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Showing 1 to 4 of 4 for “"Fuzzy Sphere"”.
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Numerical studies of the critical behaviour of non-commutative field theories
… regularization of the φ4 theory defined on the sphere. We develop a HMC algorithm together with an SU(2) gauge-fixing procedure in order to study the model. We extract the phase diagram of the model and give an estimation for the triple point for a system constructed of matrices of size N = 7. …
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Some aspects of the mass deformed ABJM theory
… encouraged by the recent construction of fuzzy sphere solutions in the ABJM theory, we re-analyze the latter from the perspective of a Matrix-like model. In particular, we argue that a vortex solution exhibits properties of a supergraviton, while a kink represents a 2-brane. Other …
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Physics on Noncommutative Spacetimes
… include compact noncommutative spaces called fuzzy spaces and noncompact spacetimes. The compact examples we look at are the fuzzy sphere and the fuzzy Higg's manifold. The noncompact spacetimes we study are the Groenewold-Moyal plane and the B<sub>xn</sub> plane.</p> <p>A broad range of …
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Emergent Phenomena in Matrix Models
… extends the possible solutions to the model by fuzzy spaces. We carry out a 1-loop calculation for a general SU(d) symmetric solution to this class of models. We will then turn to a numerical study of a model that incorporates the simplest case of a fuzzy manifold, the fuzzy sphere. We will …