Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups | Zendy

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Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups

Author(s) -

Dave Pandres

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/609218

Subject(s) - mathematics , supermanifold , group (periodic table) , manifold (fluid mechanics) , pure mathematics , electroweak interaction , fermion , lie group , particle physics , physics , quantum mechanics , mechanical engineering , engineering

We begin by recalling a group which is an enlargement of the diffeomorphisms on an ordinary manifold. We used this larger group to unify the gravitational and electroweak fields, which are mediated by bosons. Unfortunately, we could not include the neutrinos, because geometrical theories based on an ordinary manifold generally cannot include fermions. Therefore, in this paper, we introduce an analogous group that contains the superdiffeomorphisms on a DeWitt supermanifold as a proper subgroup

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