# The instability of intersecting fuzzy spheres

@article{Azuma2007TheIO,
title={The instability of intersecting fuzzy spheres},
author={Takehiro Azuma and Subrata Bal and Jun Nishimura},
journal={Journal of High Energy Physics},
year={2007},
volume={2008},
pages={035-035}
}
• Published 5 December 2007
• Physics
• Journal of High Energy Physics
We discuss the classical and quantum stability of general configurations representing many fuzzy spheres in dimensionally reduced Yang-Mills-Chern-Simons models with and without supersymmetry. By performing one-loop perturbative calculations around such configurations, we find that intersecting fuzzy spheres are classically unstable in the class of models studied in this paper. We also discuss the large-N limit of the one-loop effective action as a function of the distance of fuzzy spheres…
6 Citations
• Computer Science, Physics
• 2011
The spectrum of off-diagonal fluctuations between displaced fuzzy spheres in the BMN plane wave matrix model is studied and it is found that when two fuzzy spheres intersect at angles classical tachyons develop and the spectrum of these modes can be computed analytically.
• Physics, Computer Science
• 2014
The spectrum of off-diagonal fluctuations between displaced fuzzy spheres in the BMN plane wave matrix model is studied and it is found that when two fuzzy spheres intersect at angles classical tachyons develop and that the spectrum of these modes can be computed analytically.
• Physics
• 2008
We regularise the 3d λ4 model by discretising the Euclidean time and representing the spatial part on a fuzzy sphere. The latter involves a truncated expansion of the field in spherical harmonics.
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• 2018
We consider SU(N) N = 4 super Yang-Mills with cubic and quadratic soft SUSY breaking potential, such that the global SU(4)R is broken to SU(3) or further. As shown recently, this set-up supports a
These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009, and at the IPM String School in Tehran, April 2009. I have
• Physics
• 2018
A bstractWe consider SU(N ) N$$\mathcal{N}$$ = 4 super Yang-Mills with cubic and quadratic soft SUSY breaking potential, such that the global SU(4)R is broken to SU(3) or further. As shown

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