Special geometry and space–time signature

We construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space–time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating t...

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Main Author:	W.A. Sabra
Format:	Article
Language:	English
Published:	Elsevier 2017-10-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269317306433

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spelling	doaj-7ed34cf8f63145e18ab0e4998023fc702020-11-24T23:20:54ZengElsevierPhysics Letters B0370-26932017-10-01773191195Special geometry and space–time signatureW.A. Sabra0Centre for Advanced Mathematical Sciences and Physics Department, American University of Beirut, LebanonWe construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space–time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating the integrability conditions arising from Killing spinor equations. The five-dimensional supergravity theories can also be obtained by reducing Hull's eleven-dimensional supergravities on a Calabi–Yau threefold. The dimensional reductions of the five-dimensional supergravities on space and time-like circles produce N=2 four-dimensional supergravity theories with signatures (t−1,s) and (t,s−1) exhibiting projective special (para)-Kähler geometry.http://www.sciencedirect.com/science/article/pii/S0370269317306433
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	W.A. Sabra
spellingShingle	W.A. Sabra Special geometry and space–time signature Physics Letters B
author_facet	W.A. Sabra
author_sort	W.A. Sabra
title	Special geometry and space–time signature
title_short	Special geometry and space–time signature
title_full	Special geometry and space–time signature
title_fullStr	Special geometry and space–time signature
title_full_unstemmed	Special geometry and space–time signature
title_sort	special geometry and space–time signature
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2017-10-01
description	We construct N=2 four and five-dimensional supergravity theories coupled to vector multiplets in various space–time signatures (t,s), where t and s refer, respectively, to the number of time and spatial dimensions. The five-dimensional supergravity theories, t+s=5, are constructed by investigating the integrability conditions arising from Killing spinor equations. The five-dimensional supergravity theories can also be obtained by reducing Hull's eleven-dimensional supergravities on a Calabi–Yau threefold. The dimensional reductions of the five-dimensional supergravities on space and time-like circles produce N=2 four-dimensional supergravity theories with signatures (t−1,s) and (t,s−1) exhibiting projective special (para)-Kähler geometry.
url	http://www.sciencedirect.com/science/article/pii/S0370269317306433
work_keys_str_mv	AT wasabra specialgeometryandspacetimesignature
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Special geometry and space–time signature

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