Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

5d and 6d SCFTs Have No Weak Coupling Limit

Chi-Ming Chang

Abstract

We prove that there does not exist any weak coupling limit in the space of superconformal field theories in five and six dimensions, based on an analysis of the representation theory of the corresponding superconformal algebras. Holographically, this implies that superstring theories on AdS$_6$ and AdS$_7$ do not admit tensionless limits. Finally, we discuss the implications of our result on the existence of an action for coincident M5-branes.

5d and 6d SCFTs Have No Weak Coupling Limit

Abstract

We prove that there does not exist any weak coupling limit in the space of superconformal field theories in five and six dimensions, based on an analysis of the representation theory of the corresponding superconformal algebras. Holographically, this implies that superstring theories on AdS and AdS do not admit tensionless limits. Finally, we discuss the implications of our result on the existence of an action for coincident M5-branes.

Paper Structure

This paper contains 7 sections, 6 equations, 1 figure.

Table of Contents

  1. Main theorem
  2. Review of superconformal representation theory
  3. Proof of main theorem
  4. Generalization to lower dimensions
  5. Implication for string theory
  6. Towards the non-existence of actions
  7. Acknowledgments

Figures (1)

  • Figure 1: The scaling dimensions of long and short multiplets.