Twisted sectors from plane partitions

Abstract

Twisted sectors arise naturally in the bosonic higher spin CFTs at their free points, as well as in the associated symmetric orbifolds. We identify the coset representations of the twisted sector states using the description of W_\infty representations in terms of plane partitions. We confirm these proposals by a microscopic null-vector analysis, and by matching the excitation spectrum of these representations with the orbifold prediction.

31 pages, 5 figures

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Cited by in corpus (10)

• Higher Spins and Yangian Symmetries
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Shifted Quiver Yangians and Representations from BPS Crystals
• The supersymmetric affine Yangian
• Twin-plane-partitions and $\mathcal{N}=2$ affine Yangian
• Quantizing higher-spin gravity in free-field variables
• EFT Asymptotics: the Growth of Operator Degeneracy
• Chiral Algebras of Two-Dimensional SYK Models
• Gluing two affine Yangians of ${\mathfrak{gl}}_1$
• Gluing affine Yangians with bi-fundamentals