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Higher Spin Lifshitz Theory and Integrable Systems

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arxiv 1412.7085 v1 pith:STJIVN6P submitted 2014-12-22 hep-th

classification hep-th
keywords higherintegrablelifshitzspinsystemsasymptoticallychern-simonsconstruct
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In this note we construct asymptotically Lifshitz spacetimes in the Chern-Simons formulation of three dimensional higher spin gravity and relate the resulting theories to integrable systems which are elements of the KdV hierarchy.

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  1. Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity

    hep-th 2025-05 conditional novelty 6.0 of 10

    The su(1,2)⊕u(1) Chern-Simons theory is torsional Newton-Cartan gravity whose 1/c expansion reproduces the extended z=2 Schrödinger gravity and whose asymptotic symmetry is the W_3^(2)⊕u(1) algebra.

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