Triality of Four Dimensional Strings and Networks

TL;DR

This paper demonstrates the existence of various string-networks in different string theories through supersymmetry analysis, providing evidence for the triality symmetry in four-dimensional string models.

Contribution

It applies string-triality to establish the presence of heterotic, IIB, and IIA string-networks and analyzes their supersymmetry properties, supporting the concept of four-dimensional string-triality.

Findings

Existence of heterotic T and U-string networks on T^6

Presence of S and T-string networks in IIB on K3 x T^2

Confirmation of supersymmetry in these string networks

Abstract

We apply the string-triality\cite{duffetal} to argue the existence of the string-networks of solitonic T and U-strings in the heterotic theory on T^6, S and T-strings in IIB on K3 x T^2 and, S and U-strings in IIA on K3 x T^2. We then show the existence of the above heterotic string networks by analyzing the supersymmetry property of the supergravity solutions. The consistency of these networks with supersymmetry in the case of IIA and IIB theories is also argued. Our results therefore give further evidence in favor of the string-triality in four dimensions.