The c-map on groups

Oscar Macia; Andrew Francis Swann

doi:10.1088/1361-6382/ab56ee

The c-map on groups

Institut for Matematik - Center for Kvantegeometri af Modulirum

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Abstract

We study the projective special Kähler condition on groups, providing an intrinsic definition of homogeneous projective special Kähler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kähler structure on a Lie group.

Originalsprog	Engelsk
Artikelnummer	015015
Tidsskrift	Classical and Quantum Gravity
Vol/bind	37
Nummer	1
ISSN	0264-9381
DOI	https://doi.org/10.1088/1361-6382/ab56ee
Status	Udgivet - dec. 2019

Adgang til dokumentet

10.1088/1361-6382/ab56eeLicens: Ikke-specificeret

https://arxiv.org/pdf/1908.01736.pdf

Torus symmetry and Einstein metrics
Swann, A. F. (Deltager)
Danmarks Frie Forskningsfond
01/11/2016 → 31/12/2019
Projekter: Projekt › Forskning

Citationsformater

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abstract = "We study the projective special K{\"a}hler condition on groups, providing an intrinsic definition of homogeneous projective special K{\"a}hler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic K{\"a}hler structure on a Lie group.",

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AB - We study the projective special Kähler condition on groups, providing an intrinsic definition of homogeneous projective special Kähler that includes the previously known examples. We give intrinsic defining equations that may be used without resorting to computations in the special cone, and emphasise certain associated integrability equations. The definition is shown to have the property that the image of such structures under the c-map is necessarily a left-invariant quaternionic Kähler structure on a Lie group.

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DO - 10.1088/1361-6382/ab56ee

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The c-map on groups

Abstract

Adgang til dokumentet

Fingeraftryk

Projekter

Torus symmetry and Einstein metrics

Citationsformater