An Orbifold and an Orientifold of Type IIB Theory on K3 $\times$ K3

Abstract

We consider the compactification of type IIB superstring theory on K3 $\times$ K3. We obtain the massless spectrum of the resulting two dimensional theory and show that the model is free of gravitational anomaly. We then consider an orbifold and an orientifold projection of the above model and find that their spectrum match identically and are anomaly-free as well. This gives a dual pair of type IIB theory in two dimensions and can be understood as a consequence of SL(2, Z) symmetry of the ten dimensional theory. We also point out the M-theory duals of the type IIB compactifications considered here.

15 pages, latex, no figures, some statements regarding the twisted sector states have been corrected, M-theory duals have been indicated, some references added

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• The Power of M Theory
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Cited by in corpus (4)

• D-Branes and Quotient Singularities of Calabi-Yau Fourfolds
• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua
• Strings from Orientifolds
• Orbifolds of M-Theory and Type II String Theories in Two Dimensions