Departmental Oral Examination (Thesis Title: “Emergent Spacetime in Matrix Models")
Event Start:
2018-09-13T12:00:00
Event End:
2018-09-13T14:00:00
Event Information:
Abstract:
We study the noncommutative geometry associated to matrices of N quantum dots in the matrix models. The earlier work established a surface embedded in flat R^3 from three Hermitian matrices. We construct coherent states corresponding to points in the emergent geometry and find the original matrices determine not only shape of the emergent surface, but also a unique Poisson structure. We prove that commutators of matrix operators correspond to Poisson brackets. Through our construction, we can realize arbitrary noncommutative membranes embedded in R^3.
Event Location:
CEME 1210
Speaker:
HUAI-CHE (KEN) YEH
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Event Start:
2018-09-13T12:00:00
Event End:
2018-09-13T14:00:00
Departmental Oral Examination (Thesis Title: “Emergent Spacetime in Matrix Models")
Event Information:
Abstract:
We study the noncommutative geometry associated to matrices of N quantum dots in the matrix models. The earlier work established a surface embedded in flat R^3 from three Hermitian matrices. We construct coherent states corresponding to points in the emergent geometry and find the original matrices determine not only shape of the emergent surface, but also a unique Poisson structure. We prove that commutators of matrix operators correspond to Poisson brackets. Through our construction, we can realize arbitrary noncommutative membranes embedded in R^3.
Event Location:
CEME 1210