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On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background

Paul Dempster, Mirian Tsulaia

Abstract

We consider in detail the structure of quartic vertices for massless higher spin fields on Minkowski background, and study the consistency conditions imposed on cubic and quartic interactions by symmetries of the S--matrix. We discuss the possibility of generalizing the construction of quartic vertices to D-dimensional anti-de Sitter space.

On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background

Abstract

We consider in detail the structure of quartic vertices for massless higher spin fields on Minkowski background, and study the consistency conditions imposed on cubic and quartic interactions by symmetries of the S--matrix. We discuss the possibility of generalizing the construction of quartic vertices to D-dimensional anti-de Sitter space.

Paper Structure

This paper contains 10 sections, 89 equations.

Table of Contents

  1. Introduction
  2. Basic equations: quartic Lagrangians
  3. Quartic vertices
  4. Quartic vertex: $\Delta_1$ dependence
  5. Quartic vertex: $\Delta_1$ and $\Delta_2$ dependence
  6. Quartic vertex: $\Delta_1$ and $\Delta_3$ dependence
  7. Conditions on the S-matrix
  8. AdS Deformation
  9. Conclusions
  10. Explicit calculations for $\Delta_1$ and $\Delta_2$ dependence