Integrability of D1-brane on Group Manifold
arXiv:1407.7665 · doi:10.1007/JHEP09(2014)159
Abstract
This paper is devoted to the analysis of the integrability of D1-brane on group manifold. We consider D1-brane as principal chiral model, determine corresponding equations of motions and find Lax connection. Then we calculate the Poisson brackets of Lax connection and we find that it has similar structure as in case of principal chiral model. As the second example we consider more general background with non-zero NS-NS two form. We again show that D1-brane theory is integrable on this background and determine Poisson brackets of Lax connection.
arXiv comment13 pages
References in corpus (8)
- Dielectric-Branes
- Hidden Symmetries of the AdS_5 x S^5 Superstring
- Foundations of the AdS_5 x S^5 Superstring. Part I
- A Symplectic Structure for String Theory on Integrable Backgrounds
- Integrability of the AdS_5 x S^5 superstring and its deformations
- Alleviating the non-ultralocality of coset sigma models through a generalized Faddeev-Reshetikhin procedure
- Alleviating the non-ultralocality of the AdS_5 x S^5 superstring
- On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities