Bagchi, A., Grumiller, D., & Nandi, P. (2022). Carrollian superconformal theories and super BMS. Journal of High Energy Physics, 2022(5), Article 44. https://doi.org/10.1007/JHEP05(2022)044
AdS-CFT Correspondence; Conformal and W Symmetry; Gauge-Gravity Correspondence; Space-Time Symmetries
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Abstract:
We investigate the supersymmetric versions of Bondi-Metzner-Sachs or, equivalently, conformal Carroll symmetry in boundary dimensions 𝑑 > 3, with applications of flat space holography in mind. We identify the contraction of the relativistic symmetry relevant for our purposes and construct a finite-dimensional Carrollian superconformal algebra (CSA) before proposing an infinite-dimensional lift. We provide the superspace formulation for 𝒩 = 1 CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of 𝒩 > 1 CSA.
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Research Areas:
Beyond TUW-research foci: 50% Fundamental Mathematics Research: 50%