String in Horava-Lifshitz Gravity

Details String in Horava-Lifshitz Gravity String in Horava-Lifshitz Gravity

2010-02-15

arxiv.org/abs/1002.2849v3

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, references added

Scientific paper

We generalize recent analysis of the dynamics of point particle in Horava-Lifshitz background to the case of string probe when we replace the Hamiltonian constraint of the Polyakov string with the constraint that breaks Lorentz invariance of target space-time. Then we find corresponding Lagrangian and argue that the world-sheet theory is invariant under foliation preserving diffeomorphism. Finally we discuss the Hamiltonian dynamics and show that this is well defined on condition that the world-sheet lapse function obeys the projectability condition.

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