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String in Horava-Lifshitz gravity

Kluson, J
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Abstract

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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSCOMPOSITE MODELSEXTENDED PARTICLE MODELFUNCTIONSGRAVITATIONHAMILTONIANSINVARIANCE PRINCIPLESLAGRANGIAN FUNCTIONLORENTZ INVARIANCEMATHEMATICAL MODELSMATHEMATICAL OPERATORSPARTICLE MODELSPARTICLESQUANTUM OPERATORSQUARK MODELSPACE-TIMESTRING MODELS

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Kluson, J. 2010-10-15. String in Horava-Lifshitz gravity. https://doi.org/10.1103/physrevd.82.086007

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