# The holographic contributions to the sphere free energy

@article{Binder2022TheHC,
title={The holographic contributions to the sphere free energy},
author={Damon J. Binder and Daniel Z. Freedman and Silviu S. Pufu and Bernardo Zan},
journal={Journal of High Energy Physics},
year={2022},
volume={2022},
pages={1-64}
}
• Published 26 July 2021
• Physics, Mathematics
• Journal of High Energy Physics
We study which bulk couplings contribute to the S 3 free energy F ( m $$\mathfrak{m}$$ ) of three-dimensional N $$\mathcal{N}$$ = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F ( m $$\mathfrak{m}$$ ) is independent of a large class of bulk couplings that include non-chiral F-terms and all D-terms. On the other hand, in general, F ( m $$\mathfrak{m}$$ ) does depend non-trivially on bulk chiral…
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