Supersymmetry algebras in arbitrary signature and their R-symmetry groups

Gall, L and Mohaupt, T ORCID: 0000-0002-6864-4086 (2021) Supersymmetry algebras in arbitrary signature and their R-symmetry groups. JOURNAL OF HIGH ENERGY PHYSICS, 2021 (10). 203-.

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Official URL: http://dx.doi.org/10.1007/JHEP10(2021)203

Abstract

String theory, specifically type-II superstring theory, can be formulated in any ten-dimensional signature. To facilitate the study of supergravity and superstring theories in this setting, we present a uniform construction of supersymmetry algebras in arbitrary dimension and signature, which generalizes the ideas underlying symplectic Majorana spinors. In our formalism R-symmetry acts on an auxiliary multiplicity space which makes its action manifest. This allows us to provide extensive tables which list the R-symmetry groups of extended supersymmetry algebras for all signatures together with other useful information. Twisted (`type-*') supersymmetry algebras in Lorentz signature with non-compact R-symmetry groups are shown to be part of a general pattern resulting from the interplay between complex superbrackets and reality conditions. As an application we show how the relations between type-II string theories in ten and nine dimensions can be extracted from their supersymmetry algebras. We also use our results to determine the special geometry of vector and hypermultiplet scalar manifolds of four-dimensional $\mathcal{N}=2$ and three-dimensional $\mathcal{N}=4$ supergravity theories for all signatures.

Item Type:	Article
Additional Information:	14 Tables, 76 pages plus 32 pages of appendices
Uncontrolled Keywords:	String Duality, Superstrings and Heterotic Strings, Supergravity Models, Supersymmetry and Duality
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	09 Nov 2021 08:34
Last Modified:	15 Mar 2024 06:15
DOI:	10.1007/JHEP10(2021)203
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3142946