Nonassociative field theory on non-geometric spaces

Dionysios Mylonas; Richard J. Szabo

doi:10.1002/prop.201400031

Nonassociative field theory on non-geometric spaces

Dionysios Mylonas^*, Richard J. Szabo

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

We describe quasi-Hopf twist deformations of flat closed string compactifications with non-geometric Rflux using a suitable cochain twist, and construct nonassociative deformations of fields and differential calculus. We report on our new findings in using this formalism to construct perturbative nonassociative field theories on these backgrounds. We describe the modifications to the usual classification of Feynman diagrams into planar and non-planar graphs. The example of ϕ⁴ theory is studied in detail and the one-loop contributions to the two-point function are calculated.

Original language	English
Pages (from-to)	727-732
Number of pages	6
Journal	Fortschritte der Physik
Volume	62
Issue number	9-10
Early online date	2 Jun 2014
DOIs	https://doi.org/10.1002/prop.201400031
Publication status	Published - Sept 2014

Keywords

Cochain twist
Non-geometric string
Nonassociative deformation
Quasi-Hopf
Scalar field

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10.1002/prop.201400031

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title = "Nonassociative field theory on non-geometric spaces",

abstract = "We describe quasi-Hopf twist deformations of flat closed string compactifications with non-geometric Rflux using a suitable cochain twist, and construct nonassociative deformations of fields and differential calculus. We report on our new findings in using this formalism to construct perturbative nonassociative field theories on these backgrounds. We describe the modifications to the usual classification of Feynman diagrams into planar and non-planar graphs. The example of ϕ4 theory is studied in detail and the one-loop contributions to the two-point function are calculated.",

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TY - JOUR

T1 - Nonassociative field theory on non-geometric spaces

AU - Mylonas, Dionysios

AU - Szabo, Richard J.

PY - 2014/9

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N2 - We describe quasi-Hopf twist deformations of flat closed string compactifications with non-geometric Rflux using a suitable cochain twist, and construct nonassociative deformations of fields and differential calculus. We report on our new findings in using this formalism to construct perturbative nonassociative field theories on these backgrounds. We describe the modifications to the usual classification of Feynman diagrams into planar and non-planar graphs. The example of ϕ4 theory is studied in detail and the one-loop contributions to the two-point function are calculated.

AB - We describe quasi-Hopf twist deformations of flat closed string compactifications with non-geometric Rflux using a suitable cochain twist, and construct nonassociative deformations of fields and differential calculus. We report on our new findings in using this formalism to construct perturbative nonassociative field theories on these backgrounds. We describe the modifications to the usual classification of Feynman diagrams into planar and non-planar graphs. The example of ϕ4 theory is studied in detail and the one-loop contributions to the two-point function are calculated.

KW - Cochain twist

KW - Non-geometric string

KW - Nonassociative deformation

KW - Quasi-Hopf

KW - Scalar field

U2 - 10.1002/prop.201400031

DO - 10.1002/prop.201400031

M3 - Article

AN - SCOPUS:84908215202

SN - 0015-8208

VL - 62

SP - 727

EP - 732

JO - Fortschritte der Physik

JF - Fortschritte der Physik

IS - 9-10

ER -

Nonassociative field theory on non-geometric spaces

Abstract

Keywords

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