Abstract
The W(a, b) and W(a,b;bar{a},bar{b}) algebras are deformations of mathfrak {bms}_{3} and mathfrak {bms}_{4} algebras, respectively. We present a mathcal {N}=2 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 mathcal {N}=2mathfrak {bms}_{3} algebra admits a new central extension. On the other hand, we explicitly demonstrate that an infinite U(1)_V times U(1)_A extension of the W(a,b;bar{a},bar{b}) algebra corresponding to the R-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 mathcal {N}=2 , mathfrak {bms}_{4} algebra.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
