Abstract
We show that the number of half-supersymmetric p-branes in the Type II theories compactified on orbifolds is determined by the wrapping rules recently introduced, provided that one accounts correctly for both geometric and non-geometric T-dual configurations. Starting from the Type II theories compactified on K3, we analyze their toroidal dimensional reductions, showing how the resulting half-supersymmetric p-branes satisfy the wrapping rules only by taking into account all the possible higher-dimensional origins. We then consider Type II theories compactified on the orbifold T 6 /(ℤ2 × ℤ2), whose massless four-dimensional theory is an \( \mathcal{N} \) = 2 supergravity. Again, the wrapping rules are obeyed only if one includes the complete orbit of the T-duality group, namely either Type IIA or Type IIB theories compactified on either the geometric or the non-geometric T-dual orbifold. Finally, we comment on the interpretation of our results in the framework of the duality between the Heterotic string compactified on K3 × T 2 and the Type II string compactified on a Calabi-Yau threefold.
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Pradisi, G., Riccioni, F. Non-geometric orbifolds and wrapping rules. J. High Energ. Phys. 2014, 170 (2014). https://doi.org/10.1007/JHEP09(2014)170
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DOI: https://doi.org/10.1007/JHEP09(2014)170