A chiral Λ-bms4 symmetry of AdS4 gravity

Generalising the chiral boundary conditions of R1,3 gravity for AdS4 gravity, we derive chiral locally AdS4 solutions in the Newman-Unti gauge consistent with a variational principle whose asymptotic symmetry algebra we show, to be an infinite-dimensional chiral extension of so(2,3). This symmetry a...

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Main Authors: Nishant Gupta, Nemani V. Suryanarayana
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324003250
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author Nishant Gupta
Nemani V. Suryanarayana
author_facet Nishant Gupta
Nemani V. Suryanarayana
author_sort Nishant Gupta
collection DOAJ
description Generalising the chiral boundary conditions of R1,3 gravity for AdS4 gravity, we derive chiral locally AdS4 solutions in the Newman-Unti gauge consistent with a variational principle whose asymptotic symmetry algebra we show, to be an infinite-dimensional chiral extension of so(2,3). This symmetry algebra coincides with the chiral bms4 algebra in the flat space limit with the corresponding solutions mapping to the space of gravitational vacua in R1,3 gravity. We posit this symmetry algebra as the chiral version of recently discovered Λ-bms4 algebra. We propose line integral charges from the bulk AdS4 gravity associated with this asymptotic symmetry algebra and show that they obey the semi-classical limit of a W-algebra. We derive this W-algebra for finite central charge c and level κ using associativity constraints of 2d CFT and find it to be isomorphic to one of quasi-superconformal algebra that existed in the literature.
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spelling doaj-art-9cff2f6fb49d4ee68f7913920f5b1afc2025-01-10T04:37:48ZengElsevierNuclear Physics B0550-32132025-01-011010116759A chiral Λ-bms4 symmetry of AdS4 gravityNishant Gupta0Nemani V. Suryanarayana1Institute of Mathematical Sciences, Taramani, Chennai 600113, India; Homi Bhabha National Institute, Anushakti Nagar, India; Corresponding author.Institute of Mathematical Sciences, Taramani, Chennai 600113, India; Homi Bhabha National Institute, Anushakti Nagar, IndiaGeneralising the chiral boundary conditions of R1,3 gravity for AdS4 gravity, we derive chiral locally AdS4 solutions in the Newman-Unti gauge consistent with a variational principle whose asymptotic symmetry algebra we show, to be an infinite-dimensional chiral extension of so(2,3). This symmetry algebra coincides with the chiral bms4 algebra in the flat space limit with the corresponding solutions mapping to the space of gravitational vacua in R1,3 gravity. We posit this symmetry algebra as the chiral version of recently discovered Λ-bms4 algebra. We propose line integral charges from the bulk AdS4 gravity associated with this asymptotic symmetry algebra and show that they obey the semi-classical limit of a W-algebra. We derive this W-algebra for finite central charge c and level κ using associativity constraints of 2d CFT and find it to be isomorphic to one of quasi-superconformal algebra that existed in the literature.http://www.sciencedirect.com/science/article/pii/S0550321324003250
spellingShingle Nishant Gupta
Nemani V. Suryanarayana
A chiral Λ-bms4 symmetry of AdS4 gravity
Nuclear Physics B
title A chiral Λ-bms4 symmetry of AdS4 gravity
title_full A chiral Λ-bms4 symmetry of AdS4 gravity
title_fullStr A chiral Λ-bms4 symmetry of AdS4 gravity
title_full_unstemmed A chiral Λ-bms4 symmetry of AdS4 gravity
title_short A chiral Λ-bms4 symmetry of AdS4 gravity
title_sort chiral λ bms4 symmetry of ads4 gravity
url http://www.sciencedirect.com/science/article/pii/S0550321324003250
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