# Scalar Multi-Solitons on the Fuzzy Sphere

@article{Vaidya2001ScalarMO, title={Scalar Multi-Solitons on the Fuzzy Sphere}, author={Sachindeo Vaidya}, journal={Journal of High Energy Physics}, year={2001}, volume={2002}, pages={011-011} }

We study solitons in scalar theories with polynomial interactions on the fuzzy sphere. Such solitons are described by projection operators of rank k, and hence the moduli space for the solitons is the grassmannian Gr(k,2j+1). The gradient term of the action provides a non-trivial potential on Gr(k,2j+1), thus reducing the moduli space. We construct configurations corresponding to well-separated solitons, and show that although the solitons attract each other, the attraction vanishes in the…

## 21 Citations

### Scalar Solitons on the Fuzzy Sphere

- Physics
- 2002

We study scalar solitons on the fuzzy sphere at arbitrary radius and noncom- mutativity. We prove that no solitons exist if the radius is below a certain value. Solitons do exist for radii above a…

### SOLITONS FOR THE FUZZY SPHERE FROM THE MATRIX MODEL

- Physics
- 2002

Recently we have introduced a matrix model depending on two coupling constants g2 and λ, which contains the fuzzy sphere as a background; to obtain the classical limit g2 must depend on N in a…

### A matrix phase for the ϕ4 scalar field on the fuzzy sphere

- Computer Science
- 2004

This work finds and discusses in detail a new phase called a matrix phase because the geometry of the fuzzy sphere, as expressed by the kinetic term, becomes negligible there and highlights a new aspect of UV-IR mixing.

### 2010 ‘Schwinger Model’ on the Fuzzy Sphere

- Physics
- 2013

A model of spinor and gauge interacting with speciﬁc gauge ﬁelds on the fuzzy sphere is constructed and the chiral symmetry of this ‘Schwinger model’ is analyzed to derive the path integral method to calculate the 2 n − point functions of this model.

### Ju l 2 00 9 ‘ Schwinger Model ’ on Fuzzy Sphere

- Physics, Computer Science
- 2009

A model of spinor fields interacting with specific gauge fields on fuzzy sphere is constructed and the chiral symmetry of this ‘Schwinger model’ is analyzed and it is shown how to express the field strength for this gauge field in terms of the Dirac operators Dq and D alone.

### "SCHWINGER MODEL" ON THE FUZZY SPHERE

- Physics, Computer Science
- 2009

This paper constructs a model of spinor fields interacting with specific gauge fields on the fuzzy sphere and analyzes the chiral symmetry of this "Schwinger model", and calculates the 2n-point functions of this model and shows that they do not vanish, reflecting theChiral non-invariance of the partition function.

### Quantum entropy for the fuzzy sphere and its monopoles

- Physics
- 2014

A bstractUsing generalized bosons, we construct the fuzzy sphere SF2 and monopoles on SF2 in a reducible representation of SU(2). The corresponding quantum states are naturally obtained using the…

### Monopoles on S 2 F from the fuzzy conifold

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- 2013

: The intersection of the conifold z 21 + z 22 + z 23 = 0 and S 5 is a compact 3-dimensional manifold X 3 . We review the description of X 3 as a principal U(1) bundle over S 2 and construct the…

### A Non-perturbative approach to non-commutative scalar field theory

- Mathematics, Physics
- 2005

Non-commutative euclidean scalar field theory is shown to have an eigenvalue sector which is dominated by a well-defined eigenvalue density, and can be described by a matrix model. This is…

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