The usual gravitational wave memory effect can be understood as a change in the
separation of two initially comoving observers due to a burst of gravitational waves. Over the …

In this paper we parallel the construction of Tong of a gauge theory for shallow water, by
writing a gauge theory for the Euler fluid in 2+ 1 dimensions. We then extend it to a Euler …

The phenomenon of BCJ duality implies that gauge theories possess an abstract kinematic
algebra, mirroring the non-abelian Lie algebra underlying the colour information. Although …

Two actions which are functionals of different variables but describing the same dynamical
system can be shown to possess the same origin by constructing a master action which …

We discover a surprising connection between Carrollian symmetries and hydrodynamics in
the shallow water approximation. Carrollian symmetries arise in the speed of light going to …

Dth+ h (v· u)= 0, Dth+ h∂ iui= 0,(1.2 a) Dtu+ gvh− f∗ u= 0, Dtui+ g∂ ih− fεijuj= 0,(1.2 b)
where the dual∗ u has components (∗ u) i= εijuj=(u2,− u1) and is such that∗∗ u=− u. Here g …

Известна дуальность между невязкой жидкостью в размерности d+ 1 и d− 1-формами, в
рамках которой устанавливается соответствие между вихрями в жидкости и бранами …