Superconformal Tensor Calculus in Five Dimensions
Tomoyuki Fujita, Keisuke Ohashi
TL;DR
This paper develops a comprehensive superconformal tensor calculus in five dimensions, derived from six-dimensional theories, including various multiplets and their transformation laws for advanced theoretical physics research.
Contribution
It introduces a full superconformal tensor calculus in five dimensions with explicit multiplets and transformation laws, derived via dimensional reduction from six dimensions.
Findings
Constructed 32+32 Weyl multiplets and their transformation laws
Presented invariant action formulas for various multiplets
Established a framework for 5D superconformal theories
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.
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