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.
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