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Related papers: Super-Spin Chains for 6D SCFTs

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We take first steps toward a theory of ``conformal twists'' for superconformal field theories in dimension 3 to 6, extending the well-known analysis of twists for supersymmetric theories. A conformal twist is a square-zero odd element in…

Mathematical Physics · Physics 2026-01-12 Chris Elliott , Owen Gwilliam , Matteo Lotito

We study operators in Schr\"odinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to…

High Energy Physics - Theory · Physics 2019-06-26 S. M. Kravec , Sridip Pal

We generalize various existing higher-loop Bethe ansaetze for simple sectors of the integrable long-range dynamic spin chain describing planar N=4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary…

High Energy Physics - Theory · Physics 2008-11-26 Niklas Beisert , Matthias Staudacher

In this note we review the construction of topologically gauged M2 branes with 6 supersymmetries and discuss some of its properties. This is done using the 3-algebra formulation thereby covering all possible gauge groups. We will elaborate…

High Energy Physics - Theory · Physics 2012-03-23 Bengt E. W. Nilsson

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 study the Higgs branches of the 6d $(1,0)$ little string theories that live on the worldvolume of NS5-branes probing an ADE-singularity in the heterotic $E_8 \times E_8$ and $\mathrm{Spin}(32)/\mathbb{Z}_2$ string theories. On the $E_8…

High Energy Physics - Theory · Physics 2024-06-12 Craig Lawrie , Lorenzo Mansi

In this article we present a comprehensive account of the operator formulation of the Green-Schwarz superstring in the semi-light-cone (SLC) gauge, where the worldsheet conformal invariance is preserved. Starting from the basic action, we…

High Energy Physics - Theory · Physics 2011-05-09 Yoichi Kazama , Naoto Yokoi

We propose new five-dimensional gauge theory descriptions of six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories arising from type IIA brane configurations including an $ON^0$-plane. The new five-dimensional gauge theories may…

High Energy Physics - Theory · Physics 2016-11-01 Hirotaka Hayashi , Sung-Soo Kim , Kimyeong Lee , Masato Taki , Futoshi Yagi

Global conformal invariance determines the form of two and three-point functions of quasi-primary operators in a conformal field theory, and generates nontrivial relations between terms in the operator product expansion. These ideas are…

High Energy Physics - Theory · Physics 2017-10-04 Atreya Chatterjee , David A. Lowe

We study a rich set of four-dimensional superconformal field theories (SCFTs) with both central charges identical: $a = c$. These are constructed via the diagonal $\mathcal{N}=2$ or $\mathcal{N}=1$ gauging of the flavor symmetry $G$ of a…

High Energy Physics - Theory · Physics 2022-10-14 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We analyze the relation between the large N limit of 6 dimensional superconformal field theories with eight supercharges and M theory on orbifolds of AdS_7xS^4. We use the known spectrum of Kaluza-Klein harmonics of supergravity on…

High Energy Physics - Theory · Physics 2009-10-31 Changhyun Ahn , Kyungho Oh , Radu Tatar

Field theories on anti-de Sitter (AdS) space can be studied by realizing them as low-energy limits of AdS vacua of string/M theory. In an appropriate limit, the field theories decouple from the rest of string/M theory. Since these vacua are…

High Energy Physics - Theory · Physics 2015-01-28 Ofer Aharony , Micha Berkooz , Soo-Jong Rey

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

We study a set of four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) $\widehat{\Gamma}(G)$ labeled by a pair of simply-laced Lie groups $\Gamma$ and $G$. They are constructed out of gauging a number of $\mathcal{D}_p(G)$…

High Energy Physics - Theory · Physics 2021-11-12 Monica Jinwoo Kang , Craig Lawrie , Jaewon Song

We derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n,2m|2n) for all m,n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N=4…

High Energy Physics - Theory · Physics 2016-01-27 Reza Doobary , Paul Heslop

Supersymmetry can be consistently generalized in one and two dimensional spaces, fractional supersymmetry being one of the possible extension. 2D fractional supersymmetry of arbitrary order $F$ is explicitly constructed using an adapted…

High Energy Physics - Theory · Physics 2008-02-03 M. Rausch de Traubenberg , P. Simon

We demonstrate that the recently found agreement between one-loop scaling dimensions of large dimension operators in N=4 gauge theory and energies of spinning strings on AdS_5 x S^5 extends to the eigenvalues of an infinite number of hidden…

High Energy Physics - Theory · Physics 2010-02-03 G. Arutyunov , M. Staudacher

Recently, an atomic classification scheme of 5d SCFTs has been proposed, relying on the identification of indecomposable building blocks that can be fused together to produce large classes of 5d SCFTs. These novel SCFTs are known as…

High Energy Physics - Theory · Physics 2026-05-19 Mario De Marco , Michele Del Zotto , Michele Graffeo , Andrea Sangiovanni

In this paper we begin mapping out the space of rank-2 $\mathcal{N}=2$ superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of theories which can be potentially classified using purely quantum…

High Energy Physics - Theory · Physics 2022-08-10 Mario Martone

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