Lyapunov exponents in $\mathbf{{\cal N}=2}$ supersymmetric Jackiw-Teitelboim gravity

Delgado, Ruben Campos; Förste, Stefan

doi:10.48550/arxiv.2209.15456

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Jhep02(2024)0581

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2024

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“…Supersymmetric versions of JT gravity have been defined and studied alongside the bosonic model ever since its conception, see e.g. [47,48] and [49][50][51] for relevant recent work on the boundary super-Schwarzian descriptions of these models. We distinguish the N = 1, 2, 4 supersymmetric models.…”

Section: Jhep02(2024)058mentioning

confidence: 99%

Branes in JT (super)gravity from group theory

Belaey,

Mariani,

Mertens

2024

J. High Energ. Phys.

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In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic ingredient for a closed EOW brane as a discrete series character, we use the group theory framework as a guide towards formulating the analogous supersymmetric problem. We compute these amplitudes explicitly in the supersymmetric generalizations of JT gravity ($$ \mathcal{N} $$ N = 1, 2, 4), motivated by the prospective of possibly finite amplitudes. In the process, we develop some of the representation theory of OSp(2|2, ℝ) and PSU(1, 1|2), relevant for the $$ \mathcal{N} $$ N = 2 and $$ \mathcal{N} $$ N = 4 cases.

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