Conformal higher spin symmetries of 4D massless supermultiplets and osp(L,2M) invariant equations in generalized (super)space
By Mikhail A. Vasiliev. 2001
188 citations recorded by the source corpus.
Realization of the conformal higher spin symmetry on the 4d massless field supermultiplets is given. The self-conjugated supermultiplets, including the linearized N = 4 SYM theory, are considered in some detail. Duality between non-unitary field-theoretical representations and the unitary doubleton–type representations of the 4d conformal algebra su(2,2) is formulated in terms of a Bogolyubov transform. The set of 4d massless fields of all spins is shown to form a representation of sp(8). The obtained results are extended to the generalized superspace invariant under osp(L,2M) supersymmetries. World line particle interpretation of the free higher spin theories in the osp(2N,2M) invariant (super)space is given. Compatible with unitarity free equations of motion in the osp(L,2M) invariant (super)space are formulated. A conjecture on the chain of AdSd+1/CFTd → AdSd/CFTd−1 → ... dualities in the higher spin gauge theories is proposed.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/233d92e1fe4ca7b0cecf1c6ccf41d78b7b0bc1fd
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- The higher spin/vector model duality (2012, background): “The holographic duality between Vasiliev’s higher spin gauge theory in AdS4 and O(N) vector models was conjectured a decade ago [1, 2] (see also [3–9] and in particular [10] for earlier closely related work).”
- Massless higher spins and holography (2002, background): “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.”
- Elements of Vasiliev theory (2014, background): “Combining together the fact that locally solution is reconstructed from values of zeroforms at a point and the general property of unfolded equations that zero-forms take values in certain representation, say R, of the underlying Lie algebra, we can conclude that R is related to the space of one-par”
- Parent Field Theory and Unfolding in BRST First-Quantized Terms (2004, background): “he form ΩΦ = 0 with Φ a collection of fields which are differential p-forms andΩ a flat covariant differential, the dynamical fields were iden tified with the cohomology of Ω−1 at form degree palready in [24, 22]. PARENT FIELD THEORY AND UNFOLDING 15 then construct the operator ρ= ( GF Ω−1) −1. Because ”
- 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].”
- 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”
- 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].”
- How higher-spin gravity surpasses the spin-two barrier (2010, background): “In order to avoid non-integrabilities in a systematic fashion, a natural resolution is to abandon the standard perturbative approach (formulating interactions in expansions around ordinary lower-spin backgrounds) in favor of the unfolded approach [65, 6, 66, 67] which allows a generalized perturbati”