Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds.

Lambert, D.; Piette, B.

doi:10.1088/0264-9381/5/2/010

All Outputs (9)

Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term. Zeitschrift für Physik. C, Particles and fields, C( 44),

General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990594-9

Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds (1988)
Journal Article
Antoine, J., & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. Journal of Mathematical Physics, 29(7), 1687-1697. https://doi.org/10.1063/1.527917

Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990595-0

Explicit Solutions of Grassmannian $\sigma$ Models (1988)
Journal Article
Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics, 29, 2190-2196. https://doi.org/10.1063/1.528147

Some Solutions of the U(N) Sigma Models (1988)
Presentation / Conference Contribution
Piette, B. (1988, December). Some Solutions of the U(N) Sigma Models. Presented at Proc. 16th international Colloquium on Group Theoretical Methods in Physics, Varna

On stability of solutions of theU(N) chiral model in two dimensions. (1988)
Journal Article
Piette, B., Stokoe, I., & Zakrzewski, W. (1988). On stability of solutions of theU(N) chiral model in two dimensions. Zeitschrift für Physik. C, Particles and fields, 37(3), 449-455. https://doi.org/10.1007/bf01578140

Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term. Zeitschrift für Physik. C, Particles and fields, 39(3), 359-364. https://doi.org/10.1007/bf01548285

Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. (1988)
Journal Article
Lambert, D., & Piette, B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Classical and Quantum Gravity, 5(2), 307-319. https://doi.org/10.1088/0264-9381/5/2/010

The authors define two-dimensional Minkowskian sigma models valued in hyperbolic complex Grassmann manifolds. They construct a different kind of solution using hyperbolic analytic functions. They exhibit graphs of a few explicit solutions.