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}
}
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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