Speaker: | Horatiu Nastase (Tokyo Institute of Technology) |
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Title: | Fuzzy spheres and M2-M5 systems in ABJM |
Date (JST): | 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. |