Supersymmetric 3D gravity with torsion: asymptotic symmetries
B. Cvetkovic, M. Blagojevic
TL;DR
This paper investigates the asymptotic symmetries of a supersymmetric 3D gravity theory with torsion, revealing a structure of two super-Virasoro algebras with distinct central charges.
Contribution
It extends the analysis of asymptotic symmetries to supersymmetric 3D gravity with torsion, identifying a super-Virasoro algebra structure with different central charges.
Findings
Asymptotic symmetry algebra consists of two super-Virasoro algebras.
The algebra features different central charges for each super-Virasoro component.
The study generalizes bosonic anti-de Sitter conditions to supersymmetric torsionful gravity.
Abstract
We study the structure of asymptotic symmetries in N=1+1 supersymmetric extension of three-dimensional gravity with torsion. Using a natural generalization of the bosonic anti-de Sitter asymptotic conditions, we show that the asymptotic Poisson bracket algebra of the canonical generators has the form of two independent super-Virasoro algebras with different central charges.
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