Abstract
In this paper we study segmented strings in AdS3 coupled to a background two-form whose field strength is proportional to the volume form. By changing the coupling, the theory interpolates between the Nambu-Goto string and the SL(2, ℝ) Wess-Zumino-Witten model. In terms of the kink momentum vectors, the action is independent of the coupling and the classical theory reduces to a single discrete-time Toda-type theory. The WZW model is a singular point in coupling space where the map into Toda variables degenerates.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W.A. Bardeen, I. Bars, A.J. Hanson and R.D. Peccei, A study of the longitudinal kink modes of the string, Phys. Rev. D 13 (1976) 2364 [INSPIRE].
X. Artru, Classical string phenomenology. 1. How strings work, Phys. Rept. 97 (1983) 147 [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Solving the simplest theory of quantum gravity, JHEP 09 (2012) 133 [arXiv:1205.6805] [INSPIRE].
D. Vegh, The broken string in anti-de Sitter space, JHEP 02 (2018) 045 [arXiv:1508.06637] [INSPIRE].
N. Callebaut, S.S. Gubser, A. Samberg and C. Toldo, Segmented strings in AdS 3, JHEP 11 (2015) 110 [arXiv:1508.07311] [INSPIRE].
D. Vegh, Colliding waves on a string in AdS 3, arXiv:1509.05033 [INSPIRE].
S.S. Gubser, Evolution of segmented strings, Phys. Rev. D 94 (2016) 106007 [arXiv:1601.08209] [INSPIRE].
S.S. Gubser, S. Parikh and P. Witaszczyk, Segmented strings and the McMillan map, JHEP 07 (2016) 122 [arXiv:1602.00679] [INSPIRE].
A. Ficnar and S.S. Gubser, Finite momentum at string endpoints, Phys. Rev. D 89 (2014) 026002 [arXiv:1306.6648] [INSPIRE].
D. Vegh, Segmented strings from a different angle, arXiv:1601.07571 [INSPIRE].
J.M. Maldacena and H. Ooguri, Strings in AdS 3 and SL(2, R) WZW model 1: the spectrum, J. Math. Phys. 42 (2001) 2929 [hep-th/0001053] [INSPIRE].
A. Cagnazzo and K. Zarembo, B-field in AdS 3 /CFT 2 correspondence and integrability, JHEP 11 (2012) 133 [Erratum ibid. 04 (2013) 003] [arXiv:1209.4049] [INSPIRE].
B. Hoare and A.A. Tseytlin, On string theory on AdS 3 × S 3 × T 4 with mixed 3-form flux: tree-level S-matrix, Nucl. Phys. B 873 (2013) 682 [arXiv:1303.1037] [INSPIRE].
A. Babichenko, A. Dekel and O. Ohlsson Sax, Finite-gap equations for strings on AdS 3 × S 3 × T 4 with mixed 3-form flux, JHEP 11 (2014) 122 [arXiv:1405.6087] [INSPIRE].
T. Lloyd, O. Ohlsson Sax, A. Sfondrini and B. Stefanski Jr., The complete worldsheet S matrix of superstrings on AdS 3 × S 3 × T 4 with mixed three-form flux, Nucl. Phys. B 891 (2015) 570 [arXiv:1410.0866] [INSPIRE].
R. Borsato, O. Ohlsson Sax, A. Sfondrini and B. Stefanski Jr., The AdS 3 × S 3 × S 3 × S 1 worldsheet S matrix, J. Phys. A 48 (2015) 415401 [arXiv:1506.00218] [INSPIRE].
Y.B. Suris, The problem of integrable discretization: Hamiltonian approach, Birkhäuser Verlag, Basel Switzerland, (2003).
A. Mikhailov, Nonlinear waves in AdS/CFT correspondence, hep-th/0305196 [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: 1603.04504
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Vegh, D. Segmented strings coupled to a B-field. J. High Energ. Phys. 2018, 88 (2018). https://doi.org/10.1007/JHEP04(2018)088
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2018)088