Releases: eq19/grammar
Releases · eq19/grammar
Theory of Everything
It has been found recently that the expansion of N = 8 supergravity in terms of Feynman diagrams has shown that N = 8 supergravity is in some ways [1] a product of two N = 4 super Yang–Mills theories.
- This is written schematically as: N = 8 supergravity = (N = 4 super Yang–Mills) × (N = 4 super Yang–Mills). This is not surprising, as N = 8 supergravity contains six independent representations of N = 4 super Yang–Mills.
- The theory contains 1 graviton (spin 2), 8 gravitinos (spin 3/2), 28 vector bosons (spin 1), 56 fermions (spin 1/2), 70 scalar fields (spin 0) where we don't distinguish particles with negative spin.
- These numbers are simple combinatorial numbers that come from Pascal's Triangle and also the number of ways of writing n as a sum of 8 nonnegative cubes A173681.
- The only theories with spins higher than 2 which are consistent involve an infinite number of particles (such as String Theory and Higher-Spin Theories). Stephen Hawking in his Brief History of Time speculated that this theory could be the Theory of Everything.
- One reason why the theory was abandoned was that the 28 vector bosons which form an O(8) gauge group is too small to contain the standard model U(1) x SU(2) x SU(3) gauge group, which can only fit within the orthogonal group O(10).
For model building, it has been assumed that almost all the supersymmetries would be broken in nature,[why?] leaving just one supersymmetry (N = 1), although nowadays because of the lack of evidence for N = 1 supersymmetry higher supersymmetries are now being considered such as N = 2. (Wikipedia)