Whittaker modules for the N = 1 super-BMS<sub>3</sub> algebra

Dilxat, Munayim; Gao, Shoulan; Liu, Dong

doi:10.1142/s0219498824500889

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The N = 1 Bms 3 Superalgebra1

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2023

2024

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Cited by 3 publications

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“…It is the semi-direct product of the Virasoro algebra with its adjoint module. The N = 1 super-BMS 3 is a minimal supersymmetric extension of the BMS 3 algebra, which has been introduced to describe the asymptotic structure of the N = 1 supergravity in [3,11].…”

Section: The N = 1 Bms 3 Superalgebramentioning

confidence: 99%

Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra

Dilxat¹,

Chen²,

Liu³

2023

Proceedings of the Royal Society of Edinburgh: Section A Mathem

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In this paper, we give a new method to classify all simple cuspidal modules for the $\mathbb {Z}$ -graded and $1/2\mathbb {Z}$ -graded Ovsienko–Roger superalgebras. Using this result, we classify all simple Harish–Chandra modules over some related Lie superalgebras, including the $N=1$ BMS $_3$ superalgebra, the super $W(2,2)$ , etc.

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Section: The N = 1 Bms 3 Superalgebramentioning

confidence: 99%