Abstract
We perform canonical analysis of new non-relativistic string action that was found recently in [32]. We also discuss its gauge fixed form.
Highlights
JHEP12(2021)068 diffeomorphism constraint starting from the definition of canonical momenta
The situation is more difficult in case of Hamiltonian constraint it is still simpler than in case of non-relativistic string in stringy Newton-Cartan background [19]. This is again very remarkable property of the new formulation of non-relativistic string. We show that these two constraints are first class constraints that prove consistency of this theory
We show that it is possible to impose this gauge in case of non-relativistic string as well
Summary
We review construction of recently proposed non-relativistic string action [32]. Our goal is to show how such an action can be derived, following [32]. Let us introduce vielbein eMa so that the target space metric has the form gMN = eMa eNbηab ,. Note that space-time indices are M, N = 0, 1, . Following [32] we introduce parametrization of NSNS two form BMN as BM N. where 01 = 1 = − 01 and TF is string tension. As in [32] we introduce indices a = (A, a) corresponding to directions longitudinal and transverse to. String world-sheet where A = 0, 1 are longitudinal and a = 2, .
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