Generalized holonomy of M-theory vacua
A. Batrachenko, M.J. Duff, James T. Liu, W.Y. Wen
TL;DR
This paper computes the generalized holonomy groups of various M-theory vacua, linking the number of supersymmetries to the decomposition of the SL(32,R) representation, thus advancing understanding of M-theory solutions.
Contribution
It provides explicit calculations of the generalized holonomy for multiple M-theory backgrounds, including branes and waves, revealing their supersymmetry properties.
Findings
Holonomy groups determine supersymmetry counts in M-theory vacua.
Explicit holonomy calculations for M2, M5, M-wave, M-monopole, and pp-waves.
New insights into the structure of supersymmetric M-theory solutions.
Abstract
The number of M-theory vacuum supersymmetries, 0 <= n <= 32, is given by the number of singlets appearing in the decomposition of the 32 of SL(32,R) under H \subset SL(32,R) where H is the holonomy group of the generalized connection which incorporates non-vanishing 4-form. Here we compute this generalized holonomy for the n=16 examples of the M2-brane, M5-brane, M-wave, M-monopole, for a variety of their n=8 intersections and also for the n>16 pp waves.
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