Supergravity and large-\(N\) noncommutative field theories. (English) Zbl 0957.81049
Summary: We consider systems of D\(p\) branes in the presence of a nonzero \(B\) field. We study the corresponding supergravity solutions in the limit where the branes worldvolume theories decouple from gravity. These provide dual descriptions of large \(N\) noncommutative field theories. We analyse the phase structure of the theories and the validity of the different description. We provide evidence that in the presence of a nonzero \(B\) field the worldvolume theory of D6 branes decouples from gravity. We analyse the systems of M5 branes and NS5 branes in the presence of a nonzero \(C\) field and nonzero RR fields, respectively. Finally, we study the Wilson loops (surfaces) using the dual descriptions.
MSC:
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
83E50 | Supergravity |
83E30 | String and superstring theories in gravitational theory |
81T75 | Noncommutative geometry methods in quantum field theory |