  The quantum entanglement measures for $T{\overline{T}}$ deformed field theory
on boundary, deformation coefficient $\mu$, with dual bulk geometry with finite
radial cutoff $\rho_c$, for entangling region is single or disjoint intervals
on the boundary, of length l is expected to give global description of these
measures over the complete parameter-regime of $(l, \mu)$ or on 2D $(l,\rho_c)$
plane, because it is solvable irrelevant deformation. Here, to find
quantum-measures through RT prescription, from Hyperscaling violating bulk
geometry with finite radial cut off, we found mathematically it is impossible,
to obtain such global form, since the turning point $\rho_0 (l,\rho_c)$,
neither in its exact or in any perturbative form, is solvable globally, can
describe these quantum measures at most locally over some specific regime in 2D
$(l,\rho_c)$ plane! However, to find such global form, we found, on application
of RT formalism, a global symmetry structure, from the considered geometry
emerges, over 2D parameter-space, irrespective of d, $\theta$, which alongwith
global b.c and other consistency conditions, fix $\rho_0(l,\rho_c)$ globally,
exactly in $l >> \rho_c $ and $\rho_c >> l$ regime and as some interpolating
expressions, very close to the exact one in other regime. Some of the quantum
entanglement measures with this $\rho_0 (l,\rho_c)$, with our intuitively
predicted behaviour for them in the deformed theory, derived and shown,
behaving accordingly. The impact of this emergent symmetry on these
quantum-measures is discussed, the possible space time origin of this symmetry
is explored, although the later aspect is subjected to a proper and detailed
study.
