On fuzzy spheres and (M)atrix actions
Horatiu Nastase
TL;DR
This paper compares different fuzzy sphere constructions, explores their dimensional reductions, and discusses potential matrix actions and solutions, including the fuzzy 5-sphere in the context of the pp wave matrix model.
Contribution
It provides a comparative analysis of fuzzy sphere models and explores their role as solutions in matrix actions, including speculative insights on the fuzzy 5-sphere.
Findings
Comparison of even and odd fuzzy sphere constructions
Analysis of dimensional reductions and matrix solutions
Speculation on fuzzy 5-sphere in pp wave matrix model
Abstract
In this note we compare even and odd fuzzy sphere constructions, their dimensional reductions and possible (M)atrix actions having them as solutions. We speculate on how the fuzzy 5-sphere might appear as a solution to the pp wave (M)atrix model.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Geometric Analysis and Curvature Flows