Lie 2-algebra models

Patricia Ritter; Christian Saemann

doi:10.1007/JHEP04(2014)066

Lie 2-algebra models

Patricia Ritter
, Christian Saemann

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

137 Downloads (Pure)

Abstract

In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of ³, S ³ and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized ³, we obtain higher BF-theory on this quantized space.

Original language	English
Article number	066
Journal	Journal of High Energy Physics
Volume	2014
Issue number	4
DOIs	https://doi.org/10.1007/JHEP04(2014)066
Publication status	Published - Apr 2014

Keywords

M(atrix) Theories
M-Theory
Matrix Models
Non-Commutative Geometry

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP04(2014)066

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title = "Lie 2-algebra models",

abstract = "In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of 3, S 3 and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized 3, we obtain higher BF-theory on this quantized space.",

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AU - Saemann, Christian

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AB - In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of 3, S 3 and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized 3, we obtain higher BF-theory on this quantized space.

KW - M(atrix) Theories

KW - M-Theory

KW - Matrix Models

KW - Non-Commutative Geometry

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JF - Journal of High Energy Physics

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ER -

Lie 2-algebra models

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Keywords

ASJC Scopus subject areas

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