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arXiv · 2202.06970

Semiclassics of three-dimensional SCFTs from holography

Stefano Cremonesi·Stefano Lanza·Luca Martucci
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Abstract

We use holography to compute the large-$N$ effective field theory along the moduli space of vacua of an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs admitting a dual M-theory description. We focus in particular on toric models and show how the spectrum of large $R$-charge SCFT chiral scalar operators corresponds to a set of explicit semiclassical solutions of our effective field theory, which describe bound states of backreacting giant gravitons and baryonic-like M5-branes. Our semiclassical description allows for a direct computation of the scaling dimensions of these operators and provides a starting point for a semiclassical investigation of the SCFT data in the large $R$-charge sector. We consider the models corresponding to the $Y^{12}(\mathbb{P}^2)$ and $Q^{111}$ Sasaki-Einstein spaces as explicit examples.

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Stefano Cremonesi, Stefano Lanza, Luca Martucci. 2022-02-14. Semiclassics of three-dimensional SCFTs from holography. https://doi.org/10.1007/jhep10(2022)111

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