Two-loop N=4 super-Yang–Mills effective action and interaction between D3-branes
Abstrak
Abstract We compute the leading low-energy term in the planar part of the 2-loop contribution to the effective action of N =4 SYM theory in 4 dimensions, assuming that the gauge group SU ( N +1) is broken to SU ( N )× U (1) by a constant scalar background X . While the leading 1-loop correction is the familiar c 1 F 4 /| X | 4 term, the 2-loop expression starts with c 2 F 6 /| X | 8 . The 1-loop constant c 1 is known to be equal to the coefficient of the F 4 term in the Born–Infeld action for a probe D3-brane separated by distance | X | from a large number N of coincident D3-branes. We show that the same is true also for the 2-loop constant c 2 : it matches the coefficient of the F 6 term in the D3-brane probe action. In the context of the AdS/CFT correspondence, this agreement suggests a non-renormalization of the coefficient of the F 6 term beyond two loops. Thus the result of hep-th/9706072 about the agreement between the v 6 term in the D0-brane supergravity interaction potential and the corresponding 2-loop term in the (1+0)-dimensional reduction of N =4 SYM theory has indeed a direct generalization to 1+3 dimensions, as conjectured earlier in hep-th/9709087. We also discuss the issue of gauge theory—supergravity correspondence for higher order ( F 8 , etc.) terms.
Topik & Kata Kunci
Penulis (3)
I. Buchbinder
A. Petrov
A. Tseytlin
Akses Cepat
- Tahun Terbit
- 2001
- Bahasa
- en
- Total Sitasi
- 65×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/S0550-3213(01)00575-2
- Akses
- Open Access ✓