Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00107899" target="_blank" >RIV/00216224:14310/18:00107899 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.3390/universe4010006" target="_blank" >http://dx.doi.org/10.3390/universe4010006</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/universe4010006" target="_blank" >10.3390/universe4010006</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

Popis výsledku v původním jazyce

We investigate cubic interactions between a chiral superfield and higher spin superfields corresponding to irreducible representations of the 4D, N = 1 super-Poincare algebra. We do this by demanding an invariance under the most general transformation, linear in the chiral superfield. Following Noether's method we construct an infinite tower of higher spin supercurrent multiplets which are quadratic in the chiral superfield and include higher derivatives. The results are that a single, massless, chiral superfield can couple only to the half-integer spin supermultiplets (s + 1, s + 1/2) and for every value of spin there is an appropriate improvement term that reduces the supercurrent multiplet to a minimal multiplet which matches that of superconformal higher spins. On the other hand a single, massive, chiral superfield can couple only to higher spin supermultiplets of type (2l + 2, 2l + 3/2) (only odd values of s, s = 2l + 1) and there is no minimal multiplet. Furthermore, for the massless case we discuss the component level higher spin currents and provide explicit expressions for the integer and half-integer spin conserved currents together with a R-symmetry current.

Název v anglickém jazyce

Higher Spin Superfield Interactions with the Chiral Supermultiplet: Conserved Supercurrents and Cubic Vertices

Popis výsledku anglicky

We investigate cubic interactions between a chiral superfield and higher spin superfields corresponding to irreducible representations of the 4D, N = 1 super-Poincare algebra. We do this by demanding an invariance under the most general transformation, linear in the chiral superfield. Following Noether's method we construct an infinite tower of higher spin supercurrent multiplets which are quadratic in the chiral superfield and include higher derivatives. The results are that a single, massless, chiral superfield can couple only to the half-integer spin supermultiplets (s + 1, s + 1/2) and for every value of spin there is an appropriate improvement term that reduces the supercurrent multiplet to a minimal multiplet which matches that of superconformal higher spins. On the other hand a single, massive, chiral superfield can couple only to higher spin supermultiplets of type (2l + 2, 2l + 3/2) (only odd values of s, s = 2l + 1) and there is no minimal multiplet. Furthermore, for the massless case we discuss the component level higher spin currents and provide explicit expressions for the integer and half-integer spin conserved currents together with a R-symmetry current.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

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

2018

Kód důvěrnosti údajů

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

Název periodika

UNIVERSE

ISSN

0094-243X

e-ISSN

2218-1997

Svazek periodika

4

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

27

Strana od-do

1-27

Kód UT WoS článku

000424097100006

EID výsledku v databázi Scopus

2-s2.0-85041739087