Tadpole and Anomaly Cancellation Conditions in D-brane Orbifold Models

TL;DR

This paper derives generalized RR twisted tadpole cancellation conditions for consistent D=4 Z_N orbifold models in Type IIB string theory, analyzing matter spectra, anomalies, and tachyon presence in non-supersymmetric setups.

Contribution

It provides a comprehensive derivation of tadpole cancellation conditions and explores their implications for matter spectra and anomalies in D-brane orbifold models.

Findings

Tadpole cancellation conditions are generalized for various orbifold models.

Matter spectra and anomaly contributions are explicitly computed.

Tachyonic instabilities are identified in non-supersymmetric configurations.

Abstract

We derive and generalize the RR twisted tadpole cancellation conditions necessary to obtain consistent D=4, Z_N orbifold compactifications of Type IIB string theory. At least two different types of branes (or antibranes with opposite RR charges) are introduced into the construction. The matter spectra and their contribution to the non-abelian gauge anomalies are computed. Their relation with the tadpole cancellation conditions is also reviewed. The presence of tachyons is a common feature for some of the non-supersymmetric systems of branes.