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We compute the superconformal partial waves of the four-point correlator $\langle JJJJ\rangle$, in which the external operator $J$ is the superconformal primary of the $4D$ $\mathcal{N}=2$ stress-tensor multiplet $\mathcal{J}$. We develop…

High Energy Physics - Theory · Physics 2020-02-07 Zhijin Li

We show that there is a family of two-dimensional $(0,2)$ SCFTs associated with twisted compactifications of the four-dimensional $\mathcal{N}=1$ Leigh-Strassler fixed point on a closed hyperbolic Riemann surface. We calculate the central…

High Energy Physics - Theory · Physics 2015-06-19 Nikolay Bobev , Krzysztof Pilch , Orestis Vasilakis

A classification of soft SUSY breaking deformation of general four dimensional $\mathcal{N}=2$ SCFT is provided. Given the large class of newly discovered $\mathcal{N}=2$ SCFTs and their known properties such as the central charges and full…

High Energy Physics - Theory · Physics 2019-05-02 Dan Xie

We study the scalar curvature $R$ of the vector moduli space of 5d $\mathcal{N}=1$ supergravities, obtained by compactifying M-theory on a Calabi--Yau three-fold. We find that $R$ can only diverge at points where some gauge interactions go…

High Energy Physics - Theory · Physics 2026-03-02 Alejandro Blanco , Fernando Marchesano , Luca Melotti

We propose a number of apparently equivalent criteria necessary for the consistency of a 5d SCFT in its Coulomb phase and use these criteria to classify 5d SCFTs arising from a gauge theory with simple gauge group. These criteria include…

High Energy Physics - Theory · Physics 2023-05-17 Patrick Jefferson , Hee-Cheol Kim , Cumrun Vafa , Gabi Zafrir

We investigate the landscape of 6d $\mathcal{N}=(1,0)$ D-type orbi-instanton superconformal field theories (SCFTs) and their torus compactifications to four-dimensional class $\mathcal{S}$ theories. By analysing a general class of 6d…

High Energy Physics - Theory · Physics 2026-02-05 Jiakang Bao , Noppadol Mekareeya , Gabi Zafrir , Hao Y. Zhang

We consider the torus compactifications with flux of a class of $6d$ $(1,0)$ SCFTs that can be engineered as the low-energy theories on M$5$-branes near an M$9$-plane on a $C^2/Z_2$ singularity. Specifically, we concentrate on the two SCFTs…

High Energy Physics - Theory · Physics 2019-10-23 Gabi Zafrir

We study the $3d$ $\mathcal{N}=2$ theories resulting from the compactification of a family of $5d$ SCFTs on a torus with flux in the global symmetry. The family of $5d$ SCFTs used in the analysis is the one that UV completes the $5d$…

High Energy Physics - Theory · Physics 2022-05-13 Matteo Sacchi , Orr Sela , Gabi Zafrir

S-folds are a non-perturbative generalization of orientifold 3-planes which figure prominently in the construction of 4D $\mathcal{N} = 3$ SCFTs and have also recently been used to realize examples of 4D $\mathcal{N} = 2$ SCFTs. In this…

High Energy Physics - Theory · Physics 2021-04-28 Jonathan J. Heckman , Craig Lawrie , Thomas B. Rochais , Hao Y. Zhang , Gianluca Zoccarato

Symmetric product orbifold theories are valuable due to their universal features at large $N$. Here we will demonstrate that they have features that are not as pervasive: we provide evidence of strange behaviour under deformations within…

High Energy Physics - Theory · Physics 2023-01-09 Nathan Benjamin , Suzanne Bintanja , Alejandra Castro , Jildou Hollander

We study general properties of the mapping between 5$d$ and 4$d$ superconformal field theories (SCFTs) under both twisted circle compactification and tuning of local relevant deformation and CB moduli. After elucidating in generality when a…

High Energy Physics - Theory · Physics 2021-09-01 Mario Martone , Gabi Zafrir

We classify 5d N=1 gauge theories carrying a simple gauge group that can arise by mass-deforming 5d SCFTs and 6d SCFTs (compactified on a circle, possibly with a twist). For theories having a 6d UV completion, we determine the tensor branch…

High Energy Physics - Theory · Physics 2020-12-30 Lakshya Bhardwaj , Gabi Zafrir

We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface to the case of $D$-type with outer-automorphism twists. This construction allows us to…

High Energy Physics - Theory · Physics 2015-06-17 Prarit Agarwal , Jaewon Song

We consider the 6d (1,0) SCFT on a stack of $N$ M5-branes probing a $\mathbb C^2/\mathbb Z_2$ singularity. In particular, we study its compactifications to four dimensions on a smooth genus-$g$ Riemann surface with non-trivial flavor flux,…

High Energy Physics - Theory · Physics 2020-02-19 Ibrahima Bah , Federico Bonetti

In this paper we discuss various $N=3$ SCFTs in 4 dimensions and in particular those which can be obtained as a discrete gauging of an $N=4$ SYM theories with non-simply laced groups. The main goal of the project was to compute the Coulomb…

High Energy Physics - Theory · Physics 2020-07-15 Mikhail Evtikhiev

We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d $\mathcal{N}=2$ SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional…

High Energy Physics - Theory · Physics 2021-10-20 Luis F. Alday , Connor Behan , Pietro Ferrero , Xinan Zhou

We study the macroscopics of 2d $\mathcal{N}=(0,4)$ SCFTs arising from F-theory constructions. The class of 2d SCFTs we consider live on black strings which are obtained by wrapping D3-branes on a curve in the base of a possibly singular…

High Energy Physics - Theory · Physics 2020-12-02 Christopher Couzens , Huibert het Lam , Kilian Mayer , Stefan Vandoren

We study CFT data of 3-dimensional superconformal field theories (SCFTs) arising from wrapped two M5-branes on closed hyperbolic 3-manifolds. Via so-called 3d/3d correspondence, central charges of these SCFTs are related to a $SL(2)$…

High Energy Physics - Theory · Physics 2017-09-13 Jin-Beom Bae , Dongmin Gang , Jaehoon Lee

We study twisted circle compactification of 6d $(2,0)$ SCFTs to 5d $\mathcal{N} = 2$ supersymmetric gauge theories with non-simply-laced gauge groups. We provide two complementary approaches towards the BPS partition functions, reflecting…

High Energy Physics - Theory · Physics 2021-09-28 Zhihao Duan , Kimyeong Lee , June Nahmgoong , Xin Wang

We study the compactification of the 6d ${\cal N}=(2,0)$ SCFT on the product of a Riemann surface with flux and a circle. On the one hand, this can be understood by first reducing on the Riemann surface, giving rise to 4d ${\cal N}=1$ and…

High Energy Physics - Theory · Physics 2020-03-18 Shlomo S. Razamat , Brian Willett