Kaluza-Klein Theories Without Truncation

TL;DR

This paper derives a comprehensive closed-form expression for the effective action of all bosonic fields, both massless and massive, resulting from compactifying higher-dimensional gravity or supergravity theories to lower dimensions.

Contribution

It provides a novel, exact formula for the space-time effective action encompassing all bosonic fields from compactified supergravity theories.

Findings

Explicit closed-form expression for effective action.

Includes both massless and massive bosonic fields.

Applicable to various supergravity compactifications.

Abstract

In this note we present a closed expression for the space-time effective action for all bosonic fields (massless and massive) obtained from the compactification of gravity or supergravity theories (such as type II or eleven-dimensional supergravities) from $D$ to $d$ space-time dimensions.