Born-Infeld Action from Supergravity
Born-Infeld Action from Supergravity
复制标题
超重力的出生-因费尔德作用
DOI：
10.1143/ptp.109.687
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发表时间：
2002
影响因子：
--
通讯作者：
A. Tsuchiya
中科院分区：
文献类型：
--
作者：
Matsuo Sato;A. Tsuchiya
我们证明了Ramond-Ramond场的带有Wess-Zumino项的Born-Infeld作用量（D3-brane有效作用量）是IIB型超引力Hamilton-Jacobi（H-J）方程的解.采用径向坐标作为时间，发展了约化在S5上的IIB型超引力的ADM形式，导出了Wheeler-De Witt方程的经典极限H-J方程，它的解是经典的壳作用量. H-J方程的解再现了B 2场中D3-膜叠层超引力解的壳作用量和该超引力解的近视界极限，证明了该解与非对易杨米尔斯对偶，并在对易极限下约化为AdS 5 × S5.我们的D3-膜有效作用量是探测D3-膜的作用量，径向时间对应于对偶杨米尔斯中Higgs场的真空期望值。我们的研究结果可以应用于全息重整化群的研究。
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 x 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.