https://doi.org/10.1140/epjc/s10052-022-11036-y
Regular Article - Theoretical Physics
Supersymmetrization of deformed BMS algebras
1
Indian Institute of Science Education and Research Bhopal, Bhopal Bypass Road, Bhauri, 420 066, Bhopal, India
2
Physics Division, National Center for Theoretical Sciences, 10617, Taipei, Taiwan
3
Indian Institute of Science Education and Research Thiruvananthapuram, 695551, Vithura, Kerala, India
4
School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O.Box 19395-5531, Tehran, Iran
Received:
1
August
2022
Accepted:
14
November
2022
Published online:
4
January
2023
The W(a, b) and algebras are deformations of
and
algebras, respectively. We present a
supersymmetric extension of both algebras in the presence of Rsymmetry generators that rotates the two supercharges. Our construction provides the most generic central extensions of the W(a, b) algebra. In particular, we find that
algebra admits a new central extension. On the other hand, we explicitly demonstrate that an infinite
extension of the
algebra corresponding to the
symmetry is not possible for linear and quadratic structure constants with generic deformation parameters. This also implies that the infinite R symmetry considered in our analysis is broken for the
algebra.
© The Author(s) 2023
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