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We initiate the classification of unitary superconformal defects in unitary superconformal field theories (SCFT) of diverse spacetime dimensions $3\leq d \leq 6$. Our method explores general constraints from the defect superconformal…

High Energy Physics - Theory · Physics 2020-10-13 Nathan B. Agmon , Yifan Wang

Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of quantum field theory. In this white paper for the Snowmass process we give a brief overview of aspects of SCFTs in $3\leq D \leq 6$ space-time…

High Energy Physics - Theory · Physics 2022-09-28 Philip C. Argyres , Jonathan J. Heckman , Kenneth Intriligator , Mario Martone

We initiate a systematic study of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the analysis of their Coulomb branch geometries. Because these SCFTs are not uniquely characterized by their scale-invariant…

High Energy Physics - Theory · Physics 2017-11-06 Philip Argyres , Matteo Lotito , Yongchao Lü , Mario Martone

We study global symmetry groups of six-dimensional superconformal field theories (SCFTs). In the Coulomb branch we use field theoretical arguments to predict an upper bound for the global symmetry of the SCFT. We then analyze global…

High Energy Physics - Theory · Physics 2016-07-26 Marco Bertolini , Peter R. Merkx , David R. Morrison

One of the predictions of the AdS/CFT correspondence is the matching of protected operators between a superconformal field theory and its holographic dual. We review the spectrum of protected operators in quiver gauge theories that flow to…

High Energy Physics - Theory · Physics 2015-10-15 Richard Eager

Enhancement of global symmetry and supersymmetry in the infrared is one of the most intriguing phenomena in quantum field theory. We investigate such phenomena in a large class of three dimensional superconformal field theories, known as…

High Energy Physics - Theory · Physics 2019-09-04 Ivan Garozzo , Gabriele Lo Monaco , Noppadol Mekareeya , Matteo Sacchi

Any N=2 superconformal field theory (SCFT) in four dimensions has a sector of operators related to a two-dimensional chiral algebra containing a Virasoro sub-algebra. Moreover, there are well-known examples of isolated SCFTs whose chiral…

High Energy Physics - Theory · Physics 2016-11-23 Matthew Buican , Takahiro Nishinaka

We investigate the structure of certain protected operator algebras that arise in three-dimensional N=4 superconformal field theories. We find that these algebras can be understood as a quantization of (either of) the half-BPS chiral…

High Energy Physics - Theory · Physics 2022-08-22 Christopher Beem , Wolfger Peelaers , Leonardo Rastelli

We explore a class of CFT's with higher spin currents and charges. Away from the free or $N=\infty$ limit the non-conservation of currents is governed by operators built out of the currents themselves, which deforms the algebra of charges…

High Energy Physics - Theory · Physics 2022-03-10 Pavel Gerasimenko , Alexey Sharapov , Evgeny Skvortsov

We realize four-dimensional N=2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D_N theory with defects. The construction can be used to analyze infinitely…

High Energy Physics - Theory · Physics 2009-08-06 Yuji Tachikawa

We continue to investigate the $\mathcal{N}=1$ deformations of four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) labeled by a nilpotent element of the flavor symmetry. This triggers a renormalization group (RG) flow to…

High Energy Physics - Theory · Physics 2017-02-01 Prarit Agarwal , Kazunobu Maruyoshi , Jaewon Song

Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study canonical hypersurface singularities whose resolutions contain…

High Energy Physics - Theory · Physics 2021-06-02 Cyril Closset , Simone Giacomelli , Sakura Schafer-Nameki , Yi-Nan Wang

We analyze the mass spectrum of spin-2 excitations around the gravity duals of "linear quiver" supersymmetric conformal field theories (SCFT's) in six dimensions. We show that for the entire family of gravity solutions it satisfies a bound…

High Energy Physics - Theory · Physics 2017-02-01 Achilleas Passias , Alessandro Tomasiello

We propose a general strategy to build three-dimensional gauge theories with four supercharges which enjoy a supersymmetry enhancement in the IR. The resulting IR SCFTs admit topological twists with particularly nice properties, as well as…

High Energy Physics - Theory · Physics 2024-10-01 Davide Gaiotto , Heeyeon Kim

In a recent paper, we proposed closed-form expressions for the superconformal indices of the (A_1, A_{2n-3}) and (A_1, D_{2n}) Argyres-Douglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we…

High Energy Physics - Theory · Physics 2016-01-06 Matthew Buican , Takahiro Nishinaka

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

This paper studies the two-component spinor form of massive spin-3/2 potentials in conformally flat Einstein four-manifolds. Following earlier work in the literature, a non-vanishing cosmological constant makes it necessary to introduce a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Giuseppe Pollifrone

We holographically study supersymmetric deformations of $N=3$ and $N=1$ superconformal field theories (SCFTs) in three dimensions using four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with non-semisimple…

High Energy Physics - Theory · Physics 2017-03-03 Parinya Karndumri

We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres-Douglas theories on $S^1 \times M_3$ with a non-trivial holonomy of a discrete global symmetry along the $S^1$.…

High Energy Physics - Theory · Physics 2018-09-14 Mykola Dedushenko , Sergei Gukov , Hiraku Nakajima , Du Pei , Ke Ye

We construct Type IIB supergravity solutions with geometry $AdS_6\times S^2$ warped over a disc with two boundary points where 5-branes emerge and punctures with 7-brane monodromy. They describe $(p,q)$ 5-brane junctions with two groups of…

High Energy Physics - Theory · Physics 2019-01-30 Andrea Chaney , Christoph F. Uhlemann
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