Non-geometric orbifolds and wrapping rules
arXiv:1407.5576 · doi:10.1007/JHEP09(2014)170
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/(Z_2 \times Z_2 ), 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 \times T^2 and the Type II string compactified on a Calabi-Yau threefold.
arXiv comment26 pages, 8 tables
References in corpus (36)
- Dirichlet-Branes and Ramond-Ramond Charges
- String Theory Dynamics In Various Dimensions
- Unity of Superstring Dualities
- Mirror Symmetry is T-Duality
- Exact Results for N=2 Compactifications of Heterotic Strings
- Open Strings
- E_11 and M Theory
- Brane Supersymmetry Breaking
- The Spacetime of Double Field Theory: Review, Remarks, and Outlook
- K3--Fibrations and Heterotic-Type II String Duality
- On Lagrangians and Gaugings of Maximal Supergravities
- Second-Quantized Mirror Symmetry
- Maximal gauged supergravity in three dimensions
- On Orbifolds with Discrete Torsion
- Enhanced Gauge Symmetries and K3 Surfaces
- The E_{11} origin of all maximal supergravities
- On the Ubiquity of K3 Fibrations in String Duality
- E(11) and the Embedding Tensor
- Dual String Pairs With N=1 And N=2 Supersymmetry In Four Dimensions
- Duality Between the Webs of Heterotic and Type II Vacua
- IIB Supergravity Revisited
- String Solitons and T-duality
- Chains of N=2, D=4 heterotic/type II duals
- IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
- Counting supersymmetric branes
- Searching for K3 Fibrations
- Branes and wrapping rules
- IIA/IIB Supergravity and Ten-forms
- Brane orbits
- Dual doubled geometry
- Heterotic wrapping rules
- Branes, Weights and Central Charges
- Towards a classification of branes in theories with eight supercharges
- Heterotic-Type II duality and wrapping rules
- Heterotic-Type II duality in the hypermultiplet sector
- N=2 Heterotic-Type II duality and bundle moduli