15/15.
Spin(11,1) string theory is:
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Motivated by the fact that
Spin(10) chirality equals Dirac chirality.
From this, all else follows.
-
Not
a direct product of internal and spacetime manifolds.
-
11+1 dimensional,
nontrivially accommodating
10 compact internal dimensions
and 3+1 large spacetime dimensions.
-
Weak and color gauge fields are carried by bosonic open strings
whose ends attach to D4- and D6-subbranes of the internal fermionic D10-brane.
-
The complex fermionic D10-brane becomes a Calabi-Yau five-fold
on Pati-Salam symmetry breaking to the standard model.
-
A 26d bosonic string theory compactified to 12d on a 14d maximal
self-dual torus of SU(8)×SU(8)
(like heterotic theory compactified to 10d
on the 16d maximal self-dual torus of E8×E8).
-
Not supersymmetric,
so does not predict unobserved superpartners.
-
Anomaly-free, modular-invariant.
-
Are there Calabi-Yau five-folds with Euler characteristic ±6, giving three generations?
-
Tachyonic.
It decays through tachyonic Higgs fields down to the present time,
where the vacuum energy (dark energy) is apparently stable
over cosmological timescales.
-
Spin(11,1) may already be ruled out because
the predicted energy scale of grand unification,
1015 GeV,
is less than the lower limit of
4×1015 GeV
inferred for Spin(10) models by
King et al. (2021)
from the
Super-Kamiokande lower limit
of 1.6×1034 yr
on the proton lifetime.
A more careful calculation needs to be done that follows the symmetry
breaking chain of Spin(11,1)
rather than Spin(10).