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Related papers: Star shaped quivers with flux

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Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor…

High Energy Physics - Theory · Physics 2017-09-20 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Ilarion V. Melnikov

We study 4D N=2 superconformal field theories that arise from the compactification of 6D N=(2,0) theories of type D_N on a Riemann surface, in the presence of punctures twisted by a Z_2 outer automorphism. Unlike the untwisted case, the…

High Energy Physics - Theory · Physics 2022-10-28 Oscar Chacaltana , Jacques Distler , Anderson Trimm

We study compactification of 6 dimensional (1,0) theories on T^2. We use geometric engineering of these theories via F-theory and employ mirror symmetry technology to solve for the effective 4d N=2 geometry for a large number of the (1,0)…

High Energy Physics - Theory · Physics 2016-01-20 Michele Del Zotto , Cumrun Vafa , Dan Xie

We extend the investigation of the recently introduced class ${\cal S}_k$ of 4d $\mathcal{N}=1$ SCFTs, by considering a large family of quiver gauge theories within it, which we denote $\mathcal{S}^1_k$. These theories admit a realization…

High Energy Physics - Theory · Physics 2015-08-12 Sebastian Franco , Hirotaka Hayashi , Angel Uranga

We determine the 1-form symmetry group for any 4d N = 2 class S theory constructed by compactifying a 6d N=(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually…

High Energy Physics - Theory · Physics 2021-12-01 Lakshya Bhardwaj , Max Hubner , Sakura Schafer-Nameki

We reconsider the relation of superconformal indices of superconformal field theories of class S with five-dimensional N=2 supersymmetric Yang-Mills theory compactified on the product space of a round three-sphere and a Riemann surface. We…

High Energy Physics - Theory · Physics 2015-12-09 Teruhiko Kawano , Nariaki Matsumiya

Compactification of 6d N=(2,0) theory of type G on a punctured Riemann surface has been effectively used to understand S-dualities of 4d N=2 theories. We can further introduce branch cuts on the Riemann surface across which the worldvolume…

High Energy Physics - Theory · Physics 2011-06-21 Yuji Tachikawa

We consider 5d Yang-Mills theory with a compact ADE-type gauge group $G$ on ${\mathbb R}^{3,1}\times{\cal I}$, where $\cal I$ is an interval. The maximally supersymmetric extension of this model appears after compactification on $S^1$ of 6d…

High Energy Physics - Theory · Physics 2018-07-04 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov

We consider compactifications of rank $Q$ E-string theory on a genus zero surface with no punctures but with flux for various subgroups of the $\text{E}_8\times \text{SU}(2)$ global symmetry group of the six dimensional theory. We first…

High Energy Physics - Theory · Physics 2021-09-02 Chiung Hwang , Shlomo S. Razamat , Evyatar Sabag , Matteo Sacchi

Using the F-theory realization, we identify a subclass of 6d (1,0) SCFTs whose compactification on a Riemann surface leads to N = 1 4d SCFTs where the moduli space of the Riemann surface is part of the moduli space of the theory. In…

High Energy Physics - Theory · Physics 2016-09-21 David R. Morrison , Cumrun Vafa

We study the twisted compactifications of five-dimensional Seiberg SCFTs, with $SU_\mathcal{M}(2)\times E_{N_f+1}$ flavor symmetry, on a generic Riemann surface that preserves four supercharges. The five-dimensional SCFTs are obtained from…

High Energy Physics - Theory · Physics 2019-01-30 Ibrahima Bah , Achilleas Passias , Peter Weck

Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the…

High Energy Physics - Theory · Physics 2020-10-28 Emanuele Beratto , Simone Giacomelli , Noppadol Mekareeya , Matteo Sacchi

One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a partial tensor branch, all known theories resemble quiver gauge theories with links comprised of 6D conformal matter, a generalization of weakly coupled…

High Energy Physics - Theory · Physics 2018-10-17 Fabio Apruzzi , Jonathan J. Heckman , David R. Morrison , Luigi Tizzano

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 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 find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The…

High Energy Physics - Theory · Physics 2016-11-07 Francesco Benini , Nikolay Bobev , P. Marcos Crichigno

We consider all 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$ arising from the compactification of exceptional 6d $(2,0)$ SCFTs on a three-punctured sphere with a simple puncture. We find that each of these 4d theories has another…

High Energy Physics - Theory · Physics 2022-11-29 Florent Baume , Monica Jinwoo Kang , Craig Lawrie

In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular those of conformal matter type, on K\"ahler 4-manifolds. We show how this can be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau fourfolds…

High Energy Physics - Theory · Physics 2024-10-10 Jin Chen , Zhuo Chen , Wei Cui , Babak Haghighat

We consider the superconformal index of class S theories of type D, which arise by compactification of the (2,0) D_n theories on a punctured Riemann surface C. We also allow for the presence of twist lines on C associated to the Z_2 outer…

High Energy Physics - Theory · Physics 2014-06-04 Madalena Lemos , Wolfger Peelaers , Leonardo Rastelli

We present evidence that N=1* SUSY Yang-Mills provides a deconstruction of a six-dimensional gauge theory compactified on a two-sphere. The six-dimensional theory is a twisted compactification of N=(1,1) SUSY Yang-Mills theory of the type…

High Energy Physics - Theory · Physics 2009-11-11 R. P. Andrews , N. Dorey