Born-Infeld Action from Supergravity

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概要

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• 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 S^5 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 B_2 field and the near-horizon limit of this supergravity solution, which is conjectured to be dual to noncommutative Yang Mills and reduces to AdS_5 × S^5 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.

• 理論物理学刊行会の論文
• 2003-04-25

著者

• TSUCHIYA Asato

  Department of Physics, Graduate School of Science, Osaka University

• Steck M.

  Department Of Physics Tokyo Institute Of Technology

• Sato Matsuo

  Department of Mechanical Engineering Hachinohe Institute of Technology

• Sato M

  Department Of Physics Tokyo Institute Of Technology

• SATO Masaaki

  College of General Education, Osaka University

• Tsuchiya A

  Osaka Univ. Toyonaka Jpn

• Tsuchiya Asato

  Department Of Physics Graduate School Of Science Osaka University

• Tsuchiya Asato

  Department Of Physics Graduate School Of Science Osaka University : Center For Theoretical Physics L

• TSUCHIYA Asato

  Department of Physics, Graduate School of Science Osaka University

• TSUCHIYA Asato

  Department of Physics, Graduate School of Science, Osaka University : Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology

• SATO Matsuo

  Department of Physics, Graduate School of Science, Osaka University

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