Abstract
In this note we perform canonical analysis of T-duality for non-relativistic string in stringy Newton-Cartan background. We confirm recent result that T-duality along longitudinal spatial direction of stringy Newton-Cartan geometry maps non-relativistic string to the relativistic string that propagates on the background with light-like isometry.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Bergshoeff, J. Gomis and Z. Yan, Nonrelativistic string theory and T-duality, JHEP11 (2018) 133 [arXiv:1806.06071] [INSPIRE].
T. Harmark et al., Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence, JHEP11 (2018) 190 [arXiv:1810.05560] [INSPIRE].
T. Harmark, J. Hartong and N.A. Obers, Nonrelativistic strings and limits of the AdS/CFT correspondence, Phys. Rev.D 96 (2017) 086019 [arXiv:1705.03535] [INSPIRE].
J. Gomis and H. Ooguri, Nonrelativistic closed string theory, J. Math. Phys.42 (2001) 3127 [hep-th/0009181] [INSPIRE].
U.H. Danielsson, A. Guijosa and M. Kruczenski, IIA/B, wound and wrapped, JHEP10 (2000) 020 [hep-th/0009182] [INSPIRE].
T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: a conjecture, Phys. Rev.D 55 (1997) 5112 [hep-th/9610043] [INSPIRE].
L. Susskind, Another conjecture about M(atrix) theory, hep-th/9704080 [INSPIRE].
N. Seiberg, Why is the matrix model correct?, Phys. Rev. Lett.79 (1997) 3577 [hep-th/9710009] [INSPIRE].
A. Sen, D0-branes on T nand matrix theory, Adv. Theor. Math. Phys.2 (1998) 51 [hep-th/9709220] [INSPIRE].
S. Hellerman and J. Polchinski, Compactification in the lightlike limit, Phys. Rev.D 59 (1999) 125002 [hep-th/9711037] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, A canonical approach to duality transformations, Phys. Lett. B336 (1994) 183 [hep-th/9406206] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, An introduction to T duality in string theory, Nucl. Phys. Proc. Suppl.41 (1995) 1 [hep-th/9410237] [INSPIRE].
J. Klusoň, Nonrelativistic string theory σ-model and its canonical formulation, Eur. Phys. J.C 79 (2019) 108 [arXiv:1809.10411] [INSPIRE].
J. Klusoň, Hamiltonian for a string in a Newton-Cartan background, Phys. Rev.D 98 (2018) 086010 [arXiv:1801.10376] [INSPIRE].
T.H. Buscher, A symmetry of the string background field equations, Phys. Lett.B 194 (1987) 59 [INSPIRE].
T.H. Buscher, Path integral derivation of quantum duality in nonlinear σ-models, Phys. Lett.B 201 (1988) 466 [INSPIRE].
R. Andringa, E. Bergshoeff, J. Gomis and M. de Roo, ‘Stringy’ Newton-Cartan gravity, Class. Quant. Grav.29 (2012) 235020 [arXiv:1206.5176] [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: 1811.12658
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
Klusoň, J. Note about T-duality of non-relativistic string. J. High Energ. Phys. 2019, 74 (2019). https://doi.org/10.1007/JHEP08(2019)074
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2019)074