TY - RPRT
T1 - Families of Monads and Instantons from a Noncommutative ADHM Construction
Y1 - 2009
A1 - Simon Brain
A1 - Giovanni Landi
AB - We give a \\\\theta-deformed version of the ADHM construction of SU(2) instantons with arbitrary topological charge on the sphere S^4. Classically the instanton gauge fields are constructed from suitable monad data; we show that in the deformed case the set of monads is itself a noncommutative space. We use these monads to construct noncommutative `families\\\' of SU(2) instantons on the deformed sphere S^4_\\\\theta. We also compute the topological charge of each of the families. Finally we discuss what it means for such families to be gauge equivalent.
UR - http://hdl.handle.net/1963/3478
U1 - 786
U2 - Mathematics
U3 - Mathematical Physics
ER -