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Cremonesi, Stefano; Lanza, Stefano; Martucci, Luca

Semiclassics of three-dimensional SCFTs from holography. (English) Zbl 1534.81124

J. High Energy Phys. 2022, No. 10, Paper No. 111, 98 p. (2022).
Summary: 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.

MSC:

81T35 Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.)
81T60 Supersymmetric field theories in quantum mechanics
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83E30 String and superstring theories in gravitational theory
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Keywords:

AdS-CFT correspondence; conformal field models in string theory; effective field theories; M-theory

Software:

Mathematica
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Full Text: DOI arXiv

References:

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