On D-Brane Boundary State Analysis in Pure-Spinor Formalism

TL;DR

This paper develops a method to analyze D-brane boundary states within the pure spinor formalism by relaxing constraints, enabling new calculations for non-BPS D-branes and their interactions in superstring theory.

Contribution

It introduces a novel approach to construct boundary states in pure spinor formalism, extending previous work and providing rules for physical computations involving D-branes.

Findings

Constructed boundary states relaxing pure spinor constraints.

Provided rules for disk one point function calculations.

Discussed challenges in open-closed duality in force computations.

Abstract

We explore a particular approach to study D-brane boundary states in Berkovits' pure spinor formalism of superstring theories. In this approach one constructs the boundary states in the relevant conformal field theory by relaxing the pure spinor constraints. This enables us to write down the open string boundary conditions for non-BPS D-branes in type II string theories, generalizing our previous work in light-cone Green-Schwarz formalism. As a first step to explore how to apply these boundary states for physical computations we prescribe rules for computing disk one point functions for the supergravity modes. We also comment on the force computation between two D-branes and point out that it is hard to make the world-sheet open-closed duality manifest in this computation.