Classically integrable boundary conditions for symmetric-space sigma models
Mackay, N. and Young, Charles A. S.
(2004)
Classically integrable boundary conditions for symmetric-space sigma models.
Physical Letters B, 588 (3-4).
pp. 221-227.
We investigate boundary conditions for the nonlinear sigma model on the compact symmetric space $G/H$, where $H \subset G$ is the subgroup fixed by an involution $\sigma$ of $G$. The Poisson brackets and the classical local conserved charges necessary for integrability are preserved by boundary conditions in correspondence with involutions which commute with $\sigma$. Applied to $SO(3)/SO(2)$, the nonlinear sigma model on $S^2$, these yield the great circles as boundary submanifolds. Applied to $G \times G/G$, they reproduce known results for the principal chiral model
Item Type | Article |
---|---|
Keywords | hep-th |
Date Deposited | 15 May 2025 12:25 |
Last Modified | 30 May 2025 23:50 |
-
picture_as_pdf - 777395.pdf
-
subject - Submitted Version
Share this file
Downloads