Abstract
We propose a direct correspondence between the classical evolution equations of 5-d supergravity and the renormalization group (RG) equations of the dual 4-d large-N gauge theory. Using standard Hamilton-Jacobi theory, we derive first order flow equations for the classical supergravity action S, that take the usual form of the Callan-Symanzik equations, including the corrections due to the conformal anomaly. This result gives direct support for the identification of S with the quantum effective action of the gauge theory. In addition we find interesting new relations between the beta-functions and the counterterms that affect the 4-d cosmological and Newton constant.
Original language | English (US) |
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Pages (from-to) | 1-15 |
Number of pages | 15 |
Journal | Journal of High Energy Physics |
Volume | 4 |
Issue number | 8 PART A |
State | Published - 2000 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- AdS-CFT Correspondance
- Renormalization Regularization and Renormalons
- Space-Time Symmetries