TY - JOUR

T1 - Singleton deformation of higher-spin theory and the phase structure of the three-dimensional O(N) vector model

AU - Leigh, Robert G.

AU - Petkou, Anastasios C.

PY - 2013/8/19

Y1 - 2013/8/19

N2 - We consider a singleton deformation of the AdS4 higher-spin theory dual to the three-dimensional O(N) vector model. The singleton couples to the higher-spin multiplet only through a marginal boundary interaction. We argue that the effect of such a deformation is to shift N→N+1 in both sides of the holographic correspondence and we show how the gap equations of the three-dimensional O(N) vector model arise from the higher-spin theory. The singleton deformation breaks higher-spin symmetry and gives rise to the well-known 1/N anomalous dimensions of the boundary theory.

AB - We consider a singleton deformation of the AdS4 higher-spin theory dual to the three-dimensional O(N) vector model. The singleton couples to the higher-spin multiplet only through a marginal boundary interaction. We argue that the effect of such a deformation is to shift N→N+1 in both sides of the holographic correspondence and we show how the gap equations of the three-dimensional O(N) vector model arise from the higher-spin theory. The singleton deformation breaks higher-spin symmetry and gives rise to the well-known 1/N anomalous dimensions of the boundary theory.

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U2 - 10.1103/PhysRevD.88.046006

DO - 10.1103/PhysRevD.88.046006

M3 - Article

AN - SCOPUS:84884844824

SN - 1550-7998

VL - 88

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 4

M1 - 046006

ER -