期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 50, 期 37, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aa8295
关键词
fuzzy sphere; matrix models; higher spin; fuzzy extra dimensions
资金
- Austrian Science Fund (FWF) [P28590]
- European Cooperation in Science and Technology (COST) [MP1405 QSPACE]
- Austrian Science Fund (FWF) [P28590] Funding Source: Austrian Science Fund (FWF)
We study in detail generalized 4-dimensional fuzzy spheres with twisted extra dimensions. These spheres can be viewed as SO(5)-equivariant projections of quantized coadjoint orbits of SO(6). We show that they arise as solutions in Yang-Mills matrix models, which naturally leads to higher-spin gauge theories on S-4. Several types of embeddings in matrix models are found, including one with self-intersecting fuzzy extra dimensions S-4 x K, which is expected to entail 2 + 1 generations.
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