Yu.A. Kubyshin, J.M. Mour~ao, G. Rudolph and I.P. Volobujev, Dimensional reduction of gauge theories, spontaneous compactification and model building. Lecture Notes in Physics, vol. 349. SpringerVerlag, Berlin (1989). Home/Search Document Not in Database Summary Related Articles Check |
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Lorentz Invariance and the Cosmological Constant - Bertolami (1997) (Correct)
.... may be circumvented for instance, assuming the compactification process respects certain requirements, such as for instance, the condition the dimensional reduction procedure involves compact manifolds that are coset spaces and accordingly K Gammasymmetric metric and matter fields [1, 2] see [3, 4] for thorough discussions and a complete set of references) However, this of course cannot be regarded as a dynamical explanation. In the context of string theories, in particular, the spontaneous breaking of the Lorentz symmetry can be envisaged as an interesting way out [5, 6] as string field ....
Yu.A. Kubyshin, J.M. Mour~ao, G. Rudolph and I.P. Volobujev, Lecture Notes in Physics 349 (Springer Verlag, 1988)
Study of Wilson loop functionals in 2D Yang-Mills theories - Aroca, Kubyshin Self-citation (Kubyshin) (Correct)
....the space time transformation O k on M (which is the projection of L k to M ) This formula tells that the symmetric potential is invariant under transformations of K up to a gauge transformation. Here we consider the case when K acts transitively on M (see Ref. 13] for general theory and Ref. [25] for review) Then M is a coset space K=H , where H is a subgroup of K, called the isotropy group, and K acts on K=H in the canonical way. The 1 form A = A dx , which describes a symmetric potential satisfying (14) and is a pull back of an invariant form with respect to a (local) section of ....
....mapping OE : M G satisfying the equivariant condition OE (ad(h)u) ad( h) OE(u) h 2 H; u 2 M: 17) This condition can be viewed as the intertwining condition between representations of H in M and G. An effective technique for solving the constraint (17) was developed in Refs. 27] see also [25]) As a concrete example we will consider the Yang Mills theory on the two dimensional sphere S 2 with the gauge group G = SU(2) The sphere is realized as a coset space S 2 = SU(2) U(1) Let us construct first the 1 forms H and M which appear in Eq. 16) As usual, we cover the ....
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Yu.A. Kubyshin, J.M. Mour~ao, G. Rudolph and I.P. Volobujev, Dimensional reduction of gauge theories, spontaneous compactification and model building. Lecture Notes in Physics, vol. 349. SpringerVerlag, Berlin (1989).
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