Supergravity| Supergravity |
In General > s.a. approaches to quantum
gravity / Hypergravity; supersymmetry
phenomenology; versions of supergravity and phenomenology.
* History: 1976, Proposed by Ferrara,
Van Nieuwenhuizen & Freedman, and independently by Deser & Zumino; 2007 and
2009, Indications that N = 8 supergravity may be perturbatively finite.
* Idea: A supergravity theory is a
supersymmetric field theory in which supersymmetry is made local; It can be considered
as a quantum field theory with special fields, or as a theory in superspace with
bosonic and fermionic (Grassmannian) coordinates, respectively (x, y,
z, t) and θα i, α
= 1... 4, i = 1 ... N.
* Particle content and sectors:
It involves fields of spin 0, 1/2, 1, 3/2 (gravitino; these are consistent only in
supergravity) and 2, and can only be implemented when gravity (curvature) is present;
It has an observable sector with the standard model particles and their supersymmetric
partners, and a hidden sector, coupled only gravitationallly to the observable one.
* Motivation: It was hoped that it
would be a finite theory, because of cancellations, similarly to what happened
for some supersymmetric gauge theories, but this hope has not materialized –
it is non-renormalizable at three-loop level (does extended – N
> 1 – supergravity offer hope?); It is a framework for the unification
of all interactions.
* Features: It incorporates torsion,
related to intrinsic angular momentum.
* Solutions: Any solution
of a supergravity model contains an exact solution of the regular Einstein
equation (with a peculiar coupling).
References
> s.a. grand unified theories; particle types [gravitino];
string phenomenology; topology in physics.
@ Precursor: Rarita & Schwinger PR(41);
& Volkov & Soroka [Soroka ht/01-proc].
@ General: Freedman et al PRD(76);
Deser & Zumino PLB(76);
Grisaru PLB(77);
Deser et al PRL(77),
PRD(77);
Tabensky & Teitelboim PLB(77) [from sqrt of general relativity];
Ferrara & van Nieuwenhuizen PLB(78),
PLB(78),
PLB(78);
Baranov et al TMP(85);
Brandt FdP(02)ht-ln;
de Wit ht/02-ln;
van Nieuwenhuizen ht/04-in [intro];
Gauntlett FdP(05)ht-in [classifying solutions];
Năstase a1112-ln [intro];
Ferrara & Marrani proc(13)-a1201.
@ Group-geometric approach: Coimbra et al JHEP(11)-a1107 [as generalised geometry];
Castellani et al JHEP(16)-a1607 [action as an integral on a supermanifold],
FdP(18)-a1802 [rev];
D'Auria a2005-in [rev].
@ History: Ferrara a1701-proc;
Ferrara & Sagnotti a1702-talk;
Deser EPJH(18)-a1704,
CQG+(17);
Duplij EEJP(19)-a1910.
@ Textbooks and reviews: van Nieuwenhuizen in(77);
Freedman & van Nieuwenhuizen SA(78)feb;
van Nieuwenhuizen & Freedman ed-79;
Ferrara pr(80);
Hawking & Roček ed-81;
Cremmer in(81);
van Nieuwenhuizen PRP(81);
Julia in(85);
Castellani et al 86;
Jacob ed-86;
Srivastava 86;
Gibbons in(85);
West 90;
Casati et al 91;
Wess & Bagger 92;
Buchbinder & Kuzenko 95 [IIIb];
Tanii ht/98 [various dimensions];
Van Proeyen ht/03-proc;
Freedman & Van Proeyen FdP(11)-a1106-ln,
12;
Derendinger JPCS(15)-a1509;
Nath 16.
@ Dimensional reduction:
Lavrinenko et al CQG(98).
@ Boundary conditions:
Hawking PLB(83);
Esposito PLB(96);
Belyaev JHEP(06) [with boundary];
van Nieuwenhuizen & Vassilevich CQG(05)ht;
Van Nieuwenhuizen et al IJMPD(06).
@ Related topics:
Ferrara et al NPB(76) [matter couplings];
de Wit & van Zalk GRG(09) [and M-theory];
> s.a. positive-energy theorems.
> Online references:
see Wikipedia page.
Canonical Form and Quantization > s.a. time
in quantum gravity; types of quantum field theories [spin-3/2].
@ Classical:
Pilati NPB(78).
@ Euclidean:
Vancea PRL(97),
Ciuhu & Vancea IJMPA(00)gq/98 [observables, in terms of Dirac eigenvalues].
@ Constraints:
Teitelboim PRL(77);
Gorobey & Lukyanenko CQG(89) [complex self-dual, closure of constraints];
Wulf IJMPD(97)gq/96 [N = 1, non-closure];
Pauna & Vancea MPLA(98) [in terms of Dirac eigenvalues];
McKeon a1203
[N = 1 supergravity in 2 + 1 dimensions, quantization];
Cvetič et al JHEP(15)-a1411 [explicit solutions of the (time-symmetric) initial-value constraints].
@ Canonical quantization: Fradkin & Vasiliev
PLB(77);
D'Eath PRD(84);
Carroll et al NPB(94)ht [physical states];
D'Eath IJMPD(96).
@ Connection / loop variables:
Jacobson CQG(88);
Gorobey & Lukyanenko CQG(90);
Matschull CQG(94);
Ezawa PTP(96)ht/95 [as BF theory];
Armand-Ugón et al NPB(96)ht/95 [loop variables];
Nieto et al PRL(96) [self-dual spin connection];
Urrutia AIP(96)ht;
Melosch & Nicolai PLB(98)ht/97;
Ootsuka et al CQG(99)gq/98 [N = 2];
Tsuda & Shirafuji CQG(99)gq/98,
PRD(00)gq [N = 2];
Ling & Smolin PRD(00)ht/99,
Ling JMP(02)ht/00-MG9 [spin networks];
Tsuda PRD(00)gq/99 [N = 1];
Tsuda gq/04 [N = 3 chiral];
Kaul PRD(08)-a0711,
Szczachor a1202-conf
[Holst action with Immirzi parameter, no change in equations of motion];
Sengupta & Kaul PRD(10)-a0909;
Bodendorfer et al CQG(13)-a1105,
CQG(13)-a1105,
PLB(12)-a1106;
Bodendorfer a1509 [and the AdS/cft correspondence];
Eder & Sahlmann a2011 [N = 1, lqg methods];
> s.a. models in canonical gravity.
@ Quantization, perturbative: Bern et al PRD(08) [possible UV finiteness];
Modesto a1206
[non-local, power-counting super-renormalizable and tree-level unitary theory];
Garousi PRD(13)-a1303 [Riemann curvature corrections].
@ Related topics: Deser et al PRL(77)-a1506 [renormalizability];
Bhattacharyya et al CQG(14) [one-loop test].
> Specific models: see gowdy
spacetime; graviton; minisuperspace.
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