# 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} }

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

### Dynamical tachyons on fuzzy spheres

- 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.

### MAD-TH-1007 Dynamical tachyons on fuzzy spheres

- 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.

### Probing the fuzzy sphere regularisation in simulations of the 3d λϕ4 model

- 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.…

### Intersecting branes , Higgs sector , and chirality from N = 4 SYM with soft SUSY breaking

- Physics
- 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…

### Lectures on holographic methods for condensed matter physics

- Physics
- 2009

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…

### Intersecting branes, Higgs sector, and chirality from N$$ \mathcal{N} $$ = 4 SYM with soft SUSY breaking

- 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…

## References

SHOWING 1-10 OF 85 REFERENCES

### Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

- Physics
- 2005

We study a 4d supersymmetric matrix model with a cubic term, which incorporates fuzzy spheres as classical solutions, using Monte Carlo simulations and perturbative calculations. The fuzzy sphere in…

### Perturbative dynamics of fuzzy spheres at large N

- Physics
- 2005

We clarify some peculiar aspects of the perturbative expansion around a classical fuzzy-sphere solution in matrix models with a cubic term. While the effective action in the large-N limit is…

### Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term

- Physics
- 2004

Fuzzy spheres appear as classical solutions in a matrix model obtained via dimensional reduction of 3-dimensional Yang-Mills theory with the Chern-Simons term. Well-defined perturbative expansion…

### Exact fuzzy sphere thermodynamics in matrix quantum mechanics

- Physics
- 2007

We study thermodynamical properties of a fuzzy sphere in matrix quantum mechanics of the BFSS type including the Chern-Simons term. Various quantities are calculated to all orders in perturbation…

### Dynamical generation of a nontrivial index on the fuzzy 2-sphere

- Computer Science
- 2005

This paper shows that the TP monopole configuration is stabler than the U(2) gauge theory without any condensation in the Yang-Mills-Chern-Simons matrix model, and presents a mechanism for dynamical generation of a nontrivial index.

### Noncommutative gauge theory on fuzzy sphere from matrix model

- Computer Science
- 2001

### STABILITY OF THE FUZZY SPHERE SOLUTION FROM MATRIX MODEL

- Computer Science
- 2003

This work looks for new classical solutions of this matrix model depending on the parameter λ that make the fuzzy sphere solution unstable for and stable otherwise for λ < 1, and recovers a U(1) (U(n)) noncommutative gauge theory on the fuzzy spheres.

### Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere

- Physics
- 2006

We review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism,…

### Monte Carlo simulation of a NC gauge theory on the fuzzy sphere

- Physics
- 2006

We find using Monte Carlo simulation the phase structure of noncommutative U(1) gauge theory in two dimensions with the fuzzy sphere S2N as a non-perturbative regulator. There are three phases of the…