In this paper, a novel conserved Lorentz covariant tensor, termed the helicity is introduced in Maxwell theory. The conservation of tensor expresses laws contained array, by Cameron et al., including helicity, spin, and spin-flux or infra-zilch. covariance contrast to previous formulations hierarchy laws, which required non-Lorentz transverse gauge. shown arise as Noether current for variationa...

We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in extended phase space. In this discussion, presence of provides complete geometrical description BRST within ambit supervariable approach. derive conserved (anti-)BRST charges FRW using celeb...

We analyze the relation of notion a pluri-Lagrangian system, which recently emerged in theory integrable systems, to classical variational symmetry, due E. Noether. treat mechanical systems and show that, for any Lagrangian system with $m$ commuting symmetries, one can construct 1-form $(m+1)$-dimensional time, whose multi-time Euler-Lagrange equations coincide original supplied evolutionary fl...

Abstract The present work deals with a complex scalar field in tensor gravity theory the background of spatially flat Friedmann–Lema $${\hat{i}}$$ i ^ tre–Robertson–Walker (FLRW) geometry. Noether symmetry analysis has been used to determine classical cosmological sol...

We consider Noether symmetries within Hamiltonian setting as transformations that preserve Poincaré–Cartan form, i.e., as symmetries of characteristic line bundles of nondegenerate 1-forms. In the case when the Poincaré–Cartan form is contact, the explicit expression for the symmetries in the inverse Noether theorem is given. As examples, we consider natural mechanical systems, in particular th...

Abstract We show an O(4) symmetry emerges at a deconfined quantum tricritical point of valence bond solid (VBS) and two ferromagnetic phases in S = 1/2 frustrated spin chain by combining analytical analysis numerical calculations with the time evolution infinite matrix product states. With this symmetry, valence-bond three magnetic order parameters form pseudovector infrared limit, can continuo...

Abstract In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian hydrodynamics which has recently gained increasing attentions due to its underlying connection with dynamics spacetime near null boundaries, and aim at exploring symmetries associated conservation laws fluids. With an elaborate construction Carroll geometries, generalize the Randers–Papapetrou metric by incorpo...