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Prog. Theor. Phys. Vol. 109 No. 4 (2003) pp. 687-707

[ Full Text PDF : FREE ACCESS (216K) ]

Born-Infeld Action from Supergravity

Matsuo Sato1,* and Asato Tsuchiya1,2,**

1Department of Physics, Graduate School of Science, Osaka University, Toyonaka 560-0043, Japan
2Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics,
Massachusetts Institute of Technology, Cambridge, MA 02139, USA

(Received November 26, 2002)

Abstract:

We show that the Born-Infeld action with the Wess-Zumino terms for the Ramond-Ramond fields, which is the D3-brane effective action, is a solution to the Hamilton-Jacobi (H-J) equation of type IIB supergravity. Adopting the radial coordinate as time, we develop the ADM formalism for type IIB supergravity reduced on S5 and derive the H-J equation, which is the classical limit of the Wheeler-De Witt equation and whose solutions are classical on-shell actions. The solution to the H-J equation reproduces the on-shell actions for the supergravity solution of a stack of D3-branes in a B2 field and the near-horizon limit of this supergravity solution, which is conjectured to be dual to noncommutative Yang Mills and reduces to AdS5 ×S5 in the commutative limit. Our D3-brane effective action is that of a probe D3-brane, and the radial time corresponds to the vacuum expectation value of the Higgs field in the dual Yang Mills. Our findings can be applied to the study of the holographic renormalization group.


URL : http://ptp.ipap.jp/link?PTP/109/687/
DOI : 10.1143/PTP.109.687


*E-mail: machan@het.phys.sci.osaka-u.ac.jp
**E-mail: asato@lns.mit.edu

[ Full Text PDF : FREE ACCESS (216K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 116 No. 5 (2006) pp. 919-936 :
    World-Sheets from N = 4 Super Yang-Mills
    Matsuo Sato
  2. Progress of Theoretical Physics Vol. 118 No. 2 (2007) pp. 337-346 :
    On-Shell Action for Bubbling Geometries
    Matsuo Sato

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