Matrix geometries emergent from a point

Francesco DAndrea; Fedele Lizzi; Pierre Martinetti

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Matrix geometries emergent from a point

机译：Matrix geometries emergent from a point

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摘要

We describe a categorical approach to finite noncommutative geometries. Objects in the category are spectral triples, rather than unitary equivalence classes as in other approaches. This enables us to treat fluctuations of the metric and unitary equivalences on the same footing, as representatives of particular morphisms in this category. We then show how a matrix geometry (Moyal plane) emerges as a fluctuation from one point, and discuss some geometric aspects of this space.

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来源
《Reviews in mathematical physics》 |2014年第9期|1450017-1-1450017-32|共32页
作者
Francesco DAndrea; Fedele Lizzi; Pierre Martinetti;
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作者单位

Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, P. le Tecchio 80, 80125, Napoli, Italy;

Dipartimento di Fisica, Università di Napoli Federico II, Complesso Universitario di Monte Sant'-Angelo, Via Cintia, I-80126, Napoli, Italy;

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正文语种英语
中图分类理论物理学;
关键词
Spectral triples; finite noncommutative geometries; Morita equivalence; Moyal plane;

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Matrix geometries emergent from a point

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