Supersymmetric Theories| Supersymmetric Theories |
Types of Theories
> s.a. types of field theories / modified
quantum mechanics [supersymmetric]; supersymmetric gauge theories.
* Wess-Zumino model:
The simplest model of global supersymmetry, with Lagrangian
L = − \(1\over2\)(∂a A)2 − \(1\over2\)(∂a B)2 − \(1\over2\)λ* (γ · ∂) λ,
with A a scalar, B a pseudoscalar, λ
of spin-1/2, λ*:= λ†
γ4.
@ General references: Haber & Haskins TASI(18)-a1712 [intro].
@ Wess-Zumino model:
Wess & Zumino NPB(74);
Girotti et al NPB(00)ht [non-commutative];
Britto & Feng PRL(03) [N = 1/2 is renormalizable];
Ritter CMP(04)ht/03 [vacuum geometry];
Synatschke et al a0909-proc [phase diagram];
Dimitrijević et al PRD(10)-a1001 [deformed];
Yu & Yang PRL(10)
[simulation with cold atom-molecule mixtures in 2D optical lattices];
Frasca JNMP(13)-a1308 [massless, classical solutions];
> s.a. supersymmetry breaking.
@ Wess-Zumino-Witten model:
Witten NPB(83),
CMP(84);
Gawedzki ht/99-ln;
Lugo PLB(01),
Moreno & Schaposnik NPB(01) [non-commutative];
Gawedzki et al CMP(04)ht/01 [boundary theory, canonical quantization];
Arcioni et al JGP(04) [on random Regge triangulations];
Liao PRD(06) [in odd-dimensional spacetime];
> s.a. bundle [gerbes].
@ Supersymmetric extension of local Lorentz symmetry:
Abe & Nakanishi IJMPA(89),
IJMPA(90).
@ Emergent supersymmetry: Jackiw & Polychronakos PRD(00)ht [fluid dynamics];
Goh et al JHEP(05)ht/03,
JHEP(06);
Lee PRB(07)cm/06 [in a lattice model at a quantum critical point];
Lee a1009-ln [in condensed-matter systems];
Huijse et al PRL(15)-a1403 [1+1 dimensional models];
Gao & Liu JHEP(18)-a1701;
Zhao & Liu npjQM(19)-a1706 [supersymmetry (non-)emergence at a quantum critical point].
@ Spin chains:
Kagan & Young NPB(08);
Hagendorf JSP(13)-a1207 [with dynamical lattice supersymmetry].
@ 3D theories:
Awad & Faizal JHEP(15)-a1503 [3D scalar field theories];
Cottrell et al JHEP(16)-a1509 [and their gravity duals].
@ Other theories:
Andreev JRLR(92) [2-level systems];
Metz et al PRL(99)
+ pn(99)aug [nuclear physics];
Rupp et al NPB(01) [non-linear realizations];
Requardt IJGMP(05)mp/04 [on graphs/networks];
Ho & Tanaka AP(06) [Schrödinger, Pauli, Dirac equations];
Correa & Plyushchay AP(07) [hidden supersymmetry in bosonic systems];
news pw(08)mar [in ultracold atoms, proposal];
Horváthy et al PRD(10)-a1004 [between Jackiw-Nair and Dirac-Majorana anyons];
Fendley & Hagendorf JSM(11)-a1011 [fermion chain, ground state];
Fan et al JHEP(12) [stealth supersymmetry];
Wu et al a1812 [fermion-boson symmetry];
> s.a. higher-spin theories; sigma models;
stochastic quantum mechanics.
> Related topics : see Axinos;
boundaries in field theory.
Modified Supersymmetric Theories
> s.a. types of quantum field theories.
* Pseudo-supersymmetry: It
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].
@ 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;
Beenakker et al a1409 [almost commutative geometries],
a1409 [supersymmetry breaking].
@ 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.
@ In curved spaces: Kehagias & Russo NPB(13)-a1211 [d-dimensional];
Dumitrescu a1608-in [intro].
@ Other generalizations:
Devchand & Nuyts AIP(98)ht [Lorentz-covariant generalizations];
Maumary & Ojima mp/00 [and homotopy];
Klein PRD(02)ht,
PRD(03)ht/02,
ht/02-conf [pseudo-supersymmetry];
Besnard mp/04 [number-operator algebras];
Frampton MPLA(06)ht/05 [misaligned supersymmetry];
Álvarez et al PLB(14)-a1306,
Symm(21)-a2104 [unconventional representation, without supersymmetric partners];
Ho a1506 [off-shell supersymmetry];
Meyer et al JHEP(17)-a1703 [non-relativistic supersymmetric field theories];
> s.a. Supersymmetry [non-associative].
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