Kavli Affiliate: Austin Joyce
| First 5 Authors: Jonathan J. Heckman, Austin Joyce, Jeremy Sakstein, Mark Trodden,
| Summary:
We explore potential uses of physics formulated in Kleinian (i.e., $2+2$)
signature spacetimes as a tool for understanding properties of physics in
Lorentzian (i.e., $3+1$) signature. Much as Euclidean (i.e., $4+0$) signature
quantities can be used to formally construct the ground state wavefunction of a
Lorentzian signature quantum field theory, a similar analytic continuation to
Kleinian signature constructs a state of low particle flux in the direction of
analytic continuation. There is also a natural supersymmetry algebra available
in $2+2$ signature, which serves to constrain the structure of correlation
functions. Spontaneous breaking of Lorentz symmetry can produce various
$mathcal{N} = 1/2$ supersymmetry algebras that in $3 + 1$ signature correspond
to non-supersymmetric systems. We speculate on the possible role of these
structures in addressing the cosmological constant problem.
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