Brane partons and singleton strings

J. Engquist, P. Sundell

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)


We examine p-branes in AdSD in two limits where they exhibit partonic behavior: rotating branes with energy concentrated to cusp-like solitons; tensionless branes with energy distributed over singletonic bits on the Dirac hypercone. Evidence for a smooth transition from cusps to bits are found. First, each cusp yields D - 2 normal-coordinate bound states with protected frequencies; and is dual to a short open p-brane becoming massless on the giant-vacuum brane at the end-of-the-universe. Second, the Nbit-sector is an sp (2 Nbit)-gauged phase-space sigma model giving rise to symmetrized Nbit-pletons of the minimal higher-spin algebra ho0 (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; equivalent à la Bars-Vasiliev to an su (2)-gauged spinor string; and furthermore dual to WZW model in turn containing a topological over(so, ̂) (6, 2)-2 / (over(so, ̂) (6) ⊕ over(so, ̂) (2))-2 coset model giving rise to a chiral ring generated by singleton-valued weight-0 spin fields. Moreover, the two-bit truncation leads via a reformulation à la Cattaneo-Felder-Kontsevich to a topological open string on the phase space of the D-dimensional Dirac hypercone giving rise to the Vasiliev equations based on vector oscillators and weak sp (2)-projection. Geometrically, the bi-locality reflects broken boundary-singleton worldlines, and the intertwiner κ relates T- and R-ordered deformations of the boundary and the bulk of the worldsheet, respectively.

Original languageEnglish
Pages (from-to)206-279
Number of pages74
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 18 Sep 2006

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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