From Diophantus to supergravity and massless higher spin
multiplets

J 2017

From Diophantus to supergravity and massless higher spin multiplets

GATES, Sylvester James and Konstantinos KOUTROLIKOS

Basic information

Original name

From Diophantus to supergravity and massless higher spin multiplets

Authors

GATES, Sylvester James (840 United States of America) and Konstantinos KOUTROLIKOS (300 Greece, guarantor, belonging to the institution)

Edition

Journal of High Energy Physics, New York, SPRINGER, 2017, 1029-8479

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 5.541

RIV identification code

RIV/00216224:14310/17:00095573

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1007/JHEP11(2017)063

UT WoS

000415203400001

Keywords in English

Supergravity Models; Superspaces; Supersymmetric Effective Theories

Abstract

V originále

We present a new method of deriving the off-shell spectrum of supergravity and massless 4D, N = 1 higher spin multiplets without the need of an action and based on a set of natural requirements: (a.) existence of an underlying superspace description, (b.) an economical description of free, massless, higher spins and (c.) equal numbers of bosonic and fermionic degrees of freedom. We prove that for any theory that respects the above, the fermionic auxiliary components come in pairs and are gauge invariant and there are two types of bosonic auxiliary components. Type (1) are pairs of a (2,0)-tensor with real or imaginary (1,1)-tensor with non-trivial gauge transformations. Type (2) are singlets and gauge invariant. The outcome is a set of Diophantine equations, the solutions of which determine the off-shell spectrum of supergravity and massless higher spin multiplets. This approach provides (i) a classification of the irreducible, supersymmetric, representations of arbitrary spin and (ii) a very clean and intuitive explanation to why some of these theories have more than one formulations (e.g. the supergravity multiplet) and others do not.

Links

GBP201/12/G028, research and development project

Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Czech Science Foundation

Citovat

GATES, Sylvester James and Konstantinos KOUTROLIKOS. From Diophantus to supergravity and massless higher spin multiplets. Journal of High Energy Physics. New York: SPRINGER, 2017, Neuveden, No 11, p. nestránkováno, 36 pp. ISSN 1029-8479. Available from: https://dx.doi.org/10.1007/JHEP11(2017)063.

@article{1411118,
   author = {Gates, Sylvester James and Koutrolikos, Konstantinos},
   article_location = {New York},
   article_number = {11},
   doi = {http://dx.doi.org/10.1007/JHEP11(2017)063},
   keywords = {Supergravity Models; Superspaces; Supersymmetric Effective Theories},
   language = {eng},
   issn = {1029-8479},
   journal = {Journal of High Energy Physics},
   title = {From Diophantus to supergravity and massless higher spin multiplets},
   volume = {Neuveden},
   year = {2017}
}

TY  - JOUR
ID  - 1411118
AU  - Gates, Sylvester James - Koutrolikos, Konstantinos
PY  - 2017
TI  - From Diophantus to supergravity and massless higher spin multiplets
JF  - Journal of High Energy Physics
VL  - Neuveden
IS  - 11
SP  - nestránkováno
EP  - nestránkováno
PB  - SPRINGER
SN  - 10298479
KW  - Supergravity Models
KW  - Superspaces
KW  - Supersymmetric Effective Theories
N2  - We present a new method of deriving the off-shell spectrum of supergravity and massless 4D, N = 1 higher spin multiplets without the need of an action and based on a set of natural requirements: (a.) existence of an underlying superspace description, (b.) an economical description of free, massless, higher spins and (c.) equal numbers of bosonic and fermionic degrees of freedom. We prove that for any theory that respects the above, the fermionic auxiliary components come in pairs and are gauge invariant and there are two types of bosonic auxiliary components. Type (1) are pairs of a (2,0)-tensor with real or imaginary (1,1)-tensor with non-trivial gauge transformations. Type (2) are singlets and gauge invariant. The outcome is a set of Diophantine equations, the solutions of which determine the off-shell spectrum of supergravity and massless higher spin multiplets. This approach provides (i) a classification of the irreducible, supersymmetric, representations of arbitrary spin and (ii) a very clean and intuitive explanation to why some of these theories have more than one formulations (e.g. the supergravity multiplet) and others do not.
ER  -

GATES, Sylvester James and Konstantinos KOUTROLIKOS. From Diophantus to supergravity and massless higher spin multiplets. \textit{Journal of High Energy Physics}. New York: SPRINGER, 2017, Neuveden, No~11, p.~nestránkováno, 36 pp. ISSN~1029-8479. Available from: https://dx.doi.org/10.1007/JHEP11(2017)063.

Detailed Information on Publication Record