We review a 3d quantum gravity model, which incorporates massive spinning fields into the Euclidean path integral in a Chern-Simons formulation. Fundamental matter as defined in our previous preon model is recapped. Both quantum gravity and the particle model are shown to be derivable from the supersymmetric 3d Chern-Simons action. Forces-Matter unification is achieved.
References
[1]
Fayet, P. (2016) The Supersymmetric Standard Model. In: Acharya, B., et al., Eds., AdvancedSeriesonDirectionsinHighEnergyPhysics, World Scientific, 397-454. https://doi.org/10.1142/9789814733519_0020
[2]
Witten, E. (1988) 2 + 1 Dimensional Gravity as an Exactly Soluble System. NuclearPhysicsB, 311, 46-78. https://doi.org/10.1016/0550-3213(88)90143-5
[3]
Collier, S., Eberhardt, L. and Zhang, M. (2023) Solving 3D Gravity with Virasoro TQFT. SciPostPhysics, 15, Article 151. https://doi.org/10.21468/scipostphys.15.4.151
[4]
Castro, A., Lashkari, N. and Maloney, A. (2011) Publisher’s Note: A De Sitter Farey Tail [phys. Rev. D83, 124027 (2011)]. PhysicalReviewD, 84, Article ID: 089904. https://doi.org/10.1103/physrevd.84.089904
[5]
Anninos, D., Denef, F., Law, Y.T.A. and Sun, Z. (2022) Quantum De Sitter Horizon Entropy from Quasicanonical Bulk, Edge, Sphere and Topological String Partition Functions. JournalofHighEnergyPhysics, 2022, Article No. 88. https://doi.org/10.1007/jhep01(2022)088
[6]
Castro, A., Coman, I., Fliss, J.R. and Zukowski, C. (2023) Keeping Matter in the Loop in dS3 Quantum Gravity. JournalofHighEnergyPhysics, 2023, Article No. 120. https://doi.org/10.1007/jhep07(2023)120
[7]
Blau, M. and Thompson, G. (2013) Chern-Simons Theory on Seifert 3-Manifolds. JournalofHighEnergyPhysics, 2013, Article No. 33. https://doi.org/10.1007/jhep09(2013)033
[8]
Mariño, M. (2011) Lectures on Localization and Matrix Models in Supersymmetric Chern-Simons-Matter Theories. JournalofPhysicsA: MathematicalandTheoretical, 44, Article ID: 463001. https://doi.org/10.1088/1751-8113/44/46/463001
[9]
Bañados, M., Teitelboim, C. and Zanelli, J. (1992) Black Hole in Three-Dimensional Spacetime. PhysicalReviewLetters, 69, 1849-1851. https://doi.org/10.1103/physrevlett.69.1849
[10]
Bourne, R., Castro, A. and Fliss, J.R. (2025) Spinning up the Spool: Massive Spinning Fields in 3D Quantum Gravity. Journal of Physics A: Mathematical and Theoretical, 58, Article 025402. https://doi.org/10.1088/1751-8121/ad9e55
[11]
Kapustin, A., Willett, B. and Yaakov, I. (2010) Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter. JournalofHighEnergyPhysics, 2010, Article No. 89. https://doi.org/10.1007/jhep03(2010)089
[12]
Raitio, R. (1980) A Model of Lepton and Quark Structure. PhysicaScripta, 22, 197-198. https://doi.org/10.1088/0031-8949/22/3/002
[13]
Raitio, R. (2018) Supersymmetric Preons and the Standard Model. NuclearPhysicsB, 931, 283-290. https://doi.org/10.1016/j.nuclphysb.2018.04.021
[14]
Raitio, R. (2023) A Chern-Simons Model for Baryon Asymmetry. NuclearPhysicsB, 990, 116174. https://doi.org/10.1016/j.nuclphysb.2023.116174
[15]
Peccei, R.D. and Quinn, H.R. (1977) CP Conservation in the Presence of Pseudoparticles. PhysicalReviewLetters, 38, 1440-1443. https://doi.org/10.1103/physrevlett.38.1440
[16]
Raitio, R. (2024) The Fate of Supersymmetry in Quantum Field Theories. JournalofHighEnergyPhysics, GravitationandCosmology, 10, 609-620. https://doi.org/10.4236/jhepgc.2024.102038
[17]
Belich, H., Ferreira Jr., M.M., Helayël-Neto, J.A. and Del Cima, O.M. (2003) Electron-electron Bound States in Maxwell-Chern-Simons-Proca QED 3. TheEuropeanPhysicalJournalB—CondensedMatter, 32, 145-155. https://doi.org/10.1140/epjb/e2003-00083-9
[18]
Kogan, Y.I. (1989) Bound States of Fermions and Superconducting Ground State in a 2 + 1 Gauge Theory with a Topological Mass Term. JETP Letters, 49, 225.
[19]
Dobroliubov, M.I., Eliezer, D., Kogan, I.I., Semenoff, G.W. and Szabo, R.J. (1993) The Spectrum of Topologically Massive Quantum Electrodynamics. ModernPhysicsLettersA, 08, 2177-2188. https://doi.org/10.1142/s0217732393001902
[20]
Jacobson, T. and Sulejmanpasic, T. (2024) Canonical Quantization of Lattice Chern-Simons Theory. arXiv: 2401.09597. https://arxiv.org/pdf/2401.09597.pdf
[21]
Zhang, B. (2022) Abelian Chern-Simons Gauge Theory on the Lattice. PhysicalReviewD, 105, Article ID: 014507. https://doi.org/10.1103/physrevd.105.014507
[22]
Giombi, S., Maloney, A. and Yin, X. (2008) One-Loop Partition Functions of 3D Gravity. JournalofHighEnergyPhysics, 2008, Article 7. https://doi.org/10.1088/1126-6708/2008/08/007
[23]
Maldacena, J. and Strominger, A. (1998) AdS3 Black Holes and a Stringy Exclusion Principle. JournalofHighEnergyPhysics, 1998, Article 5. https://doi.org/10.1088/1126-6708/1998/12/005
[24]
Brown, J.D. and Henneaux, M. (1986) Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three Dimensional Gravity. CommunicationsinMathematicalPhysics, 104, 207-226. https://doi.org/10.1007/bf01211590
[25]
Witten, E. (1991) Quantization of Chern-Simons Gauge Theory with Complex Gauge Group. Communications in Mathematical Physics, 137, 29-66. https://doi.org/10.1007/bf02099116
