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On the integrability of plane wave matrix theory
Mathematical Physics| Speaker: | Jan Plefka, MPI Potsdam |
| Location: | 693 Kerr |
| Start time: | Fri, Sep 17 2004, 2:10PM |
Description
Recently a proposal for the microscopic description
of M-theory in the maximally supersymmetric piane
wave background was put forward in terms of a SU(N)
gauge quntum mechanical model. It represents a
mass deformed version of the "BFSS" matrix theory
corresponding to 11d Minkowski space backgrounds.
In our talk we introduce the model and its perturbative
structure and demonstrate that it may be obtained
from a dimensional reduction of d=4, N=4 Super
Yang-Mills on a three sphere down to one time
dimension. Moreover, the integrable structures recently
observed in N=4 Super Yang-Mills carry over to this
reduced model, at least up to three loop level:
In the large N limit the spectrum of the model is
related to an integrable spin chain with long range
interactions.