Towards Deconstruction of the Type D (2,0) Theory

Abstract

We propose a four-dimensional supersymmetric theory that deconstructs, in a particular limit, the six-dimensional $(2,0)$ theory of type $D_k$. This 4d theory is defined by a necklace quiver with alternating gauge nodes $\mathrm{O}(2k)$ and $\mathrm{Sp}(k)$. We test this proposal by comparing the 6d half-BPS index to the Higgs branch Hilbert series of the 4d theory. In the process, we overcome several technical difficulties, such as Hilbert series calculations for non-complete intersections, and the choice of $\mathrm{O}$ versus $\mathrm{SO}$ gauge groups. Consistently, the result matches the Coulomb branch formula for the mirror theory upon reduction to 3d.

References in corpus (4)

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• T^σ_ρ(G) Theories and Their Hilbert Series
• Supersymmetric States in M5/M2 CFTs
• The ADHM-like Constructions for Instantons on CP^2 and Three Dimensional Gauge Theories