Multibrane Solutions in Open String Field Theory

TL;DR

This paper investigates a class of open string field theory solutions dependent on a holomorphic function, demonstrating their energy quantization and discussing potential anomalies and regularity conditions.

Contribution

It introduces a new class of solutions in open string field theory and analyzes their properties, including energy and anomaly considerations.

Findings

Solutions have well-defined energy as integer multiples of D-brane tension

Potential anomalies can be mitigated with regularity conditions

Anomalies in equations of motion may require a phantom term

Abstract

We study properties of a class of solutions of open string field theory which depend on a single holomorphic function F(z). We show that the energy of these solutions is well defined and is given by integer multiples of a single D-brane tension. Potential anomalies are discussed in detail. Some of them can be avoided by imposing suitable regularity conditions on F(z), while the anomaly in the equation of motion seems to require an introduction of the so called phantom term.