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We discuss a variety of codimension-one, non-invertible topological defects in general 3+1d QFTs with a discrete one-form global symmetry. These include condensation defects from higher gauging of the one-form symmetries on a…

High Energy Physics - Theory · Physics 2023-06-07 Yichul Choi , Clay Cordova , Po-Shen Hsin , Ho Tat Lam , Shu-Heng Shao

We engineer a large new set of four-dimensional N=1 superconformal field theories by wrapping M5-branes on complex curves. We present new supersymmetric AdS_5 M-theory backgrounds which describe these fixed points at large N, and then…

High Energy Physics - Theory · Physics 2012-06-05 Ibrahima Bah , Christopher Beem , Nikolay Bobev , Brian Wecht

We propose that generalized symmetries in some string-constructed QFTs are given by K-theory. We thus have \textit{even-form} and \textit{odd-form} symmetries determined by $K_N(\partial X)$, the twisted K-theory as D-brane charges on the…

High Energy Physics - Theory · Physics 2026-03-20 Hao Y. Zhang

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

We consider generalizations of the AdS/CFT correspondence in which probe branes are embedded in gravity backgrounds dual to either conformal or confining gauge theories. These correspond to defect conformal field theories (dCFT) or QCD-like…

High Energy Physics - Theory · Physics 2009-11-10 Ingo Kirsch

Among the elementary building blocks in the atomic classification of 5d SCFTs there are 5d bifundamental conformal matter theories of various kinds. In this work we study the Higgs branch of these models and of the corresponding molecules…

High Energy Physics - Theory · Physics 2025-02-25 Mario De Marco , Michele Del Zotto , Julius F. Grimminger , Andrea Sangiovanni

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 study compactifications of $6d$ non minimal $(D_{p+3},D_{p+3})$ type conformal matter. These can be described by $N$ M5-branes probing a $D_{p+3}$-type singularity. We derive $4d$ Lagrangians corresponding to compactifications of such…

High Energy Physics - Theory · Physics 2020-12-02 Evyatar Sabag

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

Nearly all 6D superconformal field theories (SCFTs) have a partial tensor branch description in terms of a generalized quiver gauge theory consisting of a long one-dimensional spine of quiver nodes with links given by conformal matter; a…

High Energy Physics - Theory · Physics 2023-07-18 Florent Baume , Jonathan J. Heckman , Craig Lawrie

In this paper we set out to further explore the connection between isolated N=2 SCFT's in four dimensions and N=1 SCFT's in five dimensions. Using 5-brane webs we are able to provide IR Lagrangian descriptions in terms of 5d gauge theories…

High Energy Physics - Theory · Physics 2015-05-20 Oren Bergman , Gabi Zafrir

We classify rank zero 5d SCFTs geometrically engineered from M-theory on quasi-homogeneous compound Du Val isolated threefold singularities. For all such theories, we characterize the Higgs Branch, by computing the dimension, the continuous…

High Energy Physics - Theory · Physics 2023-05-08 Mario De Marco , Andrea Sangiovanni , Roberto Valandro

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

M-theory geometric engineering on non-compact Calabi-Yau fourfolds (CY4) produces 3d theories with 4 supercharges. Carefully establishing a dictionary between the geometry of the CY4 and the QFT in the transverse directions remains, to a…

High Energy Physics - Theory · Physics 2025-03-26 Andrea Sangiovanni , Roberto Valandro

In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an $O5^-$-plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the…

High Energy Physics - Theory · Physics 2016-08-03 Gabi Zafrir

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

We determine the $d+1$ dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for $d$-dimensional QFTs obtained by compactifying M-theory on a non-compact space $X$. The resulting theory,…

High Energy Physics - Theory · Physics 2023-08-02 Fabio Apruzzi , Federico Bonetti , Iñaki García Etxebarria , Saghar S. Hosseini , Sakura Schafer-Nameki

We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the…

High Energy Physics - Theory · Physics 2021-06-30 Yolanda Lozano , Anayeli Ramirez

There are two major ways of constructing 4d $\mathcal{N}=2$ superconformal field theories (SCFTs): the first one is putting a 6d $(2,0)$ theory on a punctured Riemann surface (class-S theory), and the second one is putting type IIB string…

High Energy Physics - Theory · Physics 2023-05-31 Bohan Li , Dan Xie , Wenbin Yan

We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed…

High Energy Physics - Theory · Physics 2024-12-16 Pietro Benetti Genolini , Luigi Tizzano