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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
I. Bena, J. Polchinski and R. Roiban, Hidden symmetries of the AdS 5 × S 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [INSPIRE].
A. Sfondrini, Towards integrability for AdS 3 /CFT 2, arXiv:1406.2971 [INSPIRE].
V.G.M. Puletti, On string integrability: a journey through the two-dimensional hidden symmetries in the AdS/CFT dualities, Adv. High Energy Phys. 2010 (2010) 471238 [arXiv:1006.3494] [INSPIRE].
S.J. van Tongeren, Integrability of the AdS 5 × S 5 superstring and its deformations, arXiv:1310.4854 [INSPIRE].
G. Arutyunov and S. Frolov, Foundations of the AdS 5 × S 5 superstring. Part I, J. Phys. A 42 (2009) 254003 [arXiv:0901.4937] [INSPIRE].
N. Dorey and B. Vicedo, A symplectic structure for string theory on integrable backgrounds, JHEP 03 (2007) 045 [hep-th/0606287] [INSPIRE].
J.M. Maillet, New integrable canonical structures in two-dimensional models, Nucl. Phys. B 269 (1986) 54 [INSPIRE].
J.M. Maillet, Hamiltonian structures for integrable classical theories from graded Kac-Moody algebras, Phys. Lett. B 167 (1986) 401 [INSPIRE].
F. Delduc, M. Magro and B. Vicedo, Alleviating the non-ultralocality of coset σ-models through a generalized Faddeev-Reshetikhin procedure, JHEP 08 (2012) 019 [arXiv:1204.0766] [INSPIRE].
F. Delduc, M. Magro and B. Vicedo, Alleviating the non-ultralocality of the AdS 5 × S 5 superstring, JHEP 10 (2012) 061 [arXiv:1206.6050] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1407.7665
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Klusoň, J. Integrability of D1-brane on group manifold. J. High Energ. Phys. 2014, 159 (2014). https://doi.org/10.1007/JHEP09(2014)159
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2014)159