$$ \mathcal{N}=2 $$ moduli of AdS4 vacua: a fine-print study

$ \mathcal{N}=2 $ moduli of AdS₄ vacua: a fine-print study

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An Erratum to this article was published on 04 October 2018

This article has been updated

A preprint version of the article is available at arXiv.

Abstract

We analyze the moduli spaces near $ \mathcal{N}=4 $ supersymmetric AdS₄ vacua of string theory by combining and comparing various approaches: (a) the known exact solutions of Type IIB string theory with localized 5-brane sourcees; (b) the holographically dual 3d quiver gauge theories; (c) gauged supergravity; and (d) the representations of the superconformal algebra $ \mathfrak{o}\mathfrak{s}\mathfrak{p}\left(4\left|4\right|\right) $. Short multiplets containing the marginal $ \mathcal{N}=2 $ deformations transform in the (2; 0), (0; 2) or (1; 1) representations of the R-symmetry group SU(2)_H × SU(2)_C. The first two are classified by the chiral rings of the Higgs and Coulomb branches, while the latter contain mixed-branch operators. We identify the origin of these moduli in string theory, matching in particular the operators of the chiral rings with open strings on the magnetized 5-brane sources. Our results provide new evidence for the underlying holographic duality. The existence of a large number of bound-state moduli highlights the limitations of effective supergravity.

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$ \mathcal{N} $ = 2 CFT₃’s from $ \mathcal{N} $ = 4 gauged supergravity

Article Open access 13 June 2023

Rigid holography and six-dimensional $ \mathcal{N}=\left(2,0\right) $ theories on AdS₅ × $ \mathbb{S} $ ¹

Article Open access 24 March 2015

$ \mathcal{N}=4 $ supersymmetric AdS₅ vacua and their moduli spaces

Article Open access 13 October 2015

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04 October 2018
The statement below equation 3.16 about possible multiple embeddings of the N=2 superconformal algebra in N=4 is wrong. The embedding (used later in the paper) is unique. The decomposition of the symmetric product representation is wrong. Below equation 4.8, one should read ? = 1 instead of 2, and ? = 2 instead of 4.
04 October 2018
The statement below equation 3.16 about possible multiple embeddings of the N=2 superconformal algebra in N=4 is wrong. The embedding (used later in the paper) is unique. The decomposition of the symmetric product representation is wrong. Below equation 4.8, one should read ? = 1 instead of 2, and ? = 2 instead of 4.
04 October 2018
The statement below equation 3.16 about possible multiple embeddings of the N=2 superconformal algebra in N=4 is wrong. The embedding (used later in the paper) is unique. The decomposition of the symmetric product representation is wrong. Below equation 4.8, one should read ? = 1 instead of 2, and ? = 2 instead of 4.

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Laboratoire de Physique Théorique de l’ École Normale Supérieure, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, 24 rue Lhomond, 75231, Paris Cedex 05, France
Constantin Bachas
Dipartimento di Fisica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy
Massimo Bianchi
I.N.F.N. Sezione di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy
Massimo Bianchi
Theoretical Physics Group, Imperial College London, Prince Consort Road, London, SW7 2AZ, U.K.
Amihay Hanany

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Constantin Bachas
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Bachas, C., Bianchi, M. & Hanany, A. $ \mathcal{N}=2 $ moduli of AdS₄ vacua: a fine-print study. J. High Energ. Phys. 2018, 100 (2018). https://doi.org/10.1007/JHEP08(2018)100

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Received: 26 February 2018
Accepted: 27 July 2018
Published: 17 August 2018
DOI: https://doi.org/10.1007/JHEP08(2018)100

\( \mathcal{N}=2 \) moduli of AdS₄ vacua: a fine-print study

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\( \mathcal{N} \) = 2 CFT₃’s from \( \mathcal{N} \) = 4 gauged supergravity

Rigid holography and six-dimensional \( \mathcal{N}=\left(2,0\right) \) theories on AdS₅ × \( \mathbb{S} \) ¹

\( \mathcal{N}=4 \) supersymmetric AdS₅ vacua and their moduli spaces

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04 October 2018

04 October 2018

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\( \mathcal{N}=2 \) moduli of AdS4 vacua: a fine-print study

Abstract

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\( \mathcal{N} \) = 2 CFT3’s from \( \mathcal{N} \) = 4 gauged supergravity

Rigid holography and six-dimensional \( \mathcal{N}=\left(2,0\right) \) theories on AdS5 × \( \mathbb{S} \) 1

\( \mathcal{N}=4 \) supersymmetric AdS5 vacua and their moduli spaces

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04 October 2018

04 October 2018

04 October 2018

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\( \mathcal{N}=2 \) moduli of AdS₄ vacua: a fine-print study

\( \mathcal{N} \) = 2 CFT₃’s from \( \mathcal{N} \) = 4 gauged supergravity

Rigid holography and six-dimensional \( \mathcal{N}=\left(2,0\right) \) theories on AdS₅ × \( \mathbb{S} \) ¹

\( \mathcal{N}=4 \) supersymmetric AdS₅ vacua and their moduli spaces