Brane partons and singleton strings

J. Engquist, P. Sundell

Resultado de la investigación: Article

39 Citas (Scopus)

Resumen

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.

Idioma originalEnglish
Páginas (desde-hasta)206-279
Número de páginas74
PublicaciónNuclear Physics B
Volumen752
N.º1-2
DOI
EstadoPublished - 18 sep 2006

Huella dactilar

partons
strings
cusps
algebra
sectors
universe
solitary waves
projection
oscillators
continuums
vacuum
energy
rings
approximation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

Engquist, J. ; Sundell, P. / Brane partons and singleton strings. En: Nuclear Physics B. 2006 ; Vol. 752, N.º 1-2. pp. 206-279.
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Brane partons and singleton strings. / Engquist, J.; Sundell, P.

En: Nuclear Physics B, Vol. 752, N.º 1-2, 18.09.2006, p. 206-279.

Resultado de la investigación: Article

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T1 - Brane partons and singleton strings

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AU - Sundell, P.

PY - 2006/9/18

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N2 - 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.

AB - 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.

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SN - 0550-3213

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