Abstract
For decades intersecting D-branes and O-planes have been playing a very important role in string phenomenology in the context of particle physics model building and in the context of flux compactifications. The corresponding supergravity equations are hard to solve so generically solutions only exist in a so-called smeared limit where the delta function sources are replaced by constants. We are showing here that supergravity solutions for two perpendicularly intersecting localized sources in flat space do not exist for a generic diagonal metric Ansatz. We show this for two intersecting sources with p = 1, 2, 3, 4, 5, 6 spatial dimensions that preserve 8 supercharges, and we allow for fully generic fluxes.
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Acknowledgments
We like to thank David Andriot, Iosif Bena, Mariana Graña, Daniel Junghans, Douglas Smith, Christoph Uhlemann, Vincent Van Hemelryck and Thomas Van Riet for useful discussions. We are indebted to Daniel Junghans for invaluable feedback on an earlier version of this draft. This work is supported in part by the NSF grant PHY-2210271. T.W. would like to thank the LAPTh - CNRS for hospitality during part of this work. His visit was made possible thanks to the AAP USMB dSCordes (2023). This research was supported in part by grant NSF PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP).
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Bardzell, J., Federico, K., Smith, D. et al. On the absence of supergravity solutions for localized, intersecting sources. J. High Energ. Phys. 2024, 83 (2024). https://doi.org/10.1007/JHEP06(2024)083
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DOI: https://doi.org/10.1007/JHEP06(2024)083