New BPS States from Bosonic/Heterotic Duality

TL;DR

This paper explores a proposed duality between heterotic superstrings and noncritical bosonic strings, constructing dual pairs of BPS solutions that support the duality's validity.

Contribution

It introduces explicit dual pairs of BPS and pseudo-BPS solutions in heterotic and bosonic strings, providing evidence for the proposed duality.

Findings

Construction of dual BPS and pseudo-BPS solutions

Explicit Killing spinors for the solutions

Support for the bosonic/heterotic duality

Abstract

In this paper, we consider the recently proposed bosonic/heterotic duality that relates the heterotic superstrings to the noncritical bosonic string. Although the latter is nonsupersymmetric, it can be viewed as pseudo-supersymmetric in that the theory admits a consistent set of Killing spinor equations whose integrability conditions are satisfied by the equations of motion. We construct two classes of the dual pairs of BPS and pseudo-BPS solutions in the respective heterotic and bosonic strings and obtain their explicit Killing spinors. The existence of such dual pairs lends support to the proposed duality.