SciPost Phys. 13, 024 (2022) ·
published 17 August 2022
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2-group symmetries arise when 1-form symmetries and 0-form symmetries of a
theory mix with each other under group multiplication. We discover the
existence of 2-group symmetries in 5d N=1 abelian gauge theories arising on the
(non-extended) Coulomb branch of 5d superconformal field theories (SCFTs),
leading us to argue that the UV 5d SCFT itself admits a 2-group symmetry.
Furthermore, our analysis determines the global forms of the 0-form flavor
symmetry groups of 5d SCFTs, irrespective of whether or not the 5d SCFT admits
a 1-form symmetry. As a concrete application of our method, we analyze 2-group
symmetries of all 5d SCFTs, which reduce in the IR, after performing mass
deformations, to 5d N=1 non-abelian gauge theories with simple, simply
connected gauge groups. For rank-1 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 1-form and 0-form symmetries arising in 5d N=1 non-abelian
gauge theories and its relation to the 2-groups.
SciPost Phys. 11, 077 (2021) ·
published 14 October 2021
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We study a four-dimensional domain wall in twisted M-theory. 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 M-theory 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 $U(1)$ Chern-Simons
theory, we reproduce the non-perturbative 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 M-theory, which is a
natural set-up for Twisted holography. Feynman diagram 1-loop computations in
the twisted-holographic dual side reproduce the same algebraic relations.
