Four-dimensional N = 1 theories, S-fold constraints on T-branes, and behaviors in IR and UV

Kimura, Yusuke

doi:10.1007/jhep05(2021)016

Cited by 3 publications

(1 citation statement)

References 118 publications

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“…Both the S and T theories have been studied in depth, particularly recently [1,35,44,45,59,127,128]. Rather than literally reproducing here results from other papers, we make the choice of simply refer to the relevant literature.…”

Section: A S and T Theoriesmentioning

confidence: 99%

Testing our understanding of SCFTs: a catalogue of rank-2 $$ \mathcal{N} $$ = 2 theories in four dimensions

Martone

2022

J. High Energ. Phys.

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In this paper we begin mapping out the space of rank-2 $$ \mathcal{N} $$ N = 2 superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of theories which can be potentially classified using purely quantum field-theoretic tools, thus providing a precious case study to probe the completeness of the current understanding of SCFTs, primarily derived from string theory constructions. Here, we collect and systematize a large amount of field theoretic data characterizing each theory. We also provide a detailed description of each case and determine the theories’ Coulomb, Higgs and Mixed branch stratification. The theories naturally organize themselves into series connected by RG flows but which have gaps suggesting that our current understanding is not complete.

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Section: A S and T Theoriesmentioning

confidence: 99%

Testing our understanding of SCFTs: a catalogue of rank-2 $$ \mathcal{N} $$ = 2 theories in four dimensions

Martone

2022

J. High Energ. Phys.

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𝒩 = 1 SCFTs from F-theory on Orbifolds

Giacomelli,

Savelli

2023

J. High Energ. Phys.

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We study four-dimensional superconformal field theories living on the worldvolume of D3 branes probing minimally-supersymmetric F-theory backgrounds, focusing on the case of orbi-orientifold setups with and without 7-branes. We observe that these theories are closely related to compactifications of six-dimensional 𝒩 = (1, 0) theories on a torus with flux, where the flux quanta is mapped in Type IIB to the defining data of the orbifold group. We analyze the cases of class 𝒮k theories as well as of compactifications of the E-string and of orbi-instanton theories. We also classify 𝒮-fold configurations in F-theory preserving minimal supersymmetry in four dimensions and their mass deformations.

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Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence

Kimura¹

2021

Preprint

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We study AdS duals of four-dimensional (4D) N = 1 superconformal field theories (SCFTs) on Z k S-folds with T-branes that flow to 4D N = 3 theories. In a previous study, it was discussed how considering T-brane structure breaks the N = 2 supersymmetry in 4D SCFTs on Z k S-folds down to N = 1. In this study, we analyze this effect from the AdS perspective and find that the T-brane effect, seen from the AdS perspective, deforms the horizon geometry from S 5 /Z k into S 5 /Γ, where Γ is a finite subgroup in SU (3). We also discuss the constructions of 4D N = 1 SCFTs on S-folds with T-branes starting from global K3 hypersurfaces whose fibers involve complex multiplications. We choose an approach to directly analyze the global K3 geometry without relying on the standard Weierstrass technique.

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Four-dimensional N = 1 theories, S-fold constraints on T-branes, and behaviors in IR and UV

Cited by 3 publications

References 118 publications

Testing our understanding of SCFTs: a catalogue of rank-2 $$ \mathcal{N} $$ = 2 theories in four dimensions

Testing our understanding of SCFTs: a catalogue of rank-2 $$ \mathcal{N} $$ = 2 theories in four dimensions

𝒩 = 1 SCFTs from F-theory on Orbifolds

Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence

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