Comments on resolution of nonassociativity in SFT: an example from axioms of BCFT

Matsuo, Yutaka

doi:10.1590/s0103-97332002000500007

Cited by 2 publications

(1 citation statement)

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“…As the introduction of a gauge covariant twist, defined with θ µν constant, breaks the associativity of the algebra of functions on noncommutative space-time, both in the internal and external gauge symmetry cases, we may have to consider space-time geometries that are also non-associative, not only noncommutative. Indeed, there exist in the literature works on constructing non-associative theories with some desired properties (see, e.g., [23][24][25][26][27] and references therein). However, non-associativity introduces many difficulties in formulating gauge models and they are practically non-attractive.…”

Section: Introductionmentioning

confidence: 99%

Gauge field theories with covariant star-product

Chaichian

Tureanu

Zet

2009

J. High Energy Phys.

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A noncommutative gauge theory is developed using a covariant star-product between differential forms defined on a symplectic manifold, considered as the space-time. It is proven that the field strength two-form is gauge covariant and satisfies a deformed Bianchi identity. The noncommutative Yang-Mills action is defined using a gauge covariant metric on the space-time and its gauge invariance is proven up to the second order in the noncommutativity parameter.Dedicated to Ioan Gottlieb on the occasion of his 80th birthday anniversary.

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Section: Introductionmentioning

confidence: 99%

Gauge field theories with covariant star-product

Chaichian

Tureanu

Zet

2009

J. High Energy Phys.

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Gauging the twisted Poincaré symmetry as a noncommutative theory of gravitation

et al. 2009

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Einstein's Theory of General Relativity was formulated as a gauge theory of Lorentz symmetry by Utiyama in 1956, while the Einstein-Cartan gravitational theory was formulated by Kibble in 1961 as the gauge theory of Poincaré transformations. In a noncommutative space-time with canonical commutation relations between the coordintes, Lorentz symmetry is violated and field theories constructed on such space-times have instead the so-called twisted Poincaré invariance. In this paper a gauge theory formulation of noncommutative gravity is proposed based on the twisted Poincaré symmetry together with the requirement of covariance under the general coordinate transformations, an essential ingredient of the theory of general relativity. The advantages of such a formulation as well as the related problems are discussed and possible ways out are outlined.

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Comments on resolution of nonassociativity in SFT: an example from axioms of BCFT

Cited by 2 publications

References 10 publications

Gauge field theories with covariant star-product

Gauge field theories with covariant star-product

Gauging the twisted Poincaré symmetry as a noncommutative theory of gravitation

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