Open Superstring Theory and Superalgebra of the Brane Antibrane System

TL;DR

This paper formulates open superstring theory using superalgebra, revealing that tachyonic superstrings are non-BPS and exploring brane-antibrane annihilation through superalgebraic structures.

Contribution

It introduces a superalgebraic framework for open superstring theory that incorporates tachyonic states and describes brane-antibrane interactions.

Findings

Tachyonic superstring supercharges lack zero eigenvalues.

Tachyonic superstrings are shown to be non-BPS states.

Superalgebras describe brane-antibrane annihilation processes.

Abstract

Open superstring theory is formulated in terms of a nondegenerate supertranslation algebra. A supercharge for a tachyonic superstring can be also defined classically by taking into account the leakage of the supercurrent which is compensated by fermionic and bosonic auxiliary fields. The anticommutator of two supercharges of the tachyonic superstring does not contain the zero eigenvalue and so this string is not a BPS state. Brane-antibrane annihilation scenarios are described by these superalgebras defined on the sum of world-volumes of a D-brane, an anti-D-brane and a tachyonic superstring.