# 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…

## 2 Citations

### The $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy

- Physics, MathematicsJournal of High Energy Physics
- 2022

Abstract
We study the mass-deformed sphere free energy of three-dimensional $$ \mathcal{N} $$
N
= 2 superconformal field theories with holographic duals. Building on previous observations, we…

### Snowmass White Paper: Bootstrapping String Theory

- Economics
- 2022

We discuss progress and prospects in the application of bootstrap methods to string theory. ar X iv :2 20 2. 07 16 3v 1 [ he pth ] 1 5 Fe b 20 22

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