Extended supersymmetric BMS3 algebras and their free field realisations

A bstract We study N = (2 , 4 , 8) supersymmetric extensions of the three dimensional BMS algebra (BMS 3 ) with most generic possible central extensions. We find that N - extended supersymmetric BMS 3 algebras can be derived by a suitable contraction of two copies of the extended superconformal alge...

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Published inThe journal of high energy physics Vol. 2016; no. 11
Main Authors Banerjee, Nabamita, Jatkar, Dileep P., Lodato, Ivano, Mukhi, Sunil, Neogi, Turmoli
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 09.11.2016
Subjects
Classical and Quantum Gravitation
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Gauge-gravity correspondence
Space-Time Symmetries
Conformal Field Theory
Extended Supersymmetry
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Summary:A bstract We study N = (2 , 4 , 8) supersymmetric extensions of the three dimensional BMS algebra (BMS 3 ) with most generic possible central extensions. We find that N - extended supersymmetric BMS 3 algebras can be derived by a suitable contraction of two copies of the extended superconformal algebras. Extended algebras from all the consistent contractions are obtained by scaling left-moving and right-moving supersymmetry generators symmetrically, while Virasoro and R-symmetry generators are scaled asymmetrically. On the way, we find that the BMS/GCA correspondence does not in general hold for supersymmetric systems. Using the β -γ and the b ‐ c systems, we construct free field realisations of all the extended super-BMS 3 algebras.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2016)059