Nearly AdS2 Sugra and the Super-Schwarzian

Abstract

In nearly AdS2 gravity the Einstein-Hilbert term is supplemented by the Jackiw-Teitelboim action. Integrating out the bulk metric gives rise to the Schwarzian action for the boundary curve. In the present note, we show how the extension to supergravity leads to the super-Schwarzian action for the superspace boundary.

10 pages, v2: minor error corrected, references added,v3: more references added, accepted for publication

References in corpus (8)

• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• The Bulk Dual of SYK: Cubic Couplings
• The complete $1/N$ expansion of a SYK--like tensor model
• Supersymmetric SYK model and random matrix theory
• A Supersymmetric SYK-like Tensor Model
• Random Matrices and Holographic Tensor Models
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Cited by in corpus (48)

• Solving the Schwarzian via the Conformal Bootstrap
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• On the Dynamics of Near-Extremal Black Holes
• An introduction to the SYK model
• The Schwarzian Theory - Origins
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Three Dimensional View of the SYK/AdS Duality
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Dispersive SYK model: band structure and quantum chaos
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Space-Time in the SYK Model
• Explorations of Non-Perturbative JT Gravity and Supergravity
• Universality and Thouless energy in the supersymmetric Sachdev-Ye-Kitaev Model
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• JT Supergravity, Minimal Strings, and Matrix Models
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
• Contrasting SYK-like Models
• Towards the Holographic Dual of N = 2 SYK
• Towards a Finite-$N$ Hologram
• Nonperturbative effects and resurgence in JT gravity at finite cutoff
• Boundary theories for dilaton supergravity in 2D
• Supersymmetric SYK Model with Global Symmetry
• A JT supergravity as a double-cut matrix model
• Breaking away from the near horizon of extreme Kerr
• Symmetries of the Black Hole Interior and Singularity Regularization
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Chaos and random matrices in supersymmetric SYK
• Exact Embeddings of JT Gravity in Strings and M-theory
• Degenerate operators in JT and Liouville (super)gravity
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Phase transitions for deformations of JT supergravity and matrix models
• Complete Solution of a Gauged Tensor Model
• Operational islands and black hole dissipation in JT gravity
• Branes in JT (super)gravity from group theory
• Supersymmetric Black Holes and the SJT/nSCFT${}_1$ Correspondence
• Gravitational wavefunctions in JT supergravity
• Les Houches lectures on two-dimensional gravity and holography
• Bound on Lyapunov exponent in $c=1$ matrix model
• Lyapunov exponents in $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim gravity
• Boundary Conditions for $\mathrm{Ad}{\mathrm{S}}_2$ Dilaton Gravity
• Off-diagonal coupling of supersymmetric SYK model
• Asymptotics of Weil-Petersson volumes and two-dimensional quantum gravities
• Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities