Boundary theories for dilaton supergravity in 2D

Abstract

The $\mathfrak{osp}(2,N)$-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 group allows to formulate suitable integrability conditions for the boundary terms that render the variational principle well-defined. Once regularity conditions are imposed, requiring trivial holonomy around the contractible cycle the asymptotic symmetries are broken to some subsets of exact isometries. Different coadjoint orbits of the asymptotic symmetry group yield different types of boundary dynamics; we find that the action principle can be reduced to either the extended super-Schwarzian theory, consistent with the dynamics of a non-vanishing Casimir function, or to superparticle models, compatible with bulk configurations whose Casimir is zero. These results are generalized to $\mathcal{N}\ge 3$ by making use of boundary conditions consistent with the loop group of OSp$(2,N)$. Appropriate integrability conditions permit to reduce the dynamics of dilaton supergravity to a particle moving on the OSp$(2,N)$ group manifold. Generalizations of the boundary dynamics for $\mathcal{N}>2$ are obtained once bulk geometries are supplemented with super-AdS${}_2$ asymptotics.

arXiv comment40 pages, no figures

References in corpus (28)

• The World as a Hologram
• Comments on the Sachdev-Ye-Kitaev model
• Dilaton Gravity in Two Dimensions
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Local subsystems in gauge theory and gravity
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Geometric entropy and edge modes of the electromagnetic field
• The Schwarzian Theory - Origins
• Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity
• Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
• Exact Path Integral Quantization of Generic 2-D Dilaton Gravity
• Chemical potentials in three-dimensional higher spin anti-de Sitter gravity
• Menagerie of AdS${}_2$ boundary conditions
• Nearly AdS2 Sugra and the Super-Schwarzian
• Towards a bulk description of higher spin SYK
• AdS_2 Supergravity and Superconformal Quantum Mechanics
• Towards the Holographic Dual of N = 2 SYK
• Edge States in Gauge Theories: Theory, Interpretations and Predictions
• Supersymmetric SYK Model with Global Symmetry
• $\mathcal{N}=2$ SYK model in the superspace formalism
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
• Supersymmetric black holes in 2D dilaton supergravity: baldness and extremality
• Aspects of AdS${}_2$ holography with non-constant dilaton
• Quantization of 2D dilaton supergravity with matter
• $Ad{S}_2$ holography is (non-)trivial for (non-)constant dilaton
• Physics-to-gauge conversion at black hole horizons
• Zoology of heterotic supercurrent supermultiplets in d=2

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