MS Seminar (Mathematics - String Theory)

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
Related File: 175.pdf
Abstract: 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.