SOLITON AND EXACT SOLUTIONS IN NONCOMMUTATIVE FIELD THEORY
Chuanjie Zhu (Institute for Theoretical Physics, Chinese Academy of Sciences, Beijing 100080)
We give an elementary introduction to the soliton and exact solutions in noncommutative field theory. Starting from a through discussion about the representations and some basisc calculations of the flat noncommutative space time, we introduce the concept of noncommutative field theory and proceed to find the soliton and exact solutions in these field theories. These solutions include the instantons and BPS solitons in theories with gauge fields. Applications of these solutions as describing the D branes in open bosonic string and superstring theories are also discussed.