SciPost Phys. 13, 024 (2022) ·
published 17 August 2022

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2group symmetries arise when 1form symmetries and 0form symmetries of a theory mix with each other under group multiplication. We discover the existence of 2group symmetries in 5d N=1 abelian gauge theories arising on the (nonextended) Coulomb branch of 5d superconformal field theories (SCFTs), leading us to argue that the UV 5d SCFT itself admits a 2group symmetry. Furthermore, our analysis determines the global forms of the 0form flavor symmetry groups of 5d SCFTs, irrespective of whether or not the 5d SCFT admits a 1form symmetry. As a concrete application of our method, we analyze 2group symmetries of all 5d SCFTs, which reduce in the IR, after performing mass deformations, to 5d N=1 nonabelian gauge theories with simple, simply connected gauge groups. For rank1 Seiberg theories, we check that our predictions for the flavor symmetry groups match with the superconformal and ray indices available in the literature. We also comment on the mixed 't Hooft anomaly between 1form and 0form symmetries arising in 5d N=1 nonabelian gauge theories and its relation to the 2groups.
SciPost Phys. 11, 077 (2021) ·
published 14 October 2021

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We study a fourdimensional domain wall in twisted Mtheory. The domain wall is engineered by intersecting D6 branes in the type IIA frame. We identify the classical algebra of operators on the domain wall in terms of a higher vertex operator algebra, which describes the holomorphic subsector of a 4d $\mathcal{N}=1$ supersymmetric field theory, and compute the associated mode algebra. We conjecture that the quantum deformation of the classical algebra is isomorphic to the bulk algebra of operators from which we establish twisted holography of the domain wall.
SciPost Phys. 10, 105 (2021) ·
published 14 May 2021

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In the twisted Mtheory setting, various types of fusion of M2 and M5 branes induce coproducts between the algebra of operators on M2 branes and the algebra of operators on M5 branes. By doing a perturbative computation in the gravity side, which is captured by the 5d topological holomorphic $U(1)$ ChernSimons theory, we reproduce the nonperturbative coproducts.
SciPost Phys. 10, 029 (2021) ·
published 5 February 2021

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We derive the simplest commutation relations of operator algebras associated to M2 branes and an M5 brane in the $\Omega$deformed Mtheory, which is a natural setup for Twisted holography. Feynman diagram 1loop computations in the twistedholographic dual side reproduce the same algebraic relations.