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On tensionless string field theory in AdS3

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A bstractWe report on progress in formulating a field theory of tensionless strings in AdS3, starting from the dual large-N symmetric orbifold CFT. We propose a set of field equations… Click to show full abstract

A bstractWe report on progress in formulating a field theory of tensionless strings in AdS3, starting from the dual large-N symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of the theory, the ‘Higher Spin Square’. The massless higher spin sector is captured by a Chern-Simons gauge field, while the matter sector is described by unfolded equations similar to those appearing in Vasiliev theory. Our equations incorporate the full perturbative spectrum of the theory, including states coming from the twisted sectors, and capture some of the interactions fixed by gauge invariance. We also discuss the spectrum of the bulk theory and explain how linearization around AdS3 gives rise to the expected set of decoupled wave equations. Our results can be generalized to describe bulk duals of other large-N symmetric orbifolds.

Keywords: string field; field; higher spin; tensionless string; theory; field theory

Journal Title: Journal of High Energy Physics
Year Published: 2019

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