---
title: "Real Structures in Clifford Algebras and Majorana Conditions in Any Space-Time • CBPF Index"
description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community."
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**Physics Note****Published**

# **Real Structures in Clifford Algebras and Majorana Conditions in Any Space-Time**

**M. A. Andrade; F. Toppan**

1999

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb446/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Real%20Structures%20in%20Clifford%20Algebras%20and%20Majorana%20Conditions%20in%20Any%20Space-Time)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>M. A. Andrade; F. Toppan</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1999</dd>

<dt>Description</dt>
<dd>The Weyl representation is used to analyze Clifford algebras and Majorana conditions in any spacetime. An index labeling inequivalent &lt;math&gt;\Gamma&lt;/math&gt; -structures up to orthogonal conjugations is introduced. Inequivalent charge-operators in even-dimensions, invariant under Wick rotations, are considered. The hermiticity condition on free-spinors lagrangians is presented. The constraints put by the Majorana condition on the free-spinors dynamics are analyzed. Tables specifying which spacetimes admit lagrangians with non-vanishing kinetic, massive or pseudomassive terms (for both charge-operators in even dimensions) are given. The admissible free lagrangians for free Majorana-Weyl spinors are fully classified.</dd>

<dt>Year</dt>
<dd>1999</dd>

<dt>Number</dt>
<dd>CBPF-NF-013/99</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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