CP^n Model on Fuzzy Sphere
arXiv:hep-th/0105087 · doi:10.1016/S0550-3213(02)00028-7
Abstract
We construct the CP^n model on fuzzy sphere. The Bogomolny bound is saturated by (anti-)self-dual solitons and the general solutions of BPS equation are constructed. The dimension of moduli space describing the BPS solution on fuzzy sphere is exactly the same as that of the commutative sphere or the (noncommutative) plane. We show that in the soliton backgrounds, the number of zero modes of Dirac operator on fuzzy sphere, Atiyah-Singer index, is exactly given by the topological charge of the background solitons.
v3: 23 pages, Latex. Final version to appear in Nucl. Phys. B
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Cited by in corpus (9)
- Coherent State Induced Star-Product on and the Fuzzy Sphere
- Non-commutative geometry of 4-dimensional quantum Hall droplet
- Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
- Noncommutative solitons on Kahler manifolds
- O(3) Sigma model with Hopf term on Fuzzy Sphere
- Scalar Solitons on the Fuzzy Sphere
- Quantized Kähler Geometry and Quantum Gravity
- 'Schwinger Model' on the Fuzzy Sphere
- Fuzzy sphere bimodule, ABS construction to the exact soliton solutions