The Small $\mathcal{N}=4$ Superconformal ${\mathcal{W}}_{\infty }$ Algebra

Abstract

The symmetric orbifold of ${\mathbb{T}}^4$ is the CFT dual of string theory on AdS${}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ with minimal NS-NS flux. We study its symmetry algebra and provide evidence that it does not have any deformation parameter. This suggests that the symmetric orbifold is (at least locally) the most symmetrical CFT in its moduli space.

arXiv comment36 pages, Version accepted for publication in the J.Phys.A

References in corpus (14)

• AdS Dual of the Critical O(N) Vector Model
• An AdS_3 Dual for Minimal Model CFTs
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• The Worldsheet Dual of the Symmetric Product CFT
• Triality in Minimal Model Holography
• Higher Spins & Strings
• Notes On Higher Spin Symmetries
• Large N=4 Holography
• Duality in N=2 minimal model holography
• Exploring ${\mathcal{W}}_{\infty }$ in the quadratic basis
• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography

Cited by in corpus (1)

• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$