Abstract
We construct new type of non-relativistic D-branes which are defined with the help of T-duality along null direction. We find Lagrangian and Hamiltonian formulation of these D-branes and study their properties under T-duality transformations.
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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].
E. Bergshoeff, A. Chatzistavrakidis, L. Romano and J. Rosseel, Newton-Cartan Gravity and Torsion, JHEP10 (2017) 194 [arXiv:1708.05414] [INSPIRE].
E.A. Bergshoeff, J. Hartong and J. Rosseel, Torsional Newton-Cartan geometry and the Schrödinger algebra, Class. Quant. Grav.32 (2015) 135017 [arXiv:1409.5555] [INSPIRE].
M.H. Christensen, J. Hartong, N.A. Obers and B. Rollier, Torsional Newton-Cartan Geometry and Lifshitz Holography, Phys. Rev.D 89 (2014) 061901 [arXiv:1311.4794] [INSPIRE].
M.H. Christensen, J. Hartong, N.A. Obers and B. Rollier, Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography, JHEP01 (2014) 057 [arXiv:1311.6471] [INSPIRE].
J. Hartong, E. Kiritsis and N.A. Obers, Schrödinger Invariance from Lifshitz Isometries in Holography and Field Theory, Phys. Rev.D 92 (2015) 066003 [arXiv:1409.1522] [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].
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, JHEP05 (2018) 041 [arXiv:1803.07336] [INSPIRE].
J. Klusoň, Hamiltonian for a string in a Newton-Cartan background, Phys. Rev.D 98 (2018) 086010 [arXiv:1801.10376] [INSPIRE].
E. Bergshoeff, J. Gomis and Z. Yan, Nonrelativistic String Theory and T-duality, JHEP11 (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, JHEP11 (2018) 190 [arXiv:1810.05560] [INSPIRE].
J. Gomis, J. Oh and Z. Yan, Nonrelativistic String Theory in Background Fields, arXiv:1905.07315 [INSPIRE].
A.D. Gallegos, U. Gürsoy and N. Zinnato, Torsional Newton Cartan gravity from non-relativistic strings, arXiv:1906.01607 [INSPIRE].
T. Harmark, J. Hartong, L. Menculini, N.A. Obers and G. Oling, Relating non-relativistic string theories, arXiv:1907.01663 [INSPIRE].
K.T. Grosvenor, J. Hartong, C. Keeler and N.A. Obers, Homogeneous Nonrelativistic Geometries as Coset Spaces, Class. Quant. Grav.35 (2018) 175007 [arXiv:1712.03980] [INSPIRE].
J. Klusoň and P. Novosad, Non-Relativistic M2-Brane, JHEP06 (2019) 072 [arXiv:1903.12450] [INSPIRE].
J. Klusoň, (m, n)-String and D1-Brane in Stringy Newton-Cartan Background, JHEP04 (2019) 163 [arXiv:1901.11292] [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].
J. Polchinski, Dirichlet Branes and Ramond-Ramond charges, Phys. Rev. Lett.75 (1995) 4724 [hep-th/9510017] [INSPIRE].
J. Simon, Brane Effective Actions, κ-symmetry and Applications, Living Rev. Rel.15 (2012) 3 [arXiv:1110.2422] [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].
S. Mukhi, M. Rangamani and E.P. Verlinde, Strings from quivers, membranes from moose, JHEP05 (2002) 023 [hep-th/0204147] [INSPIRE].
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ArXiv ePrint: 1907.05662
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Klusoň, J. Non-relativistic D-brane from T-duality along null direction. J. High Energ. Phys. 2019, 153 (2019). https://doi.org/10.1007/JHEP10(2019)153
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DOI: https://doi.org/10.1007/JHEP10(2019)153