Holography of the N=1 higher spin theory on AdS(4)

By Robert G. Leigh, A. Petkou. 2003

195 citations recorded by the source corpus.

We argue that the N = 1 higher-spin theory on AdS4 is holographically dual to the N = 1 supersymmetric critical O(N) vector model in three dimensions. This appears to be a special form of the AdS/CFT correspondence in which both regular and irregular bulk modes have similar roles and their interplay leads simultaneously to both the free and the interacting phases of the boundary theory. We study various boundary conditions that correspond to boundary deformations connecting, for large-N, the free and interacting boundary theories. We point out the importance of parity in this holography and elucidate the Higgs mechanism responsible for the breaking of higher-spin symmetry for subleading N.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f15fb7bf74957cd5e557c976ceb3f083af5b07e9

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In Nuclear and High Energy Physics

1. S. Giombi
2. Eric Perlmutter
3. Xi Yin
4. Rajesh Gopakumar
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Citations in the corpus

• d = 3 bosonic vector models coupled to Chern-Simons gauge theories (2011, background): “The gravity dual for this case was discussed in [44, 45], and it would be interesting to generalize our discussion of the theory with finite λ to this case.”
• Spinning AdS propagators (2014, background): “More recently there has been a resurgence of higher spin gauge theories in AdS4 [2, 3, 4, 5], conjectured to be dual to three-dimensional CFTs like the O(N) vector model [6], the Gross-Neveu model [7] or certain large N Chern-Simons theories [8].”
• ABJ triality: from higher spin fields to strings (2012, background): “analogues of the Type A and type B bosonic Vasiliev theories [12, 13, 14, 3, 15, 16].”
• AdS description of induced higher-spin gauge theory (2013, background): “These theories have been conjectured to be dual to 3-d CFTs such as the critical O(N) model [16], or the Gross-Neveu model [17,18], or various large N Chern-Simons theories coupled to conformal matter in the fundamental representation of the gauge group [19, 20].”
• F-theorem without supersymmetry (2011, background): “The higher-spin duals of these theories in AdS4 were conjectured in [66, 67], and recently these conjectures were subjected to non-trivial tests [61,62].”
• Black holes in three dimensional higher spin gravity: a review (2012, background): “An impressive amount of evidence for the duality has been obtained in recent years [24,25,26,27,28,29,30], including the calculation of three point functions in the bulk [31,32,33].”
• Chern–Simons theory with vector fermion matter (2011, background): “The set of single trace primaries is given, as in the free theory [28], by a single “current” J (s) μ1.”
• Boundary conditions and dualities: vector fields in AdS/CFT (2006, methodology): “After posting the first version of this paper on the hep-th arxiv, we became aware of a body of literature with results overlapping those presented here for the case d = 3. In particular, the fact that ‘conjugate’ boundary conditions in AdS4 are dual to a CFT3 with a dynamical gauge theory was descr”
• Holography in 4D (super) higher spin theories and a test via cubic scalar couplings (2003, result): “Some of the results of Section 4 overlap with those of [ 24 ] which appeared during the preparation of this paper.”
• Light-front higher-spin theories in flat space (2016, background): “Higher-spin theories in anti-de Sitter space later received a solid ground on the base of AdS/CFT correspondence [6–8] where higher-spin theories are supposed to be generic duals of free CFT’s [9–12] with certain interacting ones accessible via an alternate choice [13] of boundary conditions [9, 11,”
• Scalar fields and three-point functions in D = 3 higher spin gravity (2011, background): “This proposal was studied early on in [11,12,13], as well as in the recent papers [14,15,16,17,18].”
• One loop tests of higher spin AdS/CFT (2013, background): “Similarly, 3-d theories of N massless fermion fields have been conjectured to be dual to Vasiliev’s type B theory, where the scalar has negative parity [10, 11].”