Brane partons and singleton strings

Abstract

We examine p-branes in AdS D in two limits where they exhibit partonic behavior: rotating branes with energy concentrated to cusp-like solitons; tensionless branes with energy distributed over singletonic partons on the Dirac hypercone. Evidence for a smooth transition from cusps to partons is found. First, each cusp yields D − 2 normal-coordinate bound states with protected frequencies (for p > 2 there are additional bound states); and can moreover be related to a short open p-brane whose tension diverges at the AdS boundary leading to a decoupled singular CFT at the "brane at the end-of-the-universe". Second, discretizing the closed p-brane and keeping the number N of discrete partons finite yields an sp(2N )-gauged phase-space sigma model giving rise to symmetrized Ntupletons of the minimal higher-spin algebra ho 0 (D − 1, 2) ⊃ so(D − 1, 2). The continuum limit leads to a 2d chiral sp(2)-gauged sigma model which is critical in D = 7; equivalentá la Bars-Vasiliev to an su(2)-gauged spinor string; and furthermore dual to a WZW model in turn containing a topological so(6, 2) −2 /( so(6) ⊕ so(2)) −2 coset model with a chiral ring generated by singleton-valued weight-0 spin fields. Moreover, the two-parton truncation can be linked via a reformulationá la Cattaneo-Felder-Kontsevich to a topological open string on the phase space of the D-dimensional Dirac hypercone. We present evidence that a suitable deformation of the open string leads to the Vasiliev equations based on vector oscillators and weak sp(2)-projection. Geometrically, the bi-locality reflects broken boundary-singleton worldlines, while Vasiliev's intertwiner κ can be seen to relate T and R-ordered deformations of the boundary and the bulk of the worldsheet, respectively.

New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity

“…string amplitudes [31], but nonetheless reproduce exactly the same correlation functions as the Witten diagrams computed in the quasi-local theory. We would like to stress the fact that the Hamiltonian form of the action implies that the dependence of the classical Vasiliev master fields on classical sources are of a different type than for fields obeying equations of motion following from an action with self-adjoint kinetic terms.…”

“…Then the terms in (4.21) of spin-s Weyl tensor at large radius, by a simple power counting, scale as 31) and hence each term is either Kerr-like (when B 2 = C 2 ) or 2-brane-like (when B 2 = C 2 ) in the asymptotic region. The Weyl tensor as the sum of these terms falls off as 1 r s+1 , which is the regular boundary condition of asymptotically AdS 4 solutions.…”

FRW and domain walls in higher spin gravity

“…The FRW-like solutions are intriguing because if higher spin fluctuation fields are suppressed by the background, then they may yield cosmologically viable models based on Vasiliev's theory, opening up a new window for embedding the standard models of particles and cosmology into higher spin theory, which may be viewed as the unbroken phase of string theory in which the string is tensionless [2,[21][22][23][24]. This setting will inevitably involve the coupling of an infinite number of (massive) higher spin multiplets.…”

“…The Vasiliev equations of motion are given by 22) for parameters obeying the same kinematic conditions as the connection, viz.…”

Higher Spin Matrix Models

“…In the tensionless (high-energy) limit of string theory, its spectrum is spanned by massless modes that exhibits higher spin symmetries [1] (also in the first quantized level [2]), expectedly equivalent to those of HSGR [3]. The latter arguments have led to the idea that higher spin gravity might describe a high-energy/tensionless-limit of string theory (see e.g., [4][5][6][7][8][9]), or reciprocally that string theory might appear as a broken symmetry phase of some version of higher spin gravity. This also suggests that HSGR is a manifestation of M-theory.…”