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Paper detail

The $\mathcal{N} = 2$ Prepotential and the Sphere Free Energy

We study the mass-deformed sphere free energy of three-dimensional $\mathcal{N} = 2$ superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the four-dimensional $\mathcal{N} = 2$ supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.

preprint2021arXivOpen access
Bernardo ZanDaniel Z. FreedmanSilviu S. Pufu
hep-th
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Bernardo ZanDaniel Z. FreedmanSilviu S. Pufu

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