In this work, we introduce some new $U(1)$ symmetry groups of the free fermionic action in euclidean space-time, which are a consequence parity and time-reversal symmetries. Afterwards, discuss how introduction gauge interaction affects invariance action, with special reference to QCD. Moreover, inspired by recent QCD lattice results \textit{Glozman et al.}, an interesting unexpected group has ...

Abstract For a locally compact metrisable group G , we study the action of ${\rm Aut}(G)$ on Sub}_G$ set closed subgroups endowed with Chabauty topology. Given an automorphism T relate distality -action that under certain condition. If is connected Lie group, characterise in terms compactness subgroup generated by conditions center or as follows: has no central positive dimension unipotent cont...

We consider the action on instanton moduli spaces of the non-local symmetries of the self-dual Yang–Mills equations on R discovered by Chau and coauthors. Beginning with the ADHM construction, we show that a sub-algebra of the symmetry algebra generates the tangent space to the instanton moduli space at each point. We explicitly find the subgroup of the symmetry group that preserves the one-ins...

We present a qualitative approach to represent and reason upon transport reactions in metabolic networks. Our approach is built on action description languages for representing the dynamics of metabolic networks. To begin with, we introduce the transport reaction language T that is a customized sub-language of action language C. We illustrate the modelling capacities by authentic biological exa...

Every action of a group on a set decomposes the set into orbits. The group acts on each of the orbits and an orbit does not have sub-orbits (unequal orbits are disjoint), so the decomposition of a set into orbits could be considered as a “factorization” of the set into “irreducible” pieces for the group action. Our focus here is on these irreducible parts, namely group actions with a single orbit.