{"arxiv_id":"gr-qc/9506019","incoming":{"papers":172,"sentences":301,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1912.09465","title":"Asymptotic dynamics of AdS$_3$ gravity with two asymptotic regions","url":"/paper/1912.09465","section":"Action","sentence":"As discussed in [ref] , the boundary condition relevant to $AdS_3$ gravity with $AdS$ boundary conditions is[Note a typo in (2) of [ref] , where the last term should be $+2 A_0 F_r φ$, instead of $- A_0 F_r φ$.","intent_p":0.47,"contests_p":0.86}]},{"kind":"extends","label":"Builds on it","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2010.15452","title":"Weyl Charges in Asymptotically Locally AdS$_3$ Spacetimes","url":"/paper/2010.15452","section":"Chern–Simons Formulation","sentence":"This Appendix extends to our boundary conditions results obtained originally in [ref] and further discussed in [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2409.04525","title":"Fractons on curved spacetime in $2+1$ dimensions","url":"/paper/2409.04525","section":"Charges and asymptotic symmetries","sentence":"Indeed, based on the results in [ref] , after a suitable gauge transformation, it would be possible to write a set of asymptotic conditions in the flat space analogue of the highest weight gauge [ref] , where [equation] Here $ℓ$ is the $AdS$ radius related to the cosmological constant by $=-ℓ^-2$.","intent_p":0.87,"contests_p":null},{"arxiv_id":"2403.16567","title":"Higher-spin gauge theories in three spacetime dimensions","url":"/paper/2403.16567","section":"Asymptotically AdS solutions: the Drinfeld–Sokolov reduction","sentence":"The conditions [ref], [ref] and [ref] can be extended verbatim to higher-spin theories in the Chern–Simons formulation [ref] and this will be our definition of asymptotically AdS$_3$ field configurations.[The Brown–Henneaux boundary conditions were first translated in the Chern–Simons formulation in slightly different terms in [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1008.4744","title":"Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields","url":"/paper/1008.4744","section":"Conclusions","sentence":"At the classical level the Drinfeld-Sokolov reduction methods suggest that the relation between three-dimensional gravity and Liouville theory [ref] can be extended to a more general relation between three-dimensional higher-spin gauge theories and Toda theories.","intent_p":0.95,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":21,"sentences":22,"quotes":[{"arxiv_id":"2608.14541","title":"Building a Quantum Black Hole Microstate: A Bulk Path Integral for a Heavy Virasoro Primary","url":"/paper/2608.14541","section":"Strategy: Quantize-then-Reduce","sentence":"The one-unit spectrally flowed Drinfel'd-Sokolov (DS) reduction appropriate to the Brown-Henneaux boundary conditions on the cylinder [ref] is then used to pass from this affine module to the physical Virasoro module.","intent_p":0.91,"contests_p":null},{"arxiv_id":"2012.05726","title":"$T\\bar{T}/J\\bar{T}$-deformed WZW models from Chern-Simons AdS$_3$ gravity with mixed boundary conditions","url":"/paper/2012.05726","section":"Equivalence to $TT̅$-deformed non-chiral WZW action","sentence":"By using the usual technique in [ref] , we will verify this in this subsection.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1101.2910","title":"Symmetries of Holographic Minimal Models","url":"/paper/1101.2910","section":"λ from Asymptotic Symmetries","sentence":"To compute the asymptotic algebra we apply the formalism of [ref] to the Chern-Simons formulation of higher spin gravity.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2304.06761","title":"Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited","url":"/paper/2304.06761","section":"Hamiltonian 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[ref] in section [ref] and conclude that these approaches are technically and physically inequivalent.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1411.7873","title":"Liouville theory beyond the cosmological horizon","url":"/paper/1411.7873","section":"Introduction and outline","sentence":"This distinction leads to some new features of the Hamiltonian reduction to Liouville theory with respect to previous treatments [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1912.09465","title":"Asymptotic dynamics of AdS$_3$ gravity with two asymptotic regions","url":"/paper/1912.09465","section":"Boundary conditions","sentence":"This is much more natural than the combination of the chiral bosons associated with the different $SL(2, ℝ)$ factors at the same boundary considered in [ref] , because these do not share the same zero modes.","intent_p":0.89,"contests_p":null},{"arxiv_id":"2006.08216","title":"Gravitational dual of averaged free CFT's over the Narain 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.","intent_p":0.9,"contests_p":null},{"arxiv_id":"2006.10514","title":"$T\\bar{T}$ deformation of chiral bosons and Chern-Simons AdS$_3$ gravity","url":"/paper/2006.10514","section":"AdS$_3$ Chern-Simons theory","sentence":"Let us recall the connection between AdS$_3$ gravity and the chiral WZW model derived in [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2211.05806","title":"Holography for bulk states in 3D quantum gravity","url":"/paper/2211.05806","section":"Reconstruction of the Lorentzian boundary Liouville field","sentence":"It is well-known from the work [ref] of Coussaert, Henneaux and van Driel that (2+1)D AdS gravity in the presence of a single conformal boundary can be reformulated in terms of a Lorentzian[See [ref] for the role of boundary Liouville theory in Euclidean spacetinmes.] Liouville field $_B$ living on the boundary.","intent_p":0.93,"contests_p":null},{"arxiv_id":"2406.05386","title":"The near horizon dynamics in three-dimensional Einstein 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