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Crosscap states and Boundary states in D=4,N=1,type-IIB Orientifold Theories

H. Kataoka·Hikaru Sato
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Abstract

We construct boundary state and crosscap state in D=4,N=1 type-IIB Z_N orientifold and investigate properties of amplitude. We find that the boundary state of a cylinder is different from the boundary state of a Möbius strip. Using these states, we find that amplitudes do not factorize in Z_N(N=even) orientifold. Tadpole divergence remain in Z_4, Z_8, Z'_8 and Z'_{12} model due to volume dependence of boundary and crosscap state. On the other hand the amplitude of Z_3 and Z_7 orientifolds factorize so that we obtain the gauge groups of the model by employing the massless tadpole cancellation condition.

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H. Kataoka, Hikaru Sato. 2002-03-01. Crosscap states and Boundary states in D=4,N=1,type-IIB Orientifold Theories. https://arxiv.org/abs/hep-th/0203009

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