Supersymmetry in Field Theory

General Features > s.a. dark matter; deformation quantization; modified quantum mechanics; supersymmetric theories.
* Idea: Bosons and fermions are related by Q_a B F_a, with all known particles in supersymmetric multiplets.
* Motivation: 2004, It provides a compelling solution to the gauge hierarchy problem by stabilizing the Higgs potential against divergent quantum corrections.
* Particle content: The numbers of boson and fermion states must be equal, since Q |B = |F and Q |F = |B; In gauge theories |s| < 1, so one considers only N 4, but with gravity N 8.
* Non-renormalization theorems: Results in supersymmetric field theory say that some quantities are not renormalized because all terms in the renormalization series cancel exactly; Useful for the Hierarchy Problem.

General References > s.a. monopoles; solitons; supergravity; susy phenomenology; symplectic structures.
@ I: Fayet Rech(88); Kane 00.
@ Intros: Lykken ht/96-ln; Van Proeyen ht/99-ln; Kane CP(00); Ketov ht/00 [motivation]; Bilal ht/01-ln; Polonsky LNP(01)hp [phenomenology]; Lindström ht/02-ln; Govaerts ht/04-in.
@ Books and reviews: Fayet & Ferrara PRP(81); Nilles PRP(84); del Águila et al ed-85; Nanopoulos RNC(85); Sohnius PRP(85); Freund 86; Ferrara 86; Srivastava 86; West ed-86; Müller-Kirsten & Wiedemann 87 [III]; West 90; Wess & Bagger 92; Piguet ht/96-ln; Seiberg ht/98-in; West ht/98; Weinberg 00; Mavromatos & Sarkar ed-NJP(02); Duplij et al ed-03; Binétruy 06; Terning 06; Dine 07; Shifman a0708-in.
@ Comments, history: Kane & Shifman ed-00; Zumino in(00), ht/05-in.
@ Articles: Gol'fand & Likhtman JETPL(71); Volkov & Akulov PLB(73); Wess & Zumino NPB(74); O'Raifeartaigh NPB(75).
@ Books, IV: Buchbinder & Kuzenko 95.
@ Books, mathematical: Cornwell 89; Freed 99.
@ Implementation in Hilbert space: Buchholz LNP(00)ht/98.
@ Non-renormalization theorems: Iliopoulos NPPS(01)ht.
@ Related topics: Fayet pr(80); Witten JDG(82); Di Stefano PLB(87); Ne'eman & Sternberg PNAS(90); De Jonghe et al PLB(95)ht [spin-1/2 particle around a monopole]; Luckock IJTP(97) [boundary terms in action]; Ichinose ht/03, a0710 [graphical representation].

Supersymmetry Breaking > s.a. anthropic; branes; cosmological constant.
* Idea: Supersymmetry cannot be exact at low energies, because particles in a supermultiplet have different masses.
* Result: Supersymmetry can only be broken by non-perturbative effects.
* Mechanisms: Either spontaneously by a Higgs-type mechanism, or dynamically; The coupling to the susy-breaking sector could be gaugino-, gravity-, gauge-, or anomaly-mediated.
@ Dynamical, rev: Skiba MPLA(97); Poppitz IJMPA(98); Thomas ht/98-in; Shadmi & Shirman RMP(00)ht/99; Luty ht/05-ln; Shadmi ht/06-ln.
@ Dynamical: Bertolami & Moniz gq/97-in [and quantum cosmology]; Bergamin & Minkowski ht/02 [effective description]; Golubev ht/07 [non-spontaneous].
@ Metastable: Kaplunovsky a0711 [and cosmology].
@ Anomaly-mediated: Chacko et al JHEP(00) [superconformal]; Roy MPLA(04); de Alwis PRD(08).
@ Models: Navarro MPLA(03) [low-scale]; Dine et al PRD(06)ht [simple]; Nomura & Papucci PLB(08).
@ Related topics: Huang PLB(86)ht/03 [no-go theorem]; Giudice & Rattazzi PRP(99) [gauge-mediated]; Tkach et al MPLA(99) [in cosmology]; Dine et al JHEP(05)ht [3 branches]; Sauli ht/05 ["natural"]; Chung et al PRP(05) [soft supersymmetry-breaking L]; Falkowski et al JHEP(05)ht [6D, gravity-mediated]; Intriligator & Seiberg JHEP(06)ht/05 [re string theory realizations], CQG(07)-ln [rev]; Gasperini a0805-GRF [restoring at TeV scale].

Modified Supersymmetric Theories > s.a. types of quantum field theories.
* Pseudo-supersymmetry: Arises in brane world models, where two branes preserve different halves of the bulk supersymmetry; Supersymmetry is broken, although each sector of the model is separately supersymmetric.
@ Fractional supersymmetry: Mohammedi MPLA(95); de Azcárraga & Macfarlane JMP(96)ht/95; Dunne et al IJMPA(97).
@ Parasupersymmetry: Tanaka AP(07) [quantum many-body systems]; > s.a. fock space [parasupersymmetric system].
@ And homotopy: Maumary & Ojima mp/00.
@ Non-linear realizations: Clark & Love PRD(04)ht [Goldstino and R-axion]; Love MPLA(05).
@ Non-commutative geometry: Hussain & Thompson PLB(91), PLB(91); Chamseddine PLB(94); Terashima PLB(00)ht; Habara PTP(03)ht/02.
@ Non-commutative supersymmetric Yang-Mills: Kalau & Walze JGP(97); Hashimoto & Itzhaki PLB(99)ht [AdS-cft], JHEP(99)ht [and ordinary].
@ Moyal-Weyl deformed: Ferrara & Lledó JHEP(00)ht.
@ Without Grassmann variables: Cahill JHEP(01)ht.
@ Origin of supersymmetry: Allen ht/00-in [from random fields]; Goh et al JHEP(05)ht/03, JHEP(06) [susy as emergent]; Allen et al a0711-in [from Planck-scale statistical theory].
@ Related topics: Devchand & Nuyts AIP(98)ht [Lorentz-covariant generalizations]; Klein PRD(02)ht, PRD(03)ht/02, ht/02-in [pseudo-supersymmetry]; Besnard mp/04 [number operator algebras]; Frampton MPLA(06)ht/05 [misaligned supersymmetry].

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Send feedback and suggestions to bombelli at olemiss.edu – Modified 27 jun 2008