Noncommutative D-brane in a nonconstant NS-NS \(B\) field background. (English) Zbl 1369.81094
Summary: We show that, when the field strength \(H\) of the NS-NS \(B\) field does not vanish, the coordinates \(x\) and momenta \(p\) of open string end points satisfy a set of mixed commutation relations among themselves. Identifying \(x\) and \(p\) with the coordinates and derivatives of the D-brane world volume, we find a new type of noncommutative space which is very different from those associated with a constant \(B\) field background.
MSC:
81T75 | Noncommutative geometry methods in quantum field theory |
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |