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Brane partons and singleton strings
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
2006 (English)In: Nucl. Phys., Vol. B752, 206-279 p.Article in journal (Refereed) Published
Abstract [en]

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 N-tupletons of the minimal higher-spin algebra ho_0(D-1,2)\supset so(D-1,2). The continuum limit leads to a 2d chiral sp(2)-gauged sigma model which is critical in D=7; equivalent a la Bars-Vasiliev to an su(2)-gauged spinor string; and furthermore dual to a WZW model in turn containing a topological \hat{so}(6,2)_{-2}/(\hat{so}(6)\oplus \hat\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 reformulation a 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 kappa can be seen to relate T and R-ordered deformations of the boundary and the bulk of the worldsheet, respectively.

Place, publisher, year, edition, pages
2006. Vol. B752, 206-279 p.
URN: urn:nbn:se:uu:diva-20246DOI: doi:10.1016/j.nuclphysb.2006.06.040OAI: oai:DiVA.org:uu-20246DiVA: diva2:48019
Available from: 2006-12-06 Created: 2006-12-06 Last updated: 2011-01-11

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Publisher's full texthttp://uk.arxiv.org/abs/hep-th/0508124

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Sundell, Per
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