Invertible Isomorphisms in interactions of multidimensional massless fields Quantum Review Letters

This paper proves that the present deformation of the BC equations violates the symmetric algebra of free massless field equations with respect to its conformal subalgebra. The analysis was performed with respect to the field strength of the invariant fields. In order to eliminate the symmetry of sp, it was sufficient to show that the symmetry of a helix, which is below the algebra sp, is incompatible with the current interactions. Our conclusions are consistent with the structure of field equations containing the free phase parameter η = eiφ, which forms a one-dimensional representation of the algebra of helical transformations u (1), which connects nonequivalent VS theories characterized by different values of φ. Therefore, the duality symmetry of EM is not symmetry of fixed wave theory with fixed η, juxtaposition of one theory with another. In this respect, the parameter η reminds the built-in tensor to describe different models of super-gravity. It would be interesting to find in a nonlinear theory a field similar to the Higgs field, which disrupts the symmetry of sp to conformal algebra, which allows us to interpret the symmetry sp of the theory as spontaneously broken. Further development of these ideas may lead to a better understanding of the nature of double symmetries in theory.

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Invertible Isomorphisms in interactions of multidimensional massless fields #8

Invertible Isomorphisms in interactions of multidimensional massless fields Quantum Review Letters