Fri - 01/26/24

There is no new related paper today

There is no new related paper today

  1. [2401.13730] - Supersymmetric Index for Small Black Holes - Chandramouli Chowdhury, Ashoke Sen, P. Shanmugapriya, Amitabh Virmani

  2. [2401.13900] - 3d gravity from Virasoro TQFT: Holography, wormholes and knots - Scott Collier, Lorenz Eberhardt, Mengyang Zhang

Thu - 01/25/24

There is no new related paper today

There is no new related paper today

  1. [2401.13510] - Quantum Gravity and Random Tensors - Razvan Gurau, Vincent Rivasseau

Wed - 01/24/24

There is no new related paper today

There is no new related paper today

  1. [2401.12816] - Ray-Singer Torsion, Topological Strings and Black Holes - Cumrun Vafa

Tue - 01/23/24

There is no new related paper today

Biquaternions, Majorana spinors and time-like spin-foams

  • Authors: José Diogo Simão
  • Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
  • Arxiv link: https://arxiv.org/abs/2401.10324
  • Abstract This work is developed in the context of Lorentzian spin-foams with space- and time-like boundaries. It is argued that the equations describing the semiclassical regime of the various spin-foam amplitudes admit a common biquaternionic structure. A correspondence is given between Majorana 2-spinors and time-like surfaces in Minkowski 3-space based on such complexified quaternions. A symplectic structure for Majorana spinors is constructed, with which the unitary representation theory of $\mathrm{SU}(1, 1)$ is re-derived. As the main result, we propose a symplectomorphism between Majorana spinor space (with an area constraint) and $T^*\mathrm{SU}(1, 1)$, generalizing previous studies on twisted geometries to the case of time-like 2-surfaces.

  1. [2401.10668] - Physically viable rotating mass solutions surrounding Kerr black hole - Stefano Viaggiu

  2. [2401.10327] - Affine Classical Lie Bialgebras for AdS/CFT Integrability - Niklas Beisert, Egor Im

  3. [2401.10336] - Line defects in conformal field theory: from weak to strong coupling - Julien Barrat

Mon - 01/22/24

There is no new related paper today

Biquaternions, Majorana spinors and time-like spin-foams

  • Authors: José Diogo Simão
  • Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
  • Arxiv link: https://arxiv.org/abs/2401.10324
  • Abstract This work is developed in the context of Lorentzian spin-foams with space- and time-like boundaries. It is argued that the equations describing the semiclassical regime of the various spin-foam amplitudes admit a common biquaternionic structure. A correspondence is given between Majorana 2-spinors and time-like surfaces in Minkowski 3-space based on such complexified quaternions. A symplectic structure for Majorana spinors is constructed, with which the unitary representation theory of $\mathrm{SU}(1, 1)$ is re-derived. As the main result, we propose a symplectomorphism between Majorana spinor space (with an area constraint) and $T^*\mathrm{SU}(1, 1)$, generalizing previous studies on twisted geometries to the case of time-like 2-surfaces.

  1. [2401.10668] - Physically viable rotating mass solutions surrounding Kerr black hole - Stefano Viaggiu

  2. [2401.10327] - Affine Classical Lie Bialgebras for AdS/CFT Integrability - Niklas Beisert, Egor Im

  3. [2401.10336] - Line defects in conformal field theory: from weak to strong coupling - Julien Barrat

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