The extended future tube conjecture for SO(1,n)
Abstract
Let C be the open upper light cone in
R
1+n
with respect to the Lorentz product. The connected linear Lorentz group SO
R
(1,n
)
0
acts on C and therefore diagonally on the N-fold product
T
N
where
T=
R
1+n
+iC⊂
C
1+n
. We prove that the extended future tube SO
C
(1,n)⋅
T
N
is a domain of holomorphy.