More on Mixed Boundary Conditions and D-branes Bound States

TL;DR

This paper explores how different boundary conditions on open strings lead to new D-brane bound states with unique properties, including non-commutative features, and provides their physical characteristics and M-theoretic interpretations.

Contribution

It introduces new brane bound states arising from mixed boundary conditions and analyzes their interactions, charge densities, tensions, and non-commutative properties.

Findings

Discovery of $(p-2,p)$ brane bound states with non-commutative features

Calculation of charge densities and tensions of new bound states

M-theoretic interpretation of the bound states

Abstract

In this article, applying different types of boundary conditions; Dirichlet, Neumann, or Mixed, on open strings we realize various new brane bound states in string theory. Calculating their interactions with other D-branes, we find their charge densities and their tension. A novel feature of $(p-2,p)$ brane bound state is its "non-commutative" nature which is manifestly seen both in the open strings mode expansions and in their scattering off a $D_p$-brane. Moreover we study three or more object bound states in string theory language. Finally we give a M-theoretic picture of these bound states.