Abstract
We study interpolation between two multi-center microstate geometries in 4d/5d that represent Lunin-Mathur geometries with circular profiles. The interpolating solution is a Lunin-Mathur geometry with a helical profile, and is represented by a 2-center solution with a codimension-2 source. The interpolating 2-center solution exhibits interesting features such as some of the charges being delocalized, and some of the charges getting transferred from the codimension-2 center to the other, codimension-3 center as the interpolation proceeds. We also discuss the spectral flow of this entire process and speculate on the relevance of such solutions to understanding general microstates of 3-charge black holes.
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Shigemori, M. Interpolating between multi-center microstate geometries. J. High Energ. Phys. 2021, 10 (2021). https://doi.org/10.1007/JHEP09(2021)010
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DOI: https://doi.org/10.1007/JHEP09(2021)010