Holonomy from wrapped branes

TL;DR

This paper reviews how wrapped D6-branes in M-theory lead to special holonomy manifolds, using eight-dimensional gauged supergravity to connect lower-dimensional wrapped brane configurations with eleven-dimensional descriptions.

Contribution

It provides a comprehensive review of the eleven-dimensional descriptions of D6-branes wrapped on various supersymmetric cycles using gauged supergravity methods.

Findings

Describes wrapped D6-branes on coassociative 4-cycles

Analyzes wrapped branes on deformed 3-cycles in Calabi-Yau threefolds

Studies branes on Kahler 4-cycles

Abstract

Compactifications of M-theory on manifolds with reduced holonomy arise as the local eleven-dimensional description of D6-branes wrapped on supersymmetric cycles in manifolds of lower dimension with a different holonomy group. Whenever the isometry group SU(2) is present, eight-dimensional gauged supergravity is a natural arena for such investigations. In this paper we use this approach and review the eleven dimensional description of D6-branes wrapped on coassociative 4-cycles, on deformed 3-cycles inside Calabi-Yau threefolds and on Kahler 4-cycles.