The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes

TL;DR

This paper details the tadpole cancellation and Green-Schwarz mechanisms in Type IIB orientifolds with D3- and D7-branes, revealing additional constraints from induced D5-brane charges crucial for anomaly cancellation.

Contribution

It extends the analysis of tadpole conditions and Green-Schwarz mechanism to include D9- and D5-branes, providing new rules for computing chiral spectra in these setups.

Findings

Additional D5-brane charge cancellation constraints are identified.

The analysis includes D9- and D5-branes, broadening the scope of previous models.

Rules for calculating chiral spectra in complex brane configurations are established.

Abstract

In this paper, we work out in detail the tadpole cancellation conditions as well as the generalized Green-Schwarz mechanism for type IIB orientifold compactifications with D3- and D7-branes. We find that not only the well-known D3- and D7-tadpole conditions have to be satisfied, but in general also the vanishing of the induced D5-brane charges leads to a non-trivial constraint. In fact, for the case $h^{1,1}_{-} \neq 0$ the latter condition is important for the cancellation of chiral anomalies. We also extend our analysis by including D9- as well as D5-branes and determine the rules for computing the chiral spectrum of the combined system.