Doubletons and 5D higher spin gauge theory

By E. Sezgin, P. Sundell. 2001

151 citations recorded by the source corpus.

We use Grassmann even spinor oscillators to construct a bosonic higher spin extension hs(2,2) of the five-dimensional anti-de Sitter algebra SU(2,2), and show that the gauging of hs(2,2) gives rise to a spectrum of physical massless fields with spin s = 0,2,4,... that is a UIR of hs(2,2). In addition to a master gauge field which contains the massless s = 2,4,... fields, we construct a scalar master field containing the massless s = 0 field, the generalized Weyl tensors and their derivatives. We give the appropriate linearized constraint on this master scalar field, which together with a linearized curvature constraint produces the correct linearized field equations. A crucial step in the construction of the theory is the identification of a central generator K which is eliminated by means of a coset construction. Its charge vanishes in the spectrum , which is the symmetric product of two spin zero doubletons. We expect our results to pave the way for constructing an interacting theory whose curvature expansion is dual to a CFT based on higher spin currents formed out of free doubletons in the large-N limit. Thus, extending a recent proposal of Sundborg (hep-th/0103247), we conjecture that the hs(2,2) gauge theory describes a truncation of the bosonic massless sector of tensionless type-IIB string theory on AdS5 × S5 for large N. This implies AdS/CFT correspondence in a parameter regime where both boundary and bulk theories are perturbative.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6c50a5d2aaf3f90eb11089e55002c25ecc9e5614

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Giombi
2. Xi Yin
3. I. Klebanov
4. X. Bekaert
5. P. Sundell
6. Nicolas Boulanger
7. E. Sezgin
8. M. Gaberdiel

In Nuclear and High Energy Physics

1. S. Giombi
2. Xi Yin
3. I. Klebanov
4. X. Bekaert
5. P. Sundell
6. Nicolas Boulanger
7. N. Beisert
8. A. Tseytlin

Citations in the corpus

• Massless higher spins and holography (2002, methodology): “The precise spectrum of twist 2 operators and the corresponding HS symmetry algebra extension of the conformal/AdS group was constructed in [9, 10] using group theoretic methods which shows that the twist 2 operators in fact form an irreducible ‘gauge’ multiplet of the HS algebra.”
• Higher spin gauge theory and holography: the three-point functions (2009, background): “A remarkable conjecture made by Klebanov and Polyakov [22], closely related to earlier ideas put forth in [5, 6, 23, 24, 25, 26, 27] and in particular [28], has provided the first example of a potential dual pair that involves a weakly coupled (possibly free) large N gauge theory on one side, and an”
• Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT (2014, unknown): “38 The corresponding conserved currents appearing in the product of two spin 1 doubletons as in [94, 95, 61, 96, 97, 88, 49, 98] are also in specific mixed-symmetry representations of SO(2, 4).”
• Holography in 4D (super) higher spin theories and a test via cubic scalar couplings (2003, methodology): “Motivated by the advances made in AdS/CFT correspondence in recent years, this connection was revisited in [2] and an increasingly sharpened picture of HS/CFT correspondence has begun to emerge [3, 4, 5, 6, 7, 8].”
• Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism (2008, background): “These carry a manifestly unitarizable representation of the higher-spin algebra given by the tensor product of two scalar singletons [5], as was initially checked in D = 4 [6, 7] and later examined in the context of higher-spin gauge theory in various dimensions in [8, 9, 10, 11].”
• Higher Spin Symmetry and N = 4 SYM (2004, background): “For example na2 + nc1 ≥ 0 and nb2 + nd2 ≥ 0 together with (4.2) imply the lower bounds ∆ ≥ 2j + 3 2 q1 + p+ 1 2 q2 , ∆ ≥ 2̄+ 12q1 + p+ 32q2 , (4.4) for the conformal dimension of any state (not only HWS’s!).”
• How higher-spin gravity surpasses the spin-two barrier (2010, methodology): “The concrete relation with Vasiliev’s unfolded equations in four and five dimensions was elaborated in [15, 18, 128], and the fully non-linear bosonic higher-spin gravity in any dimension was then found in [8].”
• A semi-classical limit of the gauge/string correspondence (2002, background): “In fact, recently there appeared interesting ideas on how to extend the AdS/CFT duality to large N gauge theory at weak ‘t Hooft coupling λ [21, 22, 7, 23, 24, 25].”
• Conformal higher spin theory (2002, background): “[23] and to hs(2, 2) of [38] where it was used for the analysis of the linearized dynamics of the higher spin massless fields of even spins in 5D anti-de Sitter space.”
• On the uniqueness of higher-spin symmetries in AdS and CFT (2013, unknown): “In d = 5 however one can benefit from the isomorphism between so(4, 2) and su(2, 2) and implement automatically the above identities using the spinor oscillators b and aα, transforming in the fundamental and the conjugated fundamental representations of su(2, 2), respectively, [16,69–71].”
• AdS dual of the critical O(N) vector model (2002, methodology): “In particular, it was proposed that the massless higher-spin gauge theory with N = 8 supersymmetry in AdS5 is closely related to the free N = 4 large N SYM theory [11, 12, 15, 16, 18].”