From Diophantus to supergravity and massless higher spin multiplets

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00095573" target="_blank" >RIV/00216224:14310/17:00095573 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/JHEP11(2017)063" target="_blank" >http://dx.doi.org/10.1007/JHEP11(2017)063</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP11(2017)063" target="_blank" >10.1007/JHEP11(2017)063</a>

Jazyk výsledku

angličtina

Název v původním jazyce

From Diophantus to supergravity and massless higher spin multiplets

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

From Diophantus to supergravity and massless higher spin multiplets

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

—

Svazek periodika

Neuveden

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

36

Strana od-do

—

Kód UT WoS článku

000415203400001

EID výsledku v databázi Scopus

—