Quite recently, Carter and Khalatnikov [CK] have pointed out that a geometric fourdimensional formulation of the non relativistic Landau theory of perfect superfluid dynamics should involve not only Galilei covariance but also, more significantly as far as gravitational effects are concerned, covariance under a larger symmetry group which they call the Milne group after Milne’s pioneering work ...

Galilean conformal algebra (GCA) is an Inönü-Wigner (IW) contraction of a conformal algebra, while Newton-Hooke string algebra is an IW contraction of an AdS algebra which is the isometry of an AdS space. It is shown that the GCA is a boundary realization of the Newton-Hooke string algebra in the bulk AdS. The string lies along the direction transverse to the boundary, and the worldsheet is AdS...

We present a Galilean invariant 1+1 dimensional B-F type field theory which arises in the dimensional reduction of the Chern-Simons gauged non-linear Schrödinger model in 2+1 dimension in the Bogomol’nyi limit. In this reduction, the B field couples with the matter field in a non-gauge covariant way and it is demonstrated that the model supports Galilean boosted solitons which saturate the Bogo...

The Schrödinger equation of a charged particle in a uniform electric field can be specified in either a time-independent or a time-dependent gauge. The wavefunction solutions in these two gauges are related by a phase-factor reflecting the gauge symmetry of the problem. In this article we show that the effect of such a gauge transformation connecting the two wave-functions can be mimicked by th...

In this work, we develop conformal bootstrap for Galilean field theory (GCFT). a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants. Different from usual theory, quasi-primary in GCFT constitute multiplets, which are block-diagonized under boost operator. More importantly multiplets include of negative norms, indicating is not unitary. We compute blo...