A noncommutative deformation of topological field theory

Hugo García-Compeán; Pablo Paniagua

doi:10.1007/s10714-005-0058-3

A noncommutative deformation of topological field theory

Hugo García-Compeán, Pablo Paniagua

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

1 Scopus citations

Abstract

Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the θ-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the θ-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology of noncommutative spacetime and the Chevalley-Eilenberg cohomology of noncommutative moduli of instantons. In the process we find that in the weak coupling limit the quantum theory is localized at the moduli space of noncommutative instantons.

Original language	English
Pages (from-to)	723-731
Number of pages	9
Journal	General Relativity and Gravitation
Volume	37
Issue number	4
DOIs	https://doi.org/10.1007/s10714-005-0058-3
State	Published - Apr 2005
Externally published	Yes

Keywords

Instanton
Noncommutative spacetime
Yang-Mills theory

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10.1007/s10714-005-0058-3

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title = "A noncommutative deformation of topological field theory",

abstract = "Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the θ-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the θ-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology of noncommutative spacetime and the Chevalley-Eilenberg cohomology of noncommutative moduli of instantons. In the process we find that in the weak coupling limit the quantum theory is localized at the moduli space of noncommutative instantons.",

keywords = "Instanton, Noncommutative spacetime, Yang-Mills theory",

author = "Hugo Garc{\'i}a-Compe{\'a}n and Pablo Paniagua",

note = "Funding Information: Acknowledgements This work is dedicated to Professor Alberto Garc{\'i}a on the occasion of his 60th birthday. This work was supported in part by CONACyT M{\'e}xico Grant 33951E. P.P. is supported by a CONACyT graduate fellowship. It is a pleasure to thank A. Dymarsky, O. Obreg{\'o}n and C. Ram{\'i}rez for very useful discussions.",

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AU - García-Compeán, Hugo

AU - Paniagua, Pablo

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PY - 2005/4

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N2 - Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the θ-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the θ-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology of noncommutative spacetime and the Chevalley-Eilenberg cohomology of noncommutative moduli of instantons. In the process we find that in the weak coupling limit the quantum theory is localized at the moduli space of noncommutative instantons.

AB - Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the θ-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the θ-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology of noncommutative spacetime and the Chevalley-Eilenberg cohomology of noncommutative moduli of instantons. In the process we find that in the weak coupling limit the quantum theory is localized at the moduli space of noncommutative instantons.

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M3 - Artículo

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JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 4

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A noncommutative deformation of topological field theory

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Keywords

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