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 T6/(Z2 × Z2), whose massless four-dimensional theory is an 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 × T2 and the Type II string compactified on a Calabi-Yau threefold.

Pradisi, G., Riccioni, F. (2014). Non-geometric orbifolds and wrapping rules. JOURNAL OF HIGH ENERGY PHYSICS, 09, 170 [10.1007/JHEP09(2014)170].

Non-geometric orbifolds and wrapping rules

PRADISI, GIANFRANCO;
2014-01-01

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 T6/(Z2 × Z2), whose massless four-dimensional theory is an 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 × T2 and the Type II string compactified on a Calabi-Yau threefold.
2014
Pubblicato
Rilevanza internazionale
Articolo
Comitato scientifico
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
p-branes, Superstrings and Heterotic Strings, String Duality
http://link.springer.com/article/10.1007%2FJHEP09%282014%29170
Pradisi, G., Riccioni, F. (2014). Non-geometric orbifolds and wrapping rules. JOURNAL OF HIGH ENERGY PHYSICS, 09, 170 [10.1007/JHEP09(2014)170].
Pradisi, G; Riccioni, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/100327
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