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2018

Hamiltonian For String in Newton-Cartan Background

Kluson, J.

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This paper is devoted to the construction of the Hamiltonian for non-relativistic string in the Newton-Cartan background.

We start with the Hamiltonian for relativistic string in general background.
Then we perform limiting procedure on the metric that leads to Newton-Cartan background.
We determine constraint structure for non-relativistic string and show that these constraints are the first class constraints.

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Then

K. Jensen and A. Karch, “Revisiting non-relativistic limits,” JHEP 1504
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H. R. Afshar, E. A. Bergshoeff, A. Mehra, P. Parekh and B. Rollier, “A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravities,” JHEP 1604
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Original

2015

Cited alongside, same era.

E. A. Bergshoeff, J. Hartong and J. Rosseel, “Torsional Newton–Cartan geometry and the Schrödinger algebra,” Class. Quant. Grav. 32

2015

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J. Hartong and N. A. Obers, “Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry,” JHEP 1507

2015

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K. Jensen, “Aspects of hot Galilean field theory,” JHEP 1504

Original

2015

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S. A. Hartnoll, A. Lucas and S. Sachdev, “Holographic quantum matter,” arXiv:1612.07324 [hep-th]

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D. T. Son, “Newton-Cartan Geometry and the Quantum Hall Effect,” arXiv:1306.0638 [cond-mat.mes-hall]

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K. T. Grosvenor, J. Hartong, C. Keeler and N. A. Obers, “Homogeneous Nonrelativistic Geometries as Coset Spaces,” arXiv:1712.03980 [hep-th]

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J. Kluson, “Note About Hamiltonian Formalism for Newton-Cartan String and p-Brane,” arXiv:1712.07430 [hep-th]

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2017

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E. Bergshoeff, J. Gomis, B. Rollier, J. Rosseel and T. ter Veldhuis, “Carroll versus Galilei Gravity,” JHEP 1703

2017

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T. Harmark, J. Hartong and N. A. Obers, “Nonrelativistic strings and limits of the AdS/CFT correspondence,” Phys. Rev. D 96

2017

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A. Barducci, R. Casalbuoni and J. Gomis, “Non-relativistic Spinning Particle in a Newton-Cartan Background,” JHEP 1801

2018

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