We construct the free Lagrangian of magnetic sector Carrollian electrodynamics. The construction relies on Helmholtz integrability condition for differential equations in a self consistent algorithm, working hand with imposing invariance under infinite dimensional Conformal Carroll algebra. It requires inclusion new fields dynamics and system is gauge redundancies. next add interaction (quartic...

Two-loop contributions to the anomalous correlation function 〈Jμ(x)Jν(y)Jρ(z)〉 of three chiral currents are calculated by a method based on the conformal properties of massless field theories. The method was previously applied to virtual photon diagrams in quantum electrodynamics, and it is extended here to diagrams with scalars and chiral spinors in the abelian Higgs model and in the SU(3) × S...

The conformal symmetry on the instanton moduli space is discussed using the ADHM construction, where a viewpoint of “homogeneous coordinates” for both the spacetime and the moduli space turns out to be useful. An interesting 5-dimensional interpretation of the SU(2) single-instanton is also mentioned.

We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful static cylindrically symmmetric distributions of matter, smoothly matched to Levi-Civita vacuum spacetime. It is shown that the conformally flat solution with equal principal stresses represents an incompressible fluid. It is also proved that any conformally flat c...

Abstract: We show that the concept of complete symmetry group introduced by Krause (J Math Phys 35 (1994) 5734-5748) in the context of the Newtonian Kepler problem has wider applicability, extending to the relativistic context of the Einstein equations describing spherically symmetric bodies with certain conformal Killing symmetries. We also provide a simple demonstration of the nonuniqueness o...