Four-dimensional N=1 Z_N X Z_M Orientifolds
Gysbert Zwart

TL;DR
This paper analyzes four-dimensional orientifold models with Z_N x Z_M orbifold groups, deriving tadpole equations, spectra, and discovering the absence of consistent solutions for certain orbifold combinations.
Contribution
It provides explicit calculations of tadpole conditions and spectra for Z_N x Z_M orientifolds, highlighting cases with no consistent solutions.
Findings
No solutions for Z_2 x Z_4 and Z_4 x Z_4 models
Derived tadpole equations for various orbifolds
Presented massless spectra of consistent models
Abstract
We calculate the tadpole equations and their solutions for a class of four-dimensional orientifolds with orbifold group Z_N X Z_M, and we present the massless bosonic spectra of these models. Surprisingly we find no consistent solutions for the models with Z_2 X Z_4 and Z_4 X Z_4 orbifold groups.
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