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Branes in JT (super)gravity from group theory

Andreas Belaey (UGent) , Francesca Mariani (UGent) and Thomas Mertens (UGent)
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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 (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 N=2 and N=4 cases.
Keywords
2d Gravity, Models of Quantum Gravity, Supergravity Models, GAUGE-THEORY, IRREDUCIBLE REPRESENTATIONS, LIOUVILLE THEORY, SUPERGRAVITY, GRAVITY, N=2

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MLA
Belaey, Andreas, et al. “Branes in JT (Super)Gravity from Group Theory.” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2, 2024, doi:10.1007/JHEP02(2024)058.
APA
Belaey, A., Mariani, F., & Mertens, T. (2024). Branes in JT (super)gravity from group theory. JOURNAL OF HIGH ENERGY PHYSICS, 2. https://doi.org/10.1007/JHEP02(2024)058
Chicago author-date
Belaey, Andreas, Francesca Mariani, and Thomas Mertens. 2024. “Branes in JT (Super)Gravity from Group Theory.” JOURNAL OF HIGH ENERGY PHYSICS 2. https://doi.org/10.1007/JHEP02(2024)058.
Chicago author-date (all authors)
Belaey, Andreas, Francesca Mariani, and Thomas Mertens. 2024. “Branes in JT (Super)Gravity from Group Theory.” JOURNAL OF HIGH ENERGY PHYSICS 2. doi:10.1007/JHEP02(2024)058.
Vancouver
1.
Belaey A, Mariani F, Mertens T. Branes in JT (super)gravity from group theory. JOURNAL OF HIGH ENERGY PHYSICS. 2024;2.
IEEE
[1]
A. Belaey, F. Mariani, and T. Mertens, “Branes in JT (super)gravity from group theory,” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2, 2024.
@article{01HQWS7BQ4PCDATA2X76WD00DD,
  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 (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 N=2 and N=4 cases.
}},
  articleno    = {{58}},
  author       = {{Belaey, Andreas and Mariani, Francesca and Mertens, Thomas}},
  issn         = {{1029-8479}},
  journal      = {{JOURNAL OF HIGH ENERGY PHYSICS}},
  keywords     = {{2d Gravity,Models of Quantum Gravity,Supergravity Models,GAUGE-THEORY,IRREDUCIBLE REPRESENTATIONS,LIOUVILLE THEORY,SUPERGRAVITY,GRAVITY,N=2}},
  language     = {{eng}},
  pages        = {{61}},
  title        = {{Branes in JT (super)gravity from group theory}},
  url          = {{http://doi.org/10.1007/JHEP02(2024)058}},
  volume       = {{2}},
  year         = {{2024}},
}

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