Abstract
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 S4. Several types of embeddings in matrix models are found, including one with self-intersecting fuzzy extra dimensions S 4 ×K, which is expected to entail 2 + 1 generations.
| Original language | English |
|---|---|
| Article number | 375202 |
| Number of pages | 45 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 50 |
| Issue number | 37 |
| DOIs | |
| Publication status | Published - 15 Sept 2017 |
Funding
Useful discussions with J Barrett, M Buric, S Fredenhagen, H Kawai, K Krasnov, K Mkrtchyan, J Nishimura, P Presnajder, S Ramgoolam, and G Zoupanos are gratefully acknowledged. This work was supported by the Austrian Science Fund (FWF) grant P28590, and by the Action MP1405 QSPACE from the European Cooperation in Science and Technology (COST).
Austrian Fields of Science 2012
- 103019 Mathematical physics
Keywords
- fuzzy sphere
- matrix models
- higher spin
- fuzzy extra dimensions
- NONCOMMUTATIVE FIELD-THEORY
- GAUGE-THEORY
- DIMENSIONS
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Dive into the research topics of 'Covariant 4-dimensional fuzzy spheres, matrix models and higher spin'. Together they form a unique fingerprint.Projects
- 1 Finished
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Squashed extra dimensions in gauge theory and matrix models
Steinacker, H. (Project Lead)
12/10/15 → 11/09/18
Project: Research funding
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