Abstract
We construct new solutions of ten-dimensional supergravity with sixteen super-charges which describe the backreaction of Dp-branes with spherical worldvolume. These solutions are holographically dual to the (p + 1)-dimensional maximally supersymmetric Yang-Mills theory on Sp+1. The finite size of the sphere provides an IR cut-off for the gauge theory which is manifested in the supergravity solution as a smooth cap-off of the geometry. In the UV the size of the sphere plays no role and the backgrounds asymptote to the well-known supergravity solutions that describe the near-horizon limit of flat Dp-branes. We compute the on-shell action of our spherical brane solutions and show that it is in agreement with recent supersymmetric localization results for the free energy of maximal SYM theory on Sp+1.
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ArXiv ePrint: 1805.05338
Dedicated to the memory of Joe Polchinski.
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Bobev, N., Bomans, P. & Gautason, F.F. Spherical branes. J. High Energ. Phys. 2018, 29 (2018). https://doi.org/10.1007/JHEP08(2018)029
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DOI: https://doi.org/10.1007/JHEP08(2018)029