Abstract
We give a detailed (microscopic) description of the geometric and non-geometric fundamental branes and their bound states in Type II superstring compactifications preserving \( \mathcal{N} \) = 6 supersymmetry. We consider general boundary states that couple to the twisted sector and compute the relevant annulus amplitudes. We check consistency of the construction by relating the ‘transverse’ channel, corresponding to closed-string ‘tree-level’ exchange, with the ‘direct’ open-string loop channel. Focussing on the Type IIA frame, we show that D0-D4 have the expected tension for a geometric brane, while the non-geometric D2-D6 boundary states have a tension equal to \( 1/\sqrt{K} \) the one of a geometric brane for the ZK orbifold. This is consistent with Fricke T-duality of the \( \mathcal{N} \) = 6 model.
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Acknowledgments
We would like to thank Carlo Angelantonj, Costas Bachas, Emilian Dudas, Matthias Gaberdiel and Gianfranco Pradisi for useful discussions. MB thanks the MIUR PRIN contract 2020KR4KN2 “String Theory as a bridge between Gauge Theories and Quantum Gravity” and the INFN project ST&FI “String Theory and Fundamental Interactions” for partial support. MB gratefully acknowledges the hospitality of CPHT and CNRS while this project was started.
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Bianchi, M., Bossard, G. Non-geometric BPS branes on T-folds. J. High Energ. Phys. 2024, 162 (2024). https://doi.org/10.1007/JHEP02(2024)162
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DOI: https://doi.org/10.1007/JHEP02(2024)162