Abstract
In a previous work, a marginal deformation of 2d coset type model with $$ \mathcal{N}=3 $$ superconformal symmetry was studied, and it was interpreted as a change of boundary conditions for bulk fields in the dual higher spin theory. The deformation breaks generic higher spin gauge symmetry, and the generated mass of a spin 2 field was computed. The deformation might be related to the introduction of finite string tension in a superstring theory. In this paper, we extend the analysis and compute the masses of generic higher spin fields at the leading order of 1/c (c is the CFT central charge) but at the full order of the deformation parameter. We find that the masses are not generated for so(3) R singlet higher spin fields at this order and the spectrum is the Regge-like one for so(3) R triplet higher spin-charged fields.
Highlights
The first concrete proposal on the relation between higher spin gauge theory and superstring theory was made in [7] by extending the duality in [3]
In a previous work, a marginal deformation of 2d coset type model with N = 3 superconformal symmetry was studied, and it was interpreted as a change of boundary conditions for bulk fields in the dual higher spin theory
We start from the gauge algebra of the Prokushkin-Vasiliev theory with extended supersymmetry
Summary
We start from the gauge algebra of the Prokushkin-Vasiliev theory with extended supersymmetry. The higher spin gauge theory in [12, 13] is obtained by a Z2 truncation with λ = 1/2.2 For the N = 3 holography, we assign U(2M ) CP factor and the U(M ) invariant condition as mentioned above. The gauge algebra shsM′[λ] for the N = 2 higher spin gauge theory with U(M ′) CP factor is defined as sBM′ [λ] ≡ sB[λ] ⊗ MM′ = C ⊕ shsM′[λ]. The matrix algebra MM′ with M ′ = 2n can be generated by the Clifford elements φI (I = 1, 2, · · · , 2n + 1) satisfying {φI , φJ } = 2δIJ This indicates that the truncated algebra shsTM′[1/2] includes osp(2n + 1|2) subalgebra [6, 12, 17, 27].
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