Abstract
This paper is devoted to the analysis of (m, n)-string in stringy Newton-Cartan background. We start with the Hamiltonian constraint for (m, n)-string in general background and perform limiting procedure on metric and NSNS and Ramond-Ramond two form background that leads to stringy Newton-Cartan gravity. We also analyze conditions that these background fields have to obey in order to define consistent world-sheet (m, n)−theory. We also discuss D1-brane with dynamical electric field in stringy Newton-Cartan gravity.
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References
E. Cartan, Sur les variétés à connexion affine et la théorie de la relativité généralisée. (première partie), Annales Sci. Ecole Norm. Sup. 40 (1923) 325 [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].
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, JHEP 10 (2000) 020 [hep-th/0009182] [INSPIRE].
E. Bergshoeff, J. Gomis and Z. Yan, Nonrelativistic String Theory and T-duality, JHEP 11 (2018) 133 [arXiv:1806.06071] [INSPIRE].
T. Harmark, J. Hartong, L. Menculini, N.A. Obers and Z. Yan, Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence, JHEP 11 (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. Klusoň, Remark About Non-Relativistic String in Newton-Cartan Background and Null Reduction, JHEP 05 (2018) 041 [arXiv:1803.07336] [INSPIRE].
J. Klusoň, Note About T-duality of Non-Relativistic String, arXiv:1811.12658 [INSPIRE].
J. Klusoň, Nonrelativistic String Theory σ-model and Its Canonical Formulation, Eur. Phys. J. C 79 (2019) 108 [arXiv:1809.10411] [INSPIRE].
J. Polchinski, Dirichlet Branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017] [INSPIRE].
M. Cederwall and P.K. Townsend, The Manifestly SL(2, ℤ) covariant superstring, JHEP 09 (1997) 003 [hep-th/9709002] [INSPIRE].
P.K. Townsend, Membrane tension and manifest IIB S duality, Phys. Lett. B 409 (1997) 131 [hep-th/9705160] [INSPIRE].
E. Bergshoeff, J. Rosseel and T. Zojer, Newton-Cartan (super)gravity as a non-relativistic limit, Class. Quant. Grav. 32 (2015) 205003 [arXiv:1505.02095] [INSPIRE].
J. Klusoň, Hamiltonian for a string in a Newton-Cartan background, Phys. Rev. D 98 (2018) 086010 [arXiv:1801.10376] [INSPIRE].
E. Bergshoeff, A. Chatzistavrakidis, L. Romano and J. Rosseel, Newton-Cartan Gravity and Torsion, JHEP 10 (2017) 194 [arXiv:1708.05414] [INSPIRE].
D. Van den Bleeken, Torsional Newton-Cartan gravity from the large c expansion of general relativity, Class. Quant. Grav. 34 (2017) 185004 [arXiv:1703.03459] [INSPIRE].
J. Klusoň, Note about Hamiltonian formalism for Newton-Cartan string and p-brane, Eur. Phys. J. C 78 (2018) 511 [arXiv:1712.07430] [INSPIRE].
A. Barducci, R. Casalbuoni and J. Gomis, Non-relativistic Spinning Particle in a Newton-Cartan Background, JHEP 01 (2018) 002 [arXiv:1710.10970] [INSPIRE].
J. Klusoň, Canonical Analysis of Non-Relativistic Particle and Superparticle, Eur. Phys. J. C 78 (2018) 117 [arXiv:1709.09405] [INSPIRE].
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ArXiv ePrint: 1901.11292
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Klusoň, J. (m, n)-string and D1-brane in stringy Newton-Cartan background. J. High Energ. Phys. 2019, 163 (2019). https://doi.org/10.1007/JHEP04(2019)163
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DOI: https://doi.org/10.1007/JHEP04(2019)163