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Tensor supermultiplets and toric quaternion‐Kähler geometry
Author(s) -
de Wit B.,
Saueressig F.
Publication year - 2007
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200610371
Subject(s) - quaternion , mathematics , abelian group , pure mathematics , tensor (intrinsic definition) , order (exchange) , mathematical analysis , geometry , finance , economics
We review the relation between 4 n ‐dimensional quaternion‐Kähler metrics with n + 1 abelian isometries and superconformal theories of n + 1 tensor supermultiplets. As an application we construct the class of eight‐dimensional quaternion‐Kähler metrics with three abelian isometries in terms of a single function obeying a set of linear second‐order partial differential equations.