https://doi.org/10.1140/epjc/s10052-025-14162-5
Regular Article - Theoretical Physics
Chiral 
-
symmetry of 3d conformal gravity
1
National Institute of Science Education and Research (NISER), 752050, Bhubaneswar, Odisha, India
2
Institute of Mathematical Sciences, Taramani, 600113, Chennai, India
3
Homi Bhabha National Institute, Anushakti Nagar, 400094, Mumbai, India
Received:
5
February
2025
Accepted:
5
April
2025
Published online:
29
April
2025
We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral - algebra as their asymptotic symmetry algebra. This algebra is one of the four chiral 
-algebra extensions of 
and is a generalisation of the chiral algebra responsible for soft theorems of graviton MHV amplitudes in 
gravity to the case of non-zero negative cosmological constant. The corresponding charges are shown to be finite and integrable, and realise this non-linear 
-algebra.
© The Author(s) 2025
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