All Questions
4
questions
1
vote
2
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406
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Is the conformal group in $2+0$D isomorphic to the Lorentz group $SO(3,1)$ in $3+1$D?
In the Wikipedia article on conformal field theory, it is said the following:
The conformal group is locally isomorphic to $SO(1,d+1)$ (Euclidean)
or $SO(2,d)$ (Minkowski).
Does that mean that the ...
- 1,723
2
votes
1
answer
310
views
Wigner's classification in curved space
Wigner classfied elementary particle as unitary irreducible representations (UIR) of the Poincaré group.
Suppose the spacetime is curved with symmetries $G$. Should the elementary particles in this ...
- 1,354
2
votes
0
answers
186
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Spacetime as a coset of a symmetry group
In the introduction to his nice PNAS paper on symmetry, David Gross said
Einstein’s great advance in 1905 was to put symmetry first, to regard the symmetry principle as the primary feature of ...
user99292
12
votes
1
answer
407
views
Highest symmetric non-maximally symmetric spacetime
What is the highest number of symmetries (Killing vectors) that a (4-dimensional) spacetime can have without being maximally symmetric? From what I can see, it seems to be 7 (which includes the ...
- 16.5k