|Speaker:||Horatiu Nastase (Tokyo Institute of Technology)|
|Title:||Fuzzy spheres and M2-M5 systems in ABJM|
|Date:||Tue, Nov 10, 2009, 13:15 - 14:45|
|Place:||Seminar Room at IPMU Prefab. B|
The vacua of the mass-deformed ABJM theory are fuzzy spheres,
corresponding in the pure ABJM theory to "fuzzy funnel"
BPS solutions, both describing M2-M5 systems. I show that contrary
to naive expectations, these are fuzzy 2-spheres, not 3-spheres.
I show that we have a novel description of the fuzzy 2-sphere
in terms of bifundamental matrices, completely equivalent to
the usual one (in terms of SU(2) representations), and giving
in the classical limit Killing spinors on the 2-sphere.