Wrapped Magnetized Branes: Two Alternative Descriptions?

TL;DR

This paper compares two distinct descriptions of magnetized D-branes on a torus, highlighting their differences in boundary states, vertex operators, and resulting string amplitudes, with implications for string theory modeling.

Contribution

It introduces and contrasts two inequivalent frameworks for describing wrapped magnetized D-branes, one using non-abelian gauge bundles and the other via T-duality transformations.

Findings

The two descriptions produce different string amplitudes.

Gauge bundle description involves momentum-dependent Chan-Paton factors.

T-duality relates the two descriptions but does not equate their physical predictions.

Abstract

We discuss two inequivalent ways for describing magnetized D-branes wrapped N times on a torus T^2. The first one is based on a non-abelian gauge bundle U(N), while the second one is obtained by means of a Narain T-duality transformation acting on a theory with non-magnetized branes. We construct in both descriptions the boundary state and the open string vertices and show that they give rise to different string amplitudes. In particular, the description based on the gauge bundle has open string vertex operators with momentum dependent Chan-Paton factors.