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| Supersymmetric quantum field theory | |
|---|---|
| Name | Supersymmetric quantum field theory |
| Field | Theoretical physics |
| Developed | 1970s |
| Founders | Peter Woit, Sheldon Glashow, Steven Weinberg |
Supersymmetric quantum field theory is a class of quantum field theories that postulate a symmetry between fermionic and bosonic degrees of freedom, connecting representations of the Poincaré algebra with internal symmetries. Developed in the 1970s amid advances by researchers associated with institutions such as Princeton University, Harvard University, and the Institute for Advanced Study, the subject has driven research programs at laboratories including CERN, Fermilab, and SLAC National Accelerator Laboratory. Supersymmetric models influence experimental searches at facilities like the Large Hadron Collider and inform theoretical frameworks associated with General Relativity, Quantum Chromodynamics, and Electroweak interaction.
Supersymmetric quantum field theory arose from work by groups including researchers at Moscow State University, Stanford University, and California Institute of Technology who sought extensions of the Poincaré group compatible with quantum mechanics and relativistic invariance. Early constructions built on concepts from researchers affiliated with Niels Bohr Institute, Max Planck Institute for Physics, and the Yale University community, and they were influenced by developments in representations studied at Cambridge University and Ecole Normale Supérieure. Applications and phenomenological proposals appeared in literature circulated through venues such as the Physical Review Letters and conferences organized by International Centre for Theoretical Physics.
The core algebraic ingredient is a graded extension of the Poincaré group known as the supersymmetry algebra, whose generators transform under Lorentz representations studied in works associated with Albert Einstein and Hermann Weyl. Representations are organized into supermultiplets analogous to classification schemes used at Princeton University Press and in texts by authors from Oxford University Press. Supercharges obey anticommutation relations that close onto momentum operators, a structure paralleling mathematical developments linked to institutions such as the Royal Society and scholars active at the Institute for Advanced Study. Central extensions and R-symmetries echo constructions found in the representation theory advanced at University of Paris and influence index theorems explored by contributors connected to Harvard University.
Concrete models include Wess–Zumino-type constructions popularized in seminars at École Polytechnique, gauge theories with extended supersymmetry studied by groups at CERN and Brookhaven National Laboratory, and supersymmetric sigma models analyzed at symposia at ETH Zurich. Notable classes are minimal supersymmetric models inspired by proposals from researchers connected to University of Chicago and grand unified constructions discussed at Imperial College London. Extended constructions with N=2 and N=4 supersymmetry were developed in collaborations involving scholars from Rutgers University and University of California, Berkeley, and exact results often cite approaches whose lineage includes institutions like Kavli Institute for Theoretical Physics.
Mechanisms of spontaneous breaking were proposed in contexts affiliated with Los Alamos National Laboratory and discussed during workshops at DESY and Perimeter Institute for Theoretical Physics. Phenomenological frameworks such as the Minimal Supersymmetric Standard Model were debated at consortiums including Snowmass (particle physics) and motivated searches at the Large Hadron Collider. Model-building strategies reference experimental programs at ATLAS and CMS collaborations, as well as constraints from observatories like Fermilab Tevatron and neutrino experiments associated with Super-Kamiokande.
Nonperturbative methods revealed phenomena like confinement, monopole condensation, and domain walls in studies led by groups from Princeton University and University of Oxford. Dualities, including examples analogous to electric–magnetic duality explored in seminars at Stanford University and modular properties emphasized by researchers at Caltech, underpin exact solutions influenced by work tied to IHES and the Mathematical Sciences Research Institute. Seiberg–Witten-type results emerged from collaborations involving scholars associated with Harvard University and produced links to moduli space geometry treated in literature circulated by Cambridge University Press.
Supersymmetric quantum field theories serve as cornerstones in constructions of superstring models developed at CERN and Princeton University, and they provide conformal field theory examples central to the AdS/CFT correspondence introduced by researchers affiliated with Institute for Advanced Study and California Institute of Technology. D-brane realizations and worldvolume theories were formulated in collaborations spanning Stanford University and University of Chicago, informing dualities leveraged in projects at Perimeter Institute for Theoretical Physics and influencing mathematical programs at IHES.
Perturbative and nonperturbative computational techniques were refined in communities at SLAC National Accelerator Laboratory and Brookhaven National Laboratory, with renormalization schemes adapted to supersymmetric regularization prescriptions developed in seminars at Imperial College London. Lattice approaches, effective field theory methods, and localization techniques were advanced by researchers connected to Kavli Institute for Theoretical Physics and projects hosted by Simons Foundation, contributing to numerical explorations that interface with experimental programs at CERN and theoretical institutes such as Perimeter Institute for Theoretical Physics.