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Bounds on Discrete Gauge Symmetries in Supergravity

Zihni Kaan Baykara, Markus Dierigl, Hee-Cheol Kim, Cumrun Vafa, Kai Xu

Abstract

We place bounds on the order of enhanced discrete gauge symmetries that act on massless fields and thus arise at subloci of the moduli space in supergravity theories. We focus on supersymmetric theories with 8 or more supercharges which in some cases lead to sharp upper bounds realized by specific string constructions.

Bounds on Discrete Gauge Symmetries in Supergravity

Abstract

We place bounds on the order of enhanced discrete gauge symmetries that act on massless fields and thus arise at subloci of the moduli space in supergravity theories. We focus on supersymmetric theories with 8 or more supercharges which in some cases lead to sharp upper bounds realized by specific string constructions.

Paper Structure

This paper contains 21 sections, 60 equations, 1 figure, 2 tables.

Table of Contents

  1. Introduction
  2. Bounding discrete symmetries
  3. A rough upper bound
  4. A simple example
  5. 32 supercharges
  6. Bounds from U-duality
  7. Symmetric points
  8. 16 supercharges
  9. Realizations and symmetric points
  10. 8 supercharges
  11. General upper bounds on the tensor sector
  12. Constraints from the H-string
  13. Refined upper bounds on tensor sector
  14. Hypermultiplet sector
  15. Discrete anomalies
  16. ...and 6 more sections

Figures (1)

  • Figure 1: Points in moduli space (of $\tau$) at which a $\mathbb{Z}_3$ and $\mathbb{Z}_4$ symmetry of the full SL$(2;\mathbb{Z})$ duality are restored.