Massless higher spins and holography

By E. Sezgin, P. Sundell. 2002

655 citations recorded by the source corpus.

Abstract We treat free large N superconformal field theories as holographic duals of higher spin (HS) gauge theories expanded around AdS spacetime with radius R . The HS gauge theories contain massless and light massive AdS fields. The HS current correlators are written in a crossing symmetric form including only exchange of other HS currents. This and other arguments point to the existence of a consistent truncation to massless HS fields. A survey of massless HS theories with 32 supersymmetries in D =4,5,7 (where the 7D results are new) is given and the corresponding composite operators are discussed. In the case of AdS 4 , the cubic couplings of a minimal bosonic massless HS gauge theory are described. We examine high energy/small tension limits giving rise to massless HS fields in the type IIB string on AdS 5 × S 5 and M-theory on AdS 4/7 × S 7/4 . We discuss breaking of HS symmetries to the symmetries of ordinary supergravity, and a particularly natural Higgs mechanism in AdS 5 × S 5 and AdS 4 × S 7 where the HS symmetry is broken by finite g YM . In AdS 5 × S 5 it is shown that the supermultiplets of the leading Regge trajectory cross over into the massless HS spectrum. We propose that g YM 2 =0 corresponds to a critical string tension of order 1/ R 2 and a finite string coupling of order 1/ N . In AdS 7 × S 4 we give a rotating membrane solution coupling to the massless HS currents, and describe these as limits of Wilson surfaces in the A N −1 (2,0) SCFT, expandable in terms of operators with anomalous dimensions that are asymptotically small for large spin. The minimal energy configurations have semi-classical energy E = s for all s and the geometry of infinitely stretched strings with energy and spin density concentrated at the endpoints.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c330ee0b0a316df766dba6bf005b2fbb3d30bb3e

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Citations in the corpus

Chern–Simons theory with vector fermion matter (2011, background): “What is the bulk dual description of the line of CFTs studied in this paper? In order to address this question, we first note that it has been conjectured in [27], extending [25] (see also [26] for earlier related work), that our field theory in the free λ → 0 limit admits a dual description as the ”
Higher Spin Symmetry and N = 4 SYM (2004, background): “e basic building block some singleton of SU(2,2|4) with non vanishing central charge C = C0. These non self-conjugate singletons play only a marginal accessory role in (perturbative) N = 4 SYM theory [41,16,17,7,42]. 9 ﬁrst considers the enveloping algebra of psu(2,2|4), which is an associative alge”
Quartic AdS interactions in higher-spin gravity from Conformal Field Theory (2015, background): “A decade ago, it was conjectured [43, 44] that unbroken Vasiliev’s higher-spin theory [45–47] is dual to the free O(N) vector model.”
Higher spin gravity with matter in AdS3 and its CFT dual (2011, background): “A particularly simple class of conjectured AdS/CFT dualities [5, 6, 11] avoids these difficulties.”
Emergent spacetime and holographic CFTs (2011, neutral): “See [43], [44], [45], [46], [47], [48] for related work.”
Minimal model holography (2012, result): “Recall that this was the compelling piece of evidence [67, 68] for the Klebanov–Polyakov proposal for AdS4/CFT3 [90] and its generalizations [106]; see also [109, 118, 97, 105] for earlier work.”
Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory (2012, neutral): “2) A natural candidate for the CFT dual was conjectured to be a free vector model, [15,16], which has the same spectrum of singlet currents jk(s) = φ(x)( ←− ∂k − −→ ∂k) φ(x) , (1.”
Thermodynamics of higher spin black holes in 3D (2012, background): “In weakly interacting limits large-N field theories have been argued to be dual to higher spin theories of gravity in AdS spacetimes [7, 8, 9, 10, 11].”
How higher-spin gravity surpasses the spin-two barrier (2010, methodology): “More generally, a key physical effect of having a negative cosmological constant is the formation of cusps on spiky closed strings [164, 165] (for generalizations to membranes, see [18]).”
Bi-local holography in the SYK model (2016, neutral): “For the generic case of N -component Vector/Higher Spin Gravity duality [29, 30] bi-locality provides an explicit implementation of holography [28, 31–35].”
Tensionless strings from worldsheet symmetries (2015, background): “All of this has come to the forefront of research in the recent years with the discovery of new higher spin holographic dualities following Klebanov-Polyakov-Sezgin-Sundell [8, 9] and more recently Gaberdiel-Gopakumar [10], and subsequent attempts to connect these to string theory (e.”
Higher spin black holes (2011, background): “Introduction Theories of gravity coupled to massless higher spin fields [1,2,3,4,5] have received increased attention in recent years due to their appearance within the AdS/CFT correspondence [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21].”
Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, background): “In this tensionless limit of string theory there is also an interesting supersymmetric version of the Higgs effect discussed in [36, 37, 38, 39], which relates to some of the holomorphic operators we have considered becoming part of long representations.”