Gravitational interaction of massless fields with higher spins (s greater than 2)

Physics

Scientific paper

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Cosmology, Field Theory (Physics), Gravitational Effects, Spin, Gravitation, Mass

Scientific paper

Massless fields with higher spins (s greater than 2) and the problem of consistently including their gravitational interaction are considered, using a description of these fields in a two-dimensional and anti-deSitter space. With the aid of an N = 1 superalgebra for higher spins, it is demonstrated that consistent gravitational interaction of such massless fields exists at least in the first nontrivial order. Using the explicit invariant action S in generalized coordinates for description of spin dynamics, the first variation delta S is shown to be zero by virtue of two earlier proposed relations and upon appropriate transformation with specially selected coefficients. This action together with those two relations is accordingly found to consistently describe the dynamics of all massless fields with spins greater than or = 3/2 in the cubic approximation, involving only two independent constants: the gravitational constant and the cosmological one.

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