We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy thermodynamics first-order dissipative hydrodynamics are detailed in some simple examples two spatial dimensions, our construction extends to any dimension rotation group (discrete or co...

Analytic-bilinear approach is used to study continuous and discrete non-isospectral symmetries of the generalized KP hierarchy. It is shown that Möbius symmetry transformation for the singular manifold equation leads to continuous or discrete non-isospectral symmetry of the basic (scalar or multicomponent KP) hierarchy connected with binary Bäcklund transformation. A more general class of multi...

All gauge bosons of a non-abelian theory do not transform the same way under discrete transformations time-reversal and charge-conjugation. Moreover, rules depend on how generators are chosen. We show well-defined pertain only to specific choices generators, then unified can be constructed, using matrix forms bosons, which completely independent choice generators.