Supersymmetry in Field Theory| Supersymmetry in Field Theory |
General Features > s.a. modified quantum mechanics;
supersymmetric theories; Supersymmetry.
* Idea: Bosons and
fermions are related by Qa
B ~ Fa,
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\(\rangle\) = |F\(\rangle\) and Q
|F\(\rangle\) = |B\(\rangle\); 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. dark
matter; monopoles; solitons;
supergravity; supersymmetry phenomenology;
symplectic structures.
@ I: Fayet Rech(88);
Kane 00.
@ Intros:
Łopuszański 90 [lecture notes];
Lykken ht/96-ln;
Martin hp/97;
Kane ed-98;
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-proc;
Kane ed-10;
Vallejo a1205.
@ Books and reviews:
Fayet & Ferrara PRP(81);
Nilles PRP(84);
del Águila et al ed-85;
Nanopoulos RNC(85);
Sohnius PRP(85);
Freund 86;
Srivastava 86;
West ed-86;
Ferrara 87;
West 90;
Wess & Bagger 92;
Piguet ht/96-ln;
Seiberg ht/98-proc;
West ht/98;
Weinberg 00;
Mavromatos & Sarkar ed-NJP(02);
Duplij et al ed-03;
Binétruy 06; Terning 06;
Aitchison 07;
Shifman a0708-proc;
Wess EPJC(09)-a0902;
Müller-Kirsten & Wiedemann 10 [III];
Cecotti 15;
Dine 16;
Nath 16;
Manoukian 16;
Tachikawa a1812-ln.
@ Comments: Kane & Shifman ed-00;
Zumino in(00),
FdP(06)ht/05-conf;
> s.a. history of particle physics.
@ Articles: Gol'fand & Likhtman JETPL(71);
Volkov & Akulov PLB(73);
Wess & Zumino NPB(74) [supergauge transformations].
@ Books, advanced / mathematical: Cornwell 89;
Buchbinder & Kuzenko 95;
Freed 99.
@ Non-renormalization theorems: Iliopoulos NPPS(01)ht.
@ Approaches: Luckock IJTP(97) [boundary terms in the action];
Buchholz LNP(00)ht/98 [in Hilbert space];
Ichinose ht/03,
a0710-proc [graphical representation];
Baianu et al Sigma(09)-a0904 [algebraic-topology approach];
Moriya AHP-a1001 [C*-algebra approach];
Freedman et al FdP(17)-a1609 [geometric].
@ Quantization: Batalin & Lavrov IJMPA(16)-a1603 [Hamiltonian, in terms of quantum antibrackets];
> s.a. deformation quantization.
@ Origin of supersymmetry:
Allen ht/00-proc [random fields];
Allen et al proc(08)-a0711 [Planck-scale statistical theory];
> s.a. supersymmetric theories [emergent].
@ 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];
Klinker CMP(05)-a2001 [supergeometry and supersymmetry];
László a1801-proc [possible alternative].
> Alternatives:
see conformal invariance in physics.
Supersymmetry Breaking > s.a. anthropic principle;
branes; gauge theories [emergent];
supersymmetry phenomenology [cosmology].
* 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 supersymmetry-breaking sector could be gaugino-, gravity-, gauge-,
or anomaly-mediated.
* O'Raifeartaigh model:
A model for spontaneous supersymmetry breaking using N
interacting scalar superfields.
@ Reviews: Skiba MPLA(97);
Poppitz IJMPA(98);
Thomas ht/98-proc;
Shadmi & Shirman RMP(00)ht/99;
Luty ht/05-ln;
Shadmi ht/06-ln;
Intriligator & Seiberg CQG(07)-ln;
Dine & Mason RPP(11)-a1012;
Dine a1102-ln.
@ General references: Huang PLB(86)ht/03 [no-go theorem];
Dine et al JHEP(05)ht [3 branches];
de Alwis PLB(12)-a1110 [unified approach].
@ Dynamical:
Bertolami & Moniz gq/97-MG8 [and quantum cosmology];
Bergamin & Minkowski ht/02 [effective description];
Golubev ht/07 [non-spontaneous];
Dine NPPS(09) [gauge mediation, and LHC].
@ Metastable: Kaplunovsky AIP(07)-a0711 [and cosmology].
@ Anomaly-mediated:
Chacko et al JHEP(00) [superconformal];
Roy MPLA(04);
de Alwis PRD(08).
@ Models: O'Raifeartaigh NPB(75);
Navarro MPLA(03) [low-scale];
Dine et al PRD(06)ht [simple];
Nomura & Papucci PLB(08);
Giveon et al NPB(09)-a0904 [in lower dimensions];
Gies et al PRD(09)-a0906 [2D Wess-Zumino model, as a quantum phase transition];
Ovchinnikov et al MPLB(16)-a1404 [topological];
> s.a. Barbero-Immirzi Parameter.
@ Related topics:
Giudice & Rattazzi PRP(99) [gauge-mediated];
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];
Gasperini IJMPD(09)-a0805-GRF [restoring at TeV scale];
Chkareuli PLB(13)-a1212-conf [spontaneous breaking and emergent gauge theories].
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