Boson-fermion symmetry generators (SUSY): MSSM Minimal Supersymmetric Standard Model; superspace; sfermions / gauginos; SUSY-breaking; LHC searches; phenomenology. COV7 frontier-acknowledged-absent now upgraded to standard.
supersymmetry
SUSY algebra (graded Lie)
Wess-Zumino 1974 / Gol'fand-Likhtman 1971: supersymmetric extension of Poincaré with fermionic generators Q_α satisfying {Q_α, Q̄_β̇} =…
MSSM
Haber-Kane 1985: minimal supersymmetric SM with two Higgs doublets + R-parity. ~120 parameters. Predicts sfermions / gauginos / Higgsinos.…
Superspace + superfield
Salam-Strathdee 1974: extend space-time by Grassmann-coordinates θ, θ̄. Superfields = functions on superspace. Chiral / vector / tensor…
SUSY breaking + mediation
If SUSY were exact, sparticles same mass as SM. Must be broken: gravity-mediated / gauge-mediated / anomaly-mediated. Soft-SUSY-breaking…
LHC SUSY searches (null results)
ATLAS + CMS Run-1+Run-2 (2010-2018): no clear-signal of squarks / gluinos below ~2 TeV. Null results push naturalness-tension on MSSM.…
SUSY dark matter (neutralino)
Lightest neutralino χ̃₀₁ as WIMP-DM candidate from R-parity-conserved MSSM. Relic-abundance from freeze-out at T~m/20. Direct (XENONnT) +…
Anomaly cancellation in MSSM
MSSM has automatic anomaly-cancellation due to two Higgs doublets balancing chiral-fermion content. Underlies extension to GUT (SU(5) /…
Rigid SUSY vs supergravity
Rigid SUSY: parameters constant. Supergravity (Freedman-van Nieuwenhuizen-Ferrara 1976): local-SUSY → graviton + gravitino. N-extended SUSY…
Non-renormalisation theorems (Seiberg)
Seiberg 1993 holomorphy + symmetry: superpotential W not renormalised perturbatively. Allows exact-results in N=1 / N=2 / N=4 SUSY.…
Seiberg-Witten theory (N=2)
Seiberg-Witten 1994: exact-low-energy effective-action of N=2 SU(2) gauge theory determined by elliptic-curve. Monopole-condensation +…
SUSY in string theory
Critical dimension D=10 for superstring (vs D=26 bosonic). Type-IIA / IIB / I / heterotic 5 string-theories. M-theory unifies in 11D.…
Higgs naturalness + hierarchy problem
Bare-Higgs-mass quadratically-divergent without SUSY/extra-dim/composite-Higgs cancellation. Hierarchy problem mass scale ~10^{-17}. SUSY…
SUSY (Wess-Zumino 1974)
Wess-Zumino 1974 4D N=1 SUSY model; modern MSSM as Standard Model extension; LHC searches null-results constrain m_susy > 1 TeV.
HLS theorem (1975)
Haag-Lopuszanski-Sohnius 1975: SUSY only graded-extension of Poincare consistent with QFT; foundational uniqueness theorem.
SUSY breaking
F-term + D-term breaking + gravity + gauge + anomaly mediation; modern split-SUSY + sneutrino + AMSB scenarios; null at LHC.
Seiberg duality (1995)
N Seiberg 1995 N=1 electric-magnetic duality; modern strong-coupling tools; basis of nonperturbative gauge-theory understanding.
Supergravity (Cremmer-Julia 1978)
Cremmer-Julia 1978 11D supergravity; modern M-theory + AdS/CFT supergravity-limit; foundational connection to string theory.
SUSY dark matter
Lightest-SUSY-particle (LSP) neutralino as DM candidate; modern XENONnT + LZ rule out >~ 1 TeV WIMP cross-section; SUSY-DM under pressure.