Abstract
We investigate quantum fluctuations of metric components in coherent 1/2-BPS bound states of n1 fundamental strings and n5 NS5-branes. The leading order contribution in an expansion in 1/(n1n5) is calculated via a combination of analytical and numerical methods. We find that the fluctuations are small away from a tiny distance from the source, comparable to the 6d Planck scale. Comparing this result with an analysis in the literature of fluctuations in the maximally mixed state, we conclude that the large fluctuations previously found for the latter are statistical rather than quantum in nature, and that perturbative string theory provides an accurate description of these backgrounds.
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Acknowledgments
The work of EJM is supported in part by DOE grant DE-SC0009924. The work of YZ is supported by the Blavatnik fellowship, and was supported by the Adams fellowship and the German Research Foundation through a German-Israeli Project Cooperation (DIP) grant “Holography and the Swampland”. YZ thanks the University of Chicago and IPhT Saclay for their hospitality during his visits.
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Martinec, E.J., Zigdon, Y. BPS fivebrane stars. Part II. Fluctuations. J. High Energ. Phys. 2024, 34 (2024). https://doi.org/10.1007/JHEP02(2024)034
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DOI: https://doi.org/10.1007/JHEP02(2024)034