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Covariant 4-dimensional fuzzy spheres, matrix models and higher spin

Autor(en)
Marcus Sperling, Harold C. Steinacker
Abstrakt

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.

Organisation(en)
Mathematische Physik
Journal
Journal of Physics A: Mathematical and Theoretical
Band
50
Anzahl der Seiten
45
ISSN
1751-8113
DOI
https://doi.org/10.1088/1751-8121/aa8295
Publikationsdatum
09-2017
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Allgemeine Physik und Astronomie, Statistical and Nonlinear Physics, Statistics and Probability, Mathematical Physics, Modelling and Simulation
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/c24cc728-e8ec-43a0-86b5-7bd9dadd141e