TY - JOUR

T1 - Brane partons and singleton strings

AU - Engquist, J.

AU - Sundell, P.

N1 - Funding Information:
We are grateful to P. Howe, U. Lindström, P. Rajan, L. Tamassia and in particular D. Francia, A. Sagnotti, E. Sezgin and M. Vasiliev for many discussions and remarks. We have also enjoyed conversations with D. Anselmi, X. Bekaert, M. Bianchi, G. Bonelli, A. Bredthauer, M. Cederwall, U. Danielsson, C. Iazeolla, R. Leigh, S. Lyakhovich, J. Minahan, B. Nilsson, M. Nishimura, M. Olsson, J. Persson, A. Petkou, K. Skenderis, D. Sorokin, B. Sundborg, M. Tsulaia, M. Vonk and K. Zarembo. We wish to thank the string-theory group at Università di Roma “Tor Vergata” and the George P. and Cynthia W. Mitchell Institute for Fundamental Physics at Texas A & M University for their hospitality. Part of the work was supported by INTAS grant 99-1-590.

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

AN - SCOPUS:33746788113

VL - 752

SP - 206

EP - 279

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -