Crosscap states and Boundary states in D=4,N=1,type-IIB Orientifold Theories
Abstract
We construct boundary state and crosscap state in D=4,N=1 type-IIB ZN orientifold and investigate properties of amplitude. We find that the boundary state of a cylinder is different from the boundary state of a M\"obius strip. Using these states, we find that amplitudes do not factorize in ZN(N=even) orientifold. Tadpole divergence remain in Z4, Z8, Z'8 and Z'12 model due to volume dependence of boundary and crosscap state. On the other hand the amplitude of Z3 and Z7 orientifolds factorize so that we obtain the gauge groups of the model by employing the massless tadpole cancellation condition.
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