Weyl Group Invariance and p-brane Multiplets

TL;DR

This paper explores how Weyl groups associated with U duality symmetries in type IIA string theory govern the permutation of field strengths and organize supersymmetric p-brane solutions into multiplets across various dimensions.

Contribution

It provides a detailed analysis of Weyl group actions on field strengths and classifies p-brane multiplets in all dimensions D ≥ 3, extending understanding of duality symmetries.

Findings

Weyl groups permute field strengths systematically.

Classification of p-brane multiplets under Weyl group actions.

Unified description of duality symmetries across dimensions.

Abstract

In this paper, we study the actions of the Weyl groups of the U duality groups for type IIA string theory toroidally compactified to all dimensions $D\ge 3$. We show how these Weyl groups implement permutations of the field strengths, and we discuss the Weyl group multiplets of all supersymmetric $p$-brane solitons.