Fields with Higher or Arbitrary Spin| Fields with Higher or Arbitrary Spin |
In General
> s.a. anti-de sitter space; boundaries
in field theory; types of gauge theories [including continuous spin] and
quantum field theories.
* Problem: Fields with spin
higher than 2 do not couple satisfactorily to spin-2 and other fields,
in flat spacetime; However, spaces with constant curvature that occur in
the presence of a cosmological constant provide a loophole that allows
construction of consistent higher-spin generalizations of gravity.
@ Intros, reviews: Sorokin AIP(05)ht/04;
Bouatta et al ht/04-conf;
Rahman a1307-ln [intro].
@ Lagrangians: Francia & Sagnotti PLB(05)ht;
Francia NPB(08) [massive, arbitrary s];
Fotopoulos & Tsulaia IJMPA(09)-a0805-fs [free and interacting, gauge-invariant, BRST approach];
Buchbinder et al MPLA(11)-a1101 [manifolds with consistent Lagrangian formulations];
Bandelloni IJGMP(11);
Koch & Rojas a1107;
Buchbinder & Reshetnyak NPB(12)-a1110,
Reshetnyak NPB(13)-a1211 [with arbitrary index symmetry];
Joung & Mkrtchyan JHEP(12) [higher-derivative actions];
Arias et al proc(17)-a1603 [3D and 4D, based on Chern-Simons and BF models];
Canarutto IJGMP(18)-a1704 [1st-order Lagrangian theory];
Reshetnyak JHEP(18)-a1803 [constrained BRST-BFV approach].
@ Interactions: Sagnotti a1002-conf [and currents];
Manvelyan et al NPB(11)-a1002 [cubic self-interactions];
Taronna JHEP(12)-a1107 [consistent interactions];
Buchbinder et al NPB(13)-a1308 [coupling to scalars: interaction and causality];
NPB(14)-a1307 [non-minimal];
Bandelloni IJGMP(15)-a1502 [interacting with a geometrical background];
Boulanger et al JPA(16)-a1508.
@ Inconsistencies, restrictions: Dayi IJMPA(97)ht/96;
Sudarshan FP(03) [rev];
Afkhami-Jeddi et al a1811
[no-go result on particles with s > 2 coupled to gravity];
Dierigl & Dvali a1907 [entropy constraints].
@ Majorana equation / theory:
Majorana NC(32) [infinite-component equation];
Plyushchay EJTP(06)mp [anyons];
Nanni APTA-a1503 [Majorana's theory of particles with arbitrary spin];
Parrochia a1907 [hist].
@ General references:
Fierz & Pauli PRS(39);
Rarita & Schwinger PR(41);
Schwinger 70,
73;
Biritz IJTP(79) [massive];
Henneaux & Teitelboim in(89);
Illge CMP(93);
Grigore ht/94;
Fedoruk & Ivanov CQG(06),
PAN(08)ht/07-proc ['master' system];
Bastianelli et al JHEP(07)ht [worldline perspective];
Engquist & Hohm JHEP(08) [frame formalism];
Dvoeglazov JPCS(07)ht,
a1011-conf
[generalized Bargmann-Wigner formalism];
Tóth IJMPA(14) [fields with reversed spin-statistics relation];
Simulik a1509 [covariant field equations];
Kirchbach & Banda Guzmán JPCS(16)-a1610 [universal description];
Bellazzini et al a1903 [massive, effective field theory].
@ History: Esposito AP(12)-a1110 [Majorana, Dirac, Fierz-Pauli, Bhabha, etc].
Special Types of Theories and Backgrounds
> s.a. low-spin fields; types of spinors
[including classification] / theories of gravity [higher-spin].
@ General references:
Gornik & Mankoč Borštnik HJ(03)ht/01,
ht/01 [m = 0, even D];
Bastianelli et al JHEP(08) [in (A)dS];
Fotopoulos & Tsulaia IJMPA(08) [gauge-invariant Lagrangians, BRST approach];
JHEP(14)-a1407 [odd D, actions];
Stokes & Bennett NJP(15)-a1411 [massless, unified physical boundary conditions];
Gersten & Moalem JPCS(15)-a1601 [massless, consistent quantization];
Sorokin & Tsulaia a1710 [massless higher-spin, tensorial, matrix or hyperspace approach];
Didenko et al JHEP(18)-a1712 [Lorentz-covariant].
@ 3D theories:
Lucena a1307-ln;
Afshar PRL(13)-a1307 [in 3D flat space];
Lucena a1406-PhD [with fermions].
@ Diffeomorphism-invariant: Pons et al PRD(97)gq/96 [gauge transformations];
Bordemann & Hoppe JMP(98);
Barbero & Villaseñor PRD(00)gq/99 [free, no local degrees of freedom].
@ Spin-5/2 fields: Metsaev PRD(08) [interactions, in (anti)de Sitter space];
> s.a. Hypergravity.
@ Spin-3 fields: Zinoviev CQG(09)-a0805 [interaction with gravity];
Mendonça & Dalmazi EPJC(16)-a1509,
Bergshoeff et al JHEP(17)-a1612 [in 3D];
> s.a. 3D gravity theories.
@ Massive, s > 1:
Deser & Waldron PRL(01)ht [and gauge],
NPB(02)ht/01 [problems],
Deser in(03)gq/02;
Deser NPPS(04)gq/03 [de Sitter];
Zecca IJTP(06)
[in Schwarzschild spacetime, separation of variables];
Porrati & Rahman PRD(11)-a1103 [consistent Lagrangian description];
Afkhami-Jeddi a1811 [bound].
@ Massless bosonic: Bell & Szekeres IJTP(72) [any spin, curved spacetime];
Frønsdal PRD(78);
Labastida PRL(87);
Ouvry ZPC(88);
Couch & Torrence GRG(89) [spherically symmetric spacetime];
Brooke & Schroeck JMP(96);
Vasiliev NPB(01)ht [in AdS5];
Sezgin & Sundell JHEP(02)ht;
Boulanger & Leclercq JHEP(06)ht [coupling between spin-2 and spin-3];
Campoleoni & Francia JHEP(13)-a1206 [Lagrangian].
@ Massive bosonic: Klishevich TMP(98)ht/97 [spin-2 and 3 gauge theory, Hamiltonian from non-canonical Lagrangian],
CQG(99)ht/98 [in Einstein space],
IJMPA(00)ht/98 [in electromagnetic field],
ht/00-proc [interactions];
Buchbinder & Krykhtin NPB(05)ht,
ht/05-proc [BRST Lagrangian formulation];
Buchbinder et al NPB(07) [in AdS, gauge-invariant];
Rahman & Taronna in(17)-a1603 [in non-trivial backgrounds].
@ Fermionic, half-integer spin:
Fang & Frønsdal PRD(78) [massless];
Frauendiener & Sparling JGP(99)gq/95;
Klishevich IJMPA(00)ht/98 [in electromagnetic field];
Niederle & Nikitin PRD(01)ht/04 [wave equations];
Buchbinder & Krykhtin ht/05-proc [massless, BRST approach];
Metsaev a1211;
> s.a. fermions.
@ In 2+1 dimensions: Grigore JMP(94)ht;
Gaitan PhD(05)-a0711;
Campoleoni a1110-proc
[toy models, gauge theories and others].
@ In curved spacetimes:
Pol'shin gq/98,
gq/98-wd,
gq/98;
Vasiliev ht/01-conf
[AdS4];
Fukuma et al a1605 [need for non-minimal couplings];
Homma & Tomihisa a2005 [on constant-curvature spaces].
@ Other types: Lindesay mp/03,
mp/03 [linear spinor fields];
Bandos et al JHEP(05)ht [conformally invariant];
Zecca IJTP(07) [with torsion];
Sezgin & Sundell JPA(16)-a1208 [supersymmetric];
Guo a1301 [from Finsler geometry];
Bekaert & Skvortsov IJMPA(17)-a1708 [fields with continuous spin].
Related Topics
> s.a. BRST theory; casimir effect;
FLRW spacetime; particle types [in experiments];
symplectic structures.
@ And string theory: Sagnotti & Taronna NPB(10);
Sagnotti a1112-ln;
Rahman & Taronna a1512-in [primer].
@ Vasiliev theory: Vasiliev & Fradkin JETPL(86)
+ news SA(12)apr;
Vasiliev PLB(90);
Alkalaev et al JPA(15)-a1409.
@ Gyromagnetic things: Giannakis et al PLB(99)ht [gravitational quadrupole and supersymmetry].
@ Characteristic initial-value form: Penrose GRG(80).
@ Fermions from / to bosons: Vachaspati PLB(98)ht/97;
Daoud et al PAN(98)qp;
> s.a. Bosons [bosonization]; Dyon;
Supersymmetry.
@ Symmetries:
Anco & Pohjanpelto PRS(03)mp/02 [conserved currents];
Pohjanpelto & Anco Sigma(08)-a0801 [generalized].
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