Positronium-like states from supergravity

TL;DR

This paper investigates semi-classical rotating open strings near D-branes, modeling positronium-like bound states of W-bosons in gauge theories, and analyzes their energy-angular momentum relations.

Contribution

It introduces a string-theoretic model for positronium-like states using supergravity backgrounds and explores their properties in various D-brane configurations.

Findings

Strings exhibit specific energy-angular momentum relations.

Bound states resemble positronium in gauge theories.

Behavior varies with different D-brane backgrounds.

Abstract

We study semi-classical rotating open strings ending on a probe Dp-brane close to a stack of extremal, non-extremal Dp-branes and Dp-branes with $B$-fields. These states may be interpreted as positronium-like bound states of spinning W-bosons in an $SU(N+1) \to SU(N) \times U(1)$ theory. In each case, we describe the behaviour of the strings and examine the relation between the energy and the angular momentum of the bound state.