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Superconformal Tensor Calculus in Five Dimensions

Tomoyuki Fujita, Keisuke Ohashi

Abstract

We present a full superconformal tensor calculus in five spacetime dimensions in which the Weyl multiplet has 32 Bose plus 32 Fermi degrees of freedom. It is derived by the dimensional reduction from the 6D superconformal tensor calculus. We present two types of 32+32 Weyl multiplets, vector multiplet, linear multiplet, hypermultiplet and nonlinear multiplet. Their superconformal transformation laws and the embedding and invariant action formulas are given.

Superconformal Tensor Calculus in Five Dimensions

Abstract

We present a full superconformal tensor calculus in five spacetime dimensions in which the Weyl multiplet has 32 Bose plus 32 Fermi degrees of freedom. It is derived by the dimensional reduction from the 6D superconformal tensor calculus. We present two types of 32+32 Weyl multiplets, vector multiplet, linear multiplet, hypermultiplet and nonlinear multiplet. Their superconformal transformation laws and the embedding and invariant action formulas are given.

Paper Structure

This paper contains 20 sections, 97 equations, 2 tables.

Table of Contents

  1. Introduction
  2. Weyl multiplet
  3. Constraints and the unsubstantial gauge fields
  4. The transformation law and the superconformal algebra
  5. Transformation laws of matter multiplets
  6. Vector multiplet
  7. Hypermultipet
  8. Linear multiplet
  9. Nonlinear multiplet
  10. Embedding and invariant action formulas
  11. Embedding formulas
  12. Invariant action formula
  13. The two-form gauge field and Nishino-Rajpoot formulation
  14. Summary and comments
  15. Conventions and Useful Identities
  16. ...and 5 more sections