advanced_tools:group_theory:desitter
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advanced_tools:group_theory:desitter [2018/03/24 11:09] jakobadmin [Layman] |
advanced_tools:group_theory:desitter [2018/03/24 11:10] (current) jakobadmin [FAQ] |
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| - | <tabbox Examples> | ||
| - | --> Example1# | ||
| - | + | <tabbox FAQ> | |
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| - | --> Example2:# | + | -->It ist confusing what a "five-dimensional" group like $SO(4,1)$ has to say about our four-dimensional world. Does this mean deSitter theories predict a fifth dimension?# |
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| + | No, recall that an explicit representation of the Poincare group is given by $(5 \times 5)$ matrices, too! This is, because the Lorentz group transformations are $(4 \times 4)$ matrices themselves and in oredr to describe translations, we need to make these matrices into $(5 \times 5)$ matrices. See, for example, chapter 4 "The Poincaré transformations" in [[http://www.springer.com/us/book/9783642154812|Symmetries and Group Theory in Particle Physics]] by Costa and Fogly. | ||
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| - | <tabbox FAQ> | ||
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| <tabbox History> | <tabbox History> | ||
advanced_tools/group_theory/desitter.1521886184.txt.gz · Last modified: 2018/03/24 10:09 (external edit)
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