Disformal transformation in Newton–Cartan geometry

作者: Peng Huang , Fang-Fang Yuan

DOI: 10.1140/EPJC/S10052-016-4282-7

关键词: AnisotropyIntegrable systemConformal mapHolographyStructure (category theory)Transformation (function)PhysicsGeometry

摘要: Newton–Cartan geometry has played a central role in recent discussions of the non-relativistic holography and condensed matter systems. Although conformal transformation can easily be rephrased terms geometry, we show that it requires nontrivial procedure to arrive at consistent form anisotropic disformal this geometry. Furthermore, as an application newly obtained transformation, use induce geometric structure which may seen particular version Weyl integrable

参考文章(60)
Rabin Banerjee, Pradip Mukherjee, Dynamical construction of Horava-Lifshitz geometry arXiv: High Energy Physics - Theory. ,(2015)
Milutin Blagojević, Gravitation And Gauge Symmetries ,(2019)
Eric A Bergshoeff, Jelle Hartong, Jan Rosseel, Torsional Newton–Cartan geometry and the Schrödinger algebra Classical and Quantum Gravity. ,vol. 32, pp. 135017- ,(2015) , 10.1088/0264-9381/32/13/135017
Elie Cartan, Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie) Annales scientifiques de l'École normale supérieure. ,vol. 40, pp. 325- 412 ,(1923) , 10.24033/ASENS.751
Philippe Brax, Clare Burrage, Christoph Englert, Disformal dark energy at colliders Physical Review D. ,vol. 92, pp. 044036- ,(2015) , 10.1103/PHYSREVD.92.044036
Thomas Zojer, Jan Rosseel, Eric Bergshoeff, Newton-Cartan (super)gravity as a non-relativistic limit arXiv: High Energy Physics - Theory. ,(2015) , 10.1088/0264-9381/32/20/205003
Dario Bettoni, Stefano Liberati, Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action Physical Review D. ,vol. 88, pp. 084020- ,(2013) , 10.1103/PHYSREVD.88.084020
Jelle Hartong, Niels A. Obers, Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry Journal of High Energy Physics. ,vol. 2015, pp. 155- ,(2015) , 10.1007/JHEP07(2015)155
Dam Thanh Son, Newton-Cartan Geometry and the Quantum Hall Effect arXiv: Mesoscale and Nanoscale Physics. ,(2013)