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Related papers: From 6D SCFTs to Dynamic GLSMs

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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 use the F-theory realization of 6D superconformal field theories (SCFTs) to study the corresponding spectrum of stringlike, i.e. surface defects. On the tensor branch, all of the stringlike excitations pick up a finite tension, and there…

High Energy Physics - Theory · Physics 2016-05-25 Michele Del Zotto , Jonathan J. Heckman , Daniel S. Park , Tom Rudelius

Compactifying 6d superconformal field theories (SCFTs) to 4d $\mathcal{N}=1$ theories on two-punctured spheres (tubes) and tori with flux is realized using duality domain walls in 5d $\mathcal{N}=1$ Kaluza-Klein (KK) theories, which are…

High Energy Physics - Theory · Physics 2022-12-28 Evyatar Sabag , Matteo Sacchi

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

We study the orbifold singularities $X=\mathbb{C}^3/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(3)$. M-theory on this orbifold singularity gives rise to a 5d SCFT, which is investigated with two methods. The first approach is via 3d…

High Energy Physics - Theory · Physics 2022-04-20 Jiahua Tian , Yi-Nan Wang

Motivated by its potential use in constraining the structure of 6D renormalization group flows, we determine the low energy dilaton-axion effective field theory of conformal and global symmetry breaking in 6D conformal field theories…

High Energy Physics - Theory · Physics 2021-03-26 Jonathan J. Heckman , Sandipan Kundu , Hao Y. Zhang

We systematically explore the space of renormalization group flows of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) triggered by relevant deformations, as well as by coupling to free chiral multiplets with relevant…

High Energy Physics - Theory · Physics 2024-08-23 Minseok Cho , Kazunobu Maruyoshi , Emily Nardoni , Jaewon Song

We systematically analyse 5d superconformal field theories (SCFTs) obtained by dimensional reduction from 6d $\mathcal{N}=(1,0)$ SCFTs. Such theories have a realization as M-theory on a singular Calabi-Yau threefold, from which we determine…

High Energy Physics - Theory · Physics 2020-08-07 Fabio Apruzzi , Sakura Schafer-Nameki , Yi-Nan Wang

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

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 study (1,0) and (2,0) 6D superconformal field theories (SCFTs) that can be constructed in F-theory. Quite surprisingly, all of them involve an orbifold singularity C^2 / G with G a discrete subgroup of U(2). When G is a subgroup of…

High Energy Physics - Theory · Physics 2015-06-18 Jonathan J. Heckman , David R. Morrison , Cumrun Vafa

We study supersymmetric $AdS_3\times M^4$ solutions of $N=2$ gauged supergravity in seven dimensions coupled to three vector multiplets with $SO(4)\sim SO(3)\times SO(3)$ gauge group and $M^4$ being a four-manifold with constant curvature.…

High Energy Physics - Theory · Physics 2019-08-27 Parinya Karndumri , Patharadanai Nuchino

We formulate geometric conditions necessary for engineering 5d superconformal field theories (SCFTs) via M-theory compactification on a local Calabi-Yau 3-fold. Extending the classification of the rank 1 cases, which are realized…

High Energy Physics - Theory · Physics 2018-06-05 Patrick Jefferson , Sheldon Katz , Hee-Cheol Kim , Cumrun Vafa

We propose a graph-theoretic description to determine and characterize 5d superconformal field theories (SCFTs) that arise as circle reductions of 6d $\mathcal{N} = (1,0)$ SCFTs. Each 5d SCFT is captured by a graph, called a Combined Fiber…

High Energy Physics - Theory · Physics 2020-01-08 Fabio Apruzzi , Craig Lawrie , Ling Lin , Sakura Schafer-Nameki , Yi-Nan Wang

Following a recent proposal, we delineate a general procedure to classify 5d SCFTs via compactifications of 6d SCFTs on a circle (possibly with a twist by a discrete global symmetry). The path from 6d SCFTs to 5d SCFTs can be divided into…

High Energy Physics - Theory · Physics 2019-09-30 Lakshya Bhardwaj , Patrick Jefferson

6d SCFTs compactified on a circle can often be studied from nonperturbative 5d super-Yang-Mills theories, using instanton solitons. However, the 5d Yang-Mills theories with 6d UV fixed points frequently have too many hypermultiplet matters,…

High Energy Physics - Theory · Physics 2016-12-21 Youngbin Yun

Recent work has established a uniform characterization of most 6D SCFTs in terms of generalized quivers with conformal matter. Compactification of the partial tensor branch deformation of these theories on a $T^2$ leads to 4D $\mathcal{N} =…

High Energy Physics - Theory · Physics 2022-09-01 Florent Baume , Jonathan J. Heckman , Craig Lawrie

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 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

We consider generalisations of the recently proposed supersymmetry breaking deformation of the 5d rank-1 $E_1$ superconformal field theory to higher rank. We generalise the arguments to theories which admit a mass deformation leading to…

High Energy Physics - Theory · Physics 2024-01-31 Mohammad Akhond , Masazumi Honda , Francesco Mignosa