D=2 supergravity (changes) in nLab
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Context
Gravity
Formalism
Definition
Spacetime configurations
Properties
Spacetimes
| black hole spacetimes | vanishing angular momentum | positive angular momentum |
|---|---|---|
| vanishing charge | Schwarzschild spacetime | Kerr spacetime |
| positive charge | Reissner-Nordstrom spacetime | Kerr-Newman spacetime |
Quantum theory
Super-Geometry
superalgebra and (synthetic ) supergeometry
Background
Introductions
Superalgebra
Supergeometry
Supersymmetry
Supersymmetric field theory
Applications
Fields and quanta
fields and particles in particle physics
and in the standard model of particle physics:
matter field fermions (spinors, Dirac fields)
| flavors of fundamental fermions in the standard model of particle physics: | |||
|---|---|---|---|
| generation of fermions | 1st generation | 2nd generation | 3d generation |
| quarks (qq) | |||
| up-type | up quark (uu) | charm quark (cc) | top quark (tt) |
| down-type | down quark (dd) | strange quark (ss) | bottom quark (bb) |
| leptons | |||
| charged | electron | muon | tauon |
| neutral | electron neutrino | muon neutrino | tau neutrino |
| bound states: | |||
| mesons | light mesons: pion (udu d) ρ-meson (udu d) ω-meson (udu d) f1-meson a1-meson | strange-mesons: ϕ-meson (ss¯s \bar s), kaon, K*-meson (usu s, dsd s) eta-meson (uu+dd+ssu u + d d + s s) charmed heavy mesons: | bottom heavy mesons: B-meson (qbq b) ϒ-meson (bb¯b \bar b) |
| baryons | nucleons: proton (uud)(u u d) neutron (udd)(u d d) |
(also: antiparticles)
hadrons (bound states of the above quarks)
minimally extended supersymmetric standard model
bosinos:
dark matter candidates
Exotica
Contents
Idea
supergravity in dimension 2.
Properties
U-duality
The U-duality group (see there) of maximal 2d SuGra is E9 (its split real form or, quantumly, a discrete subgroup of that).
References
-
Hermann Nicolai: The integrability of N=16N=16 supergravity, Physics Letters B 194 3 (1987) 402-407 [doi:10.1016/0370-2693(87)91072-0, spire:21766]
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T. Fujiwara, Y. Igarashi, R. Kuriki, T. Tabei, BFV-BRST Quantization of 2D Supergravity (arXiv:hep-th/9502127)
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S. Bellucci, E. Ivanov, N=(4,4)N=(4,4), 2D supergravity in SU(2)×SU(2)SU(2)\times SU(2) harmonic superspace (arXiv:hep-th/0003154)
On maximal gauged D=2D=2 supergravity via KK-reduction of D=11 supergravity:
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Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Maximal D=2D=2 supergravities from higher dimensions [[arXiv:2309.07232](https://arxiv.org/abs/2309.07232)]
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Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Consistent truncation of eleven-dimensional supergravity on S 8×S 1S^8 \times S^1 [[arXiv:2309.07233](https://arxiv.org/abs/2309.07233)]
Last revised on November 5, 2024 at 16:15:08. See the history of this page for a list of all contributions to it.