SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair

TL;DR

This paper constructs and analyzes SO(32) spinor states in type I string theory as solitonic solutions of tachyon fields on brane-antibrane pairs, providing a field-theoretic and conformal field theory description of these non-BPS states.

Contribution

It introduces a novel soliton-based construction of SO(32) spinor states in type I string theory and extends the approach to other D-brane configurations.

Findings

Constructed SO(32) spinor as a tachyon kink on D-string anti-D-string pair.

Identified the spinor state as a non-supersymmetric D0-brane.

Extended the construction to D0-branes in type IIA and D-string in type I via tachyon vortices.

Abstract

We construct the SO(32) spinor state in weakly coupled type I string theory as a kink solution of the tachyon field on the D-string - anti-D-string pair and calculate its mass. We also give a description of this system in terms of an exact boundary conformal field theory and show that in this description this state can be regarded as a non-supersymmetric D0-brane in type I string theory. This construction can be generalised to represent the D0-brane in type IIA string theory as a vortex solution of the tachyon field on the membrane anti-membrane pair, and the D-string of type I string theory as a topological soliton of the tachyon field on the D5-brane anti- D5-brane pair.