### Resumen

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 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 N_{bit}-sector is an sp (2 N_{bit})-gauged phase-space sigma model giving rise to symmetrized N_{bit}-pletons 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; 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 original | English |
---|---|

Páginas (desde-hasta) | 206-279 |

Número de páginas | 74 |

Publicación | Nuclear Physics B |

Volumen | 752 |

N.º | 1-2 |

DOI | |

Estado | Published - 18 sep 2006 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Nuclear Physics B*,

*752*(1-2), 206-279. https://doi.org/10.1016/j.nuclphysb.2006.06.040

}

*Nuclear Physics B*, vol. 752, n.º 1-2, pp. 206-279. https://doi.org/10.1016/j.nuclphysb.2006.06.040

**Brane partons and singleton strings.** / Engquist, J.; Sundell, P.

Resultado de la investigación: Article

TY - JOUR

T1 - Brane partons and singleton strings

AU - Engquist, J.

AU - Sundell, P.

PY - 2006/9/18

Y1 - 2006/9/18

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.

UR - http://www.scopus.com/inward/record.url?scp=33746788113&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2006.06.040

DO - 10.1016/j.nuclphysb.2006.06.040

M3 - Article

VL - 752

SP - 206

EP - 279

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -