30,767 research outputs found
Consistency Conditions for AdS/CFT Embeddings
The group embeddings used in orbifolding the AdS/CFT correspondence to arrive
at quiver gauge field theories are studied for both supersymmetric and
non-supersymmetric cases. For an orbifold the
conditions for embeddings of the finite group in the
isotropy of are stated in the form of consistency rules, both for Abelian
and Non-Abelian .Comment: 10 pages LaTe
Abelian symmetries in multi-Higgs-doublet models
N-Higgs doublet models (NHDM) are a popular framework to construct
electroweak symmetry breaking mechanisms beyond the Standard model. Usually,
one builds an NHDM scalar sector which is invariant under a certain symmetry
group. Although several such groups have been used, no general analysis of
symmetries possible in the NHDM scalar sector exists. Here, we make the first
step towards this goal by classifying the elementary building blocks, namely
the abelian symmetry groups, with a special emphasis on finite groups. We
describe a strategy that identifies all abelian groups which are realizable as
symmetry groups of the NHDM Higgs potential. We consider both the groups of
Higgs-family transformations only and the groups which also contain generalized
CP transformations. We illustrate this strategy with the examples of 3HDM and
4HDM and prove several statements for arbitrary N.Comment: 33 pages, 2 figures; v2: conjecture 3 is proved and becomes theorem
3, more explanations of the main strategy are added, matches the published
versio
Galois embedding of K3 surface --abelian case--
We study Glois embeddings of K3 surfaces in the case where the Galois groups
are abelian. We show several properties of K3 surfaces concerning the Galois
embeddings. In particular, if the Galois group G is abelian, then G is
isomorphic to Z/4Z, Z/6Z or Z/2Z\oplusZ/2Z\oplusZ/2Z and S is a smooth complete
intersection of hypersurfaces. Further, we state the detailed structure of such
surfaces
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