Abstract
Supertubes are supersymmetric configurations in string theory in which branes are extending along a closed curve. For a supertube of codimension two, its dipole charge is characterized by the duality monodromy around the closed curve. When multiple codimension-2 supertubes are present, the monodromies around different supertubes can be non-commuting, namely non-Abelian. Non-Abelian configurations of supertubes are expected to play an important role in non-perturbative physics of string theory, especially black holes. In this paper, in the framework of five-dimensional supergravity, we construct exact solutions describing codimension-2 supertubes in three-dimensional space. We use an extension formula to construct a three-dimensional solution from a two-dimensional seed solution. The two-dimensional seed is an F-theory like configuration in which a torus is nontrivially fibered over a complex plane. In the first example, there is a stack of circular supertubes around which there is a non-trivial monodromy. In some cases this can be thought of as a microstate of a black hole in AdS2 × S2. The second example is an axi-symmetric solution with two stacks of circular supertubes with non-Abelian monodromies. In addition, there is a continuous distribution of charges on the symmetry axis.
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Acknowledgments
We would like to thank Iosif Bena and Kazumi Okuyama for discussions. We thank José J. Fernández-Melgarejo and Minkyu Park, and Hitoshi Sakai for collaboration in the early stages of the project. The work of MS was supported in part by MEXT KAKENHI Grant Numbers 21K03552 and 21H0518.
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ArXiv ePrint: 2312.16384
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Nemoto, R., Shigemori, M. Exact non-Abelian supertubes. J. High Energ. Phys. 2024, 52 (2024). https://doi.org/10.1007/JHEP03(2024)052
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DOI: https://doi.org/10.1007/JHEP03(2024)052