Boundary theories for dilaton supergravity in 2D

Abstract

The osp(2, N )-BF formulation of dilaton supergravity in two dimensions is considered. We introduce a consistent class of asymptotic conditions preserved by the extended superreparametrization group of the thermal circle at infinity. In the N = 1 and N = 2 cases the phase space foliation in terms of orbits of the super-Virasoro

New boundary conditions for (extended) AdS 3 supergravity

“…Then, we need to perform a new Sugawara shift such that the asymptotic symmetry algebra is the semidirect sum of a super-Virasoro and the osp (1 | 2) k algebra. Another boundary conditions that can be explored are the ones obtained in the context of two-dimensional Jackiw-Teitelboim gravity [30] where we only set to zero one fermion charge and leave all bosons to vary.…”

“…In addition, all other previously found boundary conditions were obtained imposing some restrictions on the most general ones. This procedure has also been applied to three-dimensional flat-space [27], chiral higher spin gravity [28] and in the context of (supersymmetric) two-dimensional gravity [29], [30]. The aim of this paper is to extend the analysis of [26] to three-dimensional AdS supergravity: We obtain the asymptotic symmetry algebra for the loosest set of boundary conditions for (extended) supergravity, reproduce some old results and also show new boundary conditions related to warped super-conformal algebras.…”

On OSp(N |2) superconformal mechanics

“…2, the case N = 4 is special because the algebra so(4) is the direct sum of two copies of so(3) and can be presented by the matrices (12) with the properties (13) and (14). In the general case, the only decomposition of the so(N) algebra on so(N − 1) and the set of operators generating coset is given by (5), which leads to the anticommutation property (44) and to the result (45).…”

“…One-dimensional superconformal systems can be thought of as the limiting case of the higher-dimensional analogues which capture silent features of the latter in a simpler context. Typically one is concerned with one-dimensional (super)conformal mechanics because they provide dual theories for two-dimensional gravity [1,2,3,4,5]. On the other hand, they are of interest on their own.…”

Supersymmetric black holes and the SJT/nSCFT1 correspondence

“…In the present paper, we will be interested in the N = (2, 2) configuration of which further aspects have been studied in e.g. in [21][22][23][24][25][26][27][28][29][30][31][32][33].…”