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We show that the non-gravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In…

High Energy Physics - Theory · Physics 2019-05-02 Hirotaka Hayashi , Patrick Jefferson , Hee-Cheol Kim , Kantaro Ohmori , Cumrun Vafa

A single M5-brane probing G, an ADE-type singularity, leads to a system which has G x G global symmetry and can be viewed as "bifundamental" (G,G) matter. For the A_N series, this leads to the usual notion of bifundamental matter. For the…

High Energy Physics - Theory · Physics 2015-06-22 Michele Del Zotto , Jonathan J. Heckman , Alessandro Tomasiello , Cumrun Vafa

We consider the circle and torus compactification of a certain subclass of 6d $\mathcal{N}=(1,0)$ SCFTs which are Higgsable to the higher rank E-string theories. Using the T-duality between Type I' and Type IIB, we found that the $S^1$…

High Energy Physics - Theory · Physics 2016-03-23 Kantaro Ohmori , Hiroyuki Shimizu

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

Exact results are derived for 5d SCFTs with holographic duals in Type IIB supergravity. These theories have relevant deformations that flow to linear quiver gauge theories, with the number of nodes large in the large-$N$ limits described by…

High Energy Physics - Theory · Physics 2020-01-08 Christoph F. Uhlemann

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 study six dimensional supergravity theories with superconformal sectors (SCFTs). Instances of such theories can be engineered using type IIB strings, or more generally F-Theory, which translates field theoretic constraints to geometry.…

High Energy Physics - Theory · Physics 2022-01-03 Andreas P. Braun , Magdalena Larfors , Paul-Konstantin Oehlmann

With the eventual aim of classifying renormalization group flows between 6D superconformal field theories (SCFTs), we study flows generated by the vevs of "conformal matter," a generalization of conventional hypermultiplets which naturally…

High Energy Physics - Theory · Physics 2016-08-24 Jonathan J. Heckman , Tom Rudelius , Alessandro Tomasiello

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 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 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 revisit 6d (2,0) SCFTs of type $D_N$ and their realization in M-theory, focusing on absolute variants of these theories and on their global finite 0- and 2-form symmetries. We derive the 7d SymTFT capturing these global symmetries from…

High Energy Physics - Theory · Physics 2024-12-12 Federico Bonetti , Michele Del Zotto , Ruben Minasian

We provide a new extension to the geometric construction of 6d $(1,0)$ SCFTs that encapsulates Higgs branch structures with identical global symmetry but different spectra. In particular, we find that there exist distinct 6d $(1,0)$ SCFTs…

High Energy Physics - Theory · Physics 2022-11-29 Jacques Distler , Monica Jinwoo Kang , Craig Lawrie

We use F-theory to classify possibly all six-dimensional superconformal field theories (SCFTs). This involves a two step process: We first classify all possible tensor branches allowed in F-theory (which correspond to allowed collections of…

High Energy Physics - Theory · Physics 2016-01-20 Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

All known interacting 6D superconformal field theories (SCFTs) have a tensor branch which includes anti-chiral two-forms and a corresponding lattice of string charges. Automorphisms of this lattice preserve the Dirac pairing and specify…

High Energy Physics - Theory · Physics 2018-04-04 Fabio Apruzzi , Jonathan J. Heckman , Tom Rudelius

A Cardy formula for 6d superconformal field theories (SCFTs) conjectured by Di Pietro and Komargodski in [1] governs the universal behavior of the supersymmetric partition function on $S^1_\beta \times S^5$ in the limit of small $\beta$ and…

High Energy Physics - Theory · Physics 2020-11-10 Chi-Ming Chang , Martin Fluder , Ying-Hsuan Lin , Yifan Wang

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

With the aim of better understanding the class of 4D theories generated by compactifications of 6D superconformal field theories (SCFTs), we study the structure of N = 1 supersymmetric punctures for class S_Gamma theories, namely the 6D…

High Energy Physics - Theory · Physics 2018-08-29 Falk Hassler , Jonathan J. Heckman

This paper gives a classification of rank one 5d $\mathcal{N}=1$ and 6d $(1,0)$ SCFTs. The idea is to compactify 5d theory on $S^1$ and 6d theory on $T^2$ to get effective 4d $\mathcal{N}=2$ theory. These compactified theories all have a 4d…

High Energy Physics - Theory · Physics 2022-11-01 Dan Xie

We study 4d SCFTs obtained by orientifold projections on necklace quivers with fractional branes. The models obtained by this procedure are $\mathcal{N}=1$ linear quivers with unitary, symplectic and orthogonal gauge groups, bifundamental…

High Energy Physics - Theory · Physics 2022-02-09 Antonio Amariti , Marco Fazzi , Simone Rota , Alessia Segati