Special Holonomy Spaces and M-theory
M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope
TL;DR
This paper reviews the construction of special holonomy spaces in M-theory and string theory, focusing on solutions with reduced supersymmetry, fluxes, and recent advances in G_2 holonomy spaces.
Contribution
It summarizes the development of regular p-brane solutions with special holonomy transverse spaces and discusses recent progress in constructing new G_2 holonomy spaces.
Findings
Resolved M2-branes with special holonomy transverse spaces
Fractional D2-branes with special holonomy
Recent advances in G_2 holonomy space construction
Abstract
We review the construction of regular p-brane solutions of M-theory and string theory with less than maximal supersymmetry whose transverse spaces have metrics with special holonomy, and where additional fluxes allow for brane resolutions via transgression terms. We summarize properties of resolved M2-branes and fractional D2-branes, whose transverse spaces are Ricci flat eight-dimensional and seven-dimensional spaces of special holonomy. Recent developments in the construction of new G_2 holonomy spaces are also reviewed.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Advanced Differential Geometry Research