Hamiltonian for a string in a Newton-Cartan background

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Authors	KLUSOŇ Josef
Year of publication	2018
Type	Article in Periodical
Magazine / Source	Physical review D
MU Faculty or unit	Faculty of Science
Citation
Web	http://dx.doi.org/10.1103/PhysRevD.98.086010
Doi	http://dx.doi.org/10.1103/PhysRevD.98.086010
Keywords	Hamiltonian formalism; string theory; Newton-Cartan gravity
Description	This paper is devoted to the construction of the Hamiltonian for nonrelativistic string in the Newton-Cartan background. We start with the Hamiltonian for relativistic string in general background. Then we perform a limiting procedure on the metric that leads to Newton-Cartan background. We determine the constraint structure for nonrelativistic string and show that these constraints are the first class constraints. Then we determine the corresponding Lagrangian and discuss its properties.
Related projects:	Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku