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Topological Fields in $4d$ Higher Spin Theory

P. T. Kirakosiants

Abstract

The equations for topological fields in the $4d$ higher spin theory are considered. It is shown that these fields contain a finite number of degrees of freedom that justifies their naming. The issue of construction of gauge invariant functionals is addressed, and a gauge-invariant cubic action is constructed for the interacting physical and topological higher spin fields.

Topological Fields in $4d$ Higher Spin Theory

Abstract

The equations for topological fields in the higher spin theory are considered. It is shown that these fields contain a finite number of degrees of freedom that justifies their naming. The issue of construction of gauge invariant functionals is addressed, and a gauge-invariant cubic action is constructed for the interacting physical and topological higher spin fields.
Paper Structure (7 sections, 106 equations)

This paper contains 7 sections, 106 equations.

Table of Contents

  1. Introduction
  2. Generating system
  3. Homogeneous equation
  4. Inhomogeneous equation
  5. Action
  6. Conclusion
  7. Derivation of linear equations