Abstract
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 (\( \mathcal{N} \) = 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 \( \mathcal{N} \) = 2 and \( \mathcal{N} \) = 4 cases.
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Acknowledgments
We thank A. Blommaert, Y. Fan, M. Heller, G.J. Turiaci and Q. Wu for discussions. TM thanks ETH Zurich and Matthias Gaberdiel in particular for hospitality during the early stages of this work. The authors acknowledge financial support from the European Research Council (grant BHHQG-101040024). Funded by the European Union. Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them.
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Belaey, A., Mariani, F. & Mertens, T.G. Branes in JT (super)gravity from group theory. J. High Energ. Phys. 2024, 58 (2024). https://doi.org/10.1007/JHEP02(2024)058
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DOI: https://doi.org/10.1007/JHEP02(2024)058