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Related papers: Hierarchy of RG flows in 6d $(1,0)$ orbi-instanton…

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This paper contains two results of independent interest, the first being more mathematical in nature whereas the second more physical. We first show that the hierarchy of Higgs branch RG flows between the 6d $(1,0)$ SCFTs known as A-type…

High Energy Physics - Theory · Physics 2025-05-01 Marco Fazzi , Suvendu Giri , Paul Levy

We extend the analysis of arXiv:2208.11703 to the 6d $(1,0)$ SCFTs known as massive E-string theories, which can be engineered in massive Type IIA with $8-n_0<8$ D8-branes close to an O8$^-$ (or O8$^*$ if $n_0=8,9$). For each choice of…

High Energy Physics - Theory · Physics 2023-03-16 Marco Fazzi , Simone Giacomelli , Suvendu Giri

We show that all known 6D SCFTs can be obtained iteratively from an underlying set of UV progenitor theories through the processes of "fission" and "fusion." Fission consists of a tensor branch deformation followed by a special class of…

High Energy Physics - Theory · Physics 2019-03-27 Jonathan J. Heckman , Tom Rudelius , Alessandro Tomasiello

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

Type IIB S-folds of the form $\,\textrm{AdS}_{4} \times \textrm{S}^1 \times \textrm{S}^5\,$ are conjectured to correspond to new strongly coupled three-dimensional CFT's on a localised interface of $\,\textrm{SYM}_{4}\,$. In this work we…

High Energy Physics - Theory · Physics 2021-06-30 Adolfo Guarino , Colin Sterckx

We introduce a class of Higgs-branch RG flows in theories of class-S, which flow between $d=4$ $\mathcal{N}=2$ SCFTs of the same ADE type. We discuss two applications of this class of RG flows: 1) determining the current-algebra levels in…

High Energy Physics - Theory · Physics 2022-03-11 Jacques Distler , Grant Elliot

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

We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-Yau threefolds. There are two…

High Energy Physics - Theory · Physics 2015-08-27 Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

We study a specific type of atomic Higgsings of the 6d $\mathcal{N}=(1,0)$ theories, which we call the induced flows. For the conformal matter theory associated with a pair of nilpotent orbits, the induced flows are given by the inductions…

High Energy Physics - Theory · Physics 2025-05-19 Jiakang Bao , Hao Y. Zhang

We map out and explore the zoo of possible 4d N=1 superconformal theories which are obtained as RG fixed points of N=1 SQCD with N_f fundamental and N_a adjoint matter representations. Using "a-maximization," we obtain exact operator…

High Energy Physics - Theory · Physics 2008-11-26 Ken Intriligator , Brian Wecht

In this paper we study a class of $\mathcal{N}=2$ SCFTs with ADE global symmetry defined via Type IIB compactification on a class of hypersurfaces in $\mathbb{C}^3\times\mathbb{C}^*$. These can also be constructed by compactifying the 6d…

High Energy Physics - Theory · Physics 2018-08-01 Simone Giacomelli

SCFTs in six dimensions are interrelated by networks of RG flows. Compactifying such models on a Riemann surface with flux for the $6d$ global symmetry, one can obtain a wide variety of theories in four dimensions. These four dimensional…

High Energy Physics - Theory · Physics 2020-01-29 Shlomo S. Razamat , Evyatar Sabag , Gabi Zafrir

We propose Type IIB 5-brane configurations that engineer the 6d $\mathcal{N}=(1,0)$ SCFTs with $SO(N)$ gauge symmetry coupled to a single tensor multiplet on a circle, by considering RG flows on Higgs branches of $D$-type conformal matter…

High Energy Physics - Theory · Physics 2020-10-28 Hee-Cheol Kim , Sung-Soo Kim , Kimyeong Lee

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 study various holographic RG flow solutions involving warped asymptotically locally Euclidean (ALE) spaces of $A_{N-1}$ type. A two-dimensional RG flow from a UV (2,0) CFT to a (4,0) CFT in the IR is found in the context of (1,0) six…

High Energy Physics - Theory · Physics 2011-08-25 Edi Gava , Parinya Karndumri , K. S. Narain

M-theory and string theory predict the existence of many six-dimensional SCFTs. In particular, type IIA brane constructions involving NS5-, D6- and D8-branes conjecturally give rise to a very large class of N=(1,0) CFTs in six dimensions.…

High Energy Physics - Theory · Physics 2015-06-19 Davide Gaiotto , Alessandro Tomasiello

We study $N=2$ seven-dimensional gauged supergravity coupled to three vector multiplets with $SO(4)$ gauge group. The resulting gauged supergravity contains 10 scalars consisting of the dilaton and 9 vector multiplet scalars parametrized by…

High Energy Physics - Theory · Physics 2018-04-17 Parinya Karndumri

Holographic RG flows dual to QFTs on maximally symmetric curved manifolds (dS$_d$, AdS$_d$, and $S^d$) are considered in the framework of Einstein-dilaton gravity in $d+1$ dimensions. A general dilaton potential is used and the flows are…

High Energy Physics - Theory · Physics 2018-07-26 Jewel Kumar Ghosh , Elias Kiritsis , Francesco Nitti , Lukas T. Witkowski

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

We detail the Higgs branches of 6d $(1,0)$ superconformal field theories (SCFTs) and little string theories (LSTs) that exhibit supersymmetry-enhancing Higgs branch renormalization group flows to the 6d $(2,0)$ SCFTs and LSTs of type DE.…

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