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@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 a Konstantinos KOUTROLIKOS. From Diophantus to supergravity and massless higher spin multiplets. \textit{Journal of High Energy Physics}. New York: SPRINGER, 2017, Neuveden, č.~11, s.~nestránkováno, 36 s. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP11(2017)063.
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