
arXiv: 1708.04996
The chiral algebra of the symmetric product orbifold of a single-boson CFT corresponds to a "higher spin square" algebra in the large $N$ limit. In this note, we show that a symmetrized collection of $N$ bosons defines a similar structure that we refer to as the higher spin rectangle algebra. We explore the relation of this algebra to the higher spin square algebra. The existence of such a truncated algebra hints at bulk theories interpolating between Vasiliev higher spin theory and string theory.
21 pages, 2 figures, Added clarifications, Version to appear in JHEP
Higher Spin Symmetry, High Energy Physics - Theory, higher spin symmetry, conformal and W symmetry, FOS: Physical sciences, String and superstring theories in gravitational theory, QC770-798, AdS-CFT Correspondence, Conformal and W Symmetry, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity
Higher Spin Symmetry, High Energy Physics - Theory, higher spin symmetry, conformal and W symmetry, FOS: Physical sciences, String and superstring theories in gravitational theory, QC770-798, AdS-CFT Correspondence, Conformal and W Symmetry, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity
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