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How to halve maximal supergravity

Giuseppe Dibitetto, Adolfo Guarino, Diederik Roest

Abstract

We work out the truncation from maximal to half-maximal supergravity in four dimensions. In particular, we determine the explicit constraints on the embedding tensors of both theories. These tensors specify the complete theories, including gauge groups and scalar potentials. Firstly, we find the linear constraint on N=8 theories to allow for a truncation to N=4. Secondly, we determine the additional N=4 quadratic constraints following from N=8. Finally, we comment on a brane interpretation as tadpole conditions for the latter.

How to halve maximal supergravity

Abstract

We work out the truncation from maximal to half-maximal supergravity in four dimensions. In particular, we determine the explicit constraints on the embedding tensors of both theories. These tensors specify the complete theories, including gauge groups and scalar potentials. Firstly, we find the linear constraint on N=8 theories to allow for a truncation to N=4. Secondly, we determine the additional N=4 quadratic constraints following from N=8. Finally, we comment on a brane interpretation as tadpole conditions for the latter.

Paper Structure

This paper contains 8 sections, 48 equations, 1 figure.

Table of Contents

  1. Motivation: a string / supergravity puzzle
  2. Truncating maximal supergravity
  3. Concluding remarks
  4. Acknowledgments

Figures (1)

  • Figure 1: The subsets of ${\cal N} = 8$ and ${\cal N} = 4$ theories that can be related via a truncation are indicated. The former subset satisfies a stronger linear constraint (L.C.), while the latter is subject to additional quadratic constraints (Q.C.).