the E8-invariant tensor with eight symmetric indices in a covariant notation, enhancing mathematical tools for E8 symmetry analysis.

Findings

Explicit E8-invariant tensor expression derived

Tensor expressed in Spin(16)/Z2-covariant notation

Facilitates further research in E8 symmetry structures

Abstract

We give an explicit expression for the primitive E8-invariant tensor with eight symmetric indices. The result is presented in a manifestly Spin(16)/Z2-covariant notation.