Please use this identifier to cite or link to this item: https://doi.org/10.1007/BF02099671
Title: Gauge theory in Witten's approach to the generation problem
Authors: McInnes, B. 
Issue Date: May-1991
Citation: McInnes, B. (1991-05). Gauge theory in Witten's approach to the generation problem. Communications in Mathematical Physics 138 (1) : 107-136. ScholarBank@NUS Repository. https://doi.org/10.1007/BF02099671
Abstract: In Witten's topological theory of the generation problem, gauge groups are identified with the E8 centraliser of the holonomy group of the internal manifold. Here we show that this amounts to interpreting gauge groups as generalised symmetry groups of the (internal) Levi-Civitá connection. We then give techniques for computing centralisers in exceptional groups, taking into account the fact that holonomy groups are frequently disconnected. These techniques allow us to deal with compact locally irreducible Ricci-flat Riemannian manifolds of all holonomy types and dimensions. © 1991 Springer-Verlag.
Source Title: Communications in Mathematical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/103319
ISSN: 00103616
DOI: 10.1007/BF02099671
Appears in Collections:Staff Publications

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