Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetrization of deformed BMS algebras   $W(a,b)$ and $W(a,b;\bar{a},\bar{b})$ algebras are deformations of
${\mathfrak{bms}_3}$ and ${\mathfrak{bms}_4}$ algebra respectively. We present
an $\mathcal{N}=2$ supersymmetric extension of $W(a,b)$ and
$W(a,b;\bar{a},\bar{b})$ algebra in presence of $R-$symmetry generators that
rotate the two supercharges. For $W(a,b)$ our construction includes most
generic central extensions of the algebra. In particular we find that
$\mathcal{N}=2$ ${\mathfrak{bms}_3}$ algebra admits a new central extension
that has so far not been reported in the literature. For
$W(a,b;\bar{a},\bar{b})$, we find that an infinite $U(1)_V \times U(1)_A$
extension of the algebra is not possible with linear and quadratic structure
constants for generic values of the deformation parameters. This implies a
similar constraint for $U(1)_V \times U(1)_A$ extension of $\mathcal{N}=2$
${\mathfrak{bms}_4}$ algebra.

14
The categories of this paper are: math-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio