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Nonassociative Field Theory on Non-Geometric Spaces · Around

2014

Nonassociative Field Theory on Non-Geometric Spaces

Mylonas, Dionysios, Szabo, Richard J.

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We describe quasi-Hopf twist deformations of flat closed string compactifications with non-geometric R-flux 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 phi(4) theory is studied in detail and the one-loop contributions to the two-point function are calculated.

Built on

J. R. Edmonds, Notices Amer. Math. Soc. 7
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J. W. T. Youngs, J. Math. Mech. 12
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S. Majid, Foundations of Quantum Group Theory
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Similar

M. Herbst, A. Kling and M. Kreuzer, JHEP 0208
2002
Cited alongside, same era.
D. Robbins and S. Sethi, JHEP 0307
2003
Cited alongside, same era.
R. J. Szabo, Phys. Rept. 378
2003
Cited alongside, same era.
R. G. G. Amorim, F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson and A. E. Santana, arXiv:1402.1446 [hep-th]
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R. Blumenhagen, arXiv:1403.4805 [hep-th]
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D. Mylonas, P. Schupp and R. J. Szabo, arXiv:1312.1621 [hep-th]
Original
Cited in the paper.
D. Mylonas, P. Schupp and R. J. Szabo, arXiv:1402.7306 [hep-th]
Original
Cited in the paper.

Then

D. Lüst, JHEP 1012
Original
2010
Later among the works it cites.
R. Blumenhagen and E. Plauschinn, J. Phys. A 44
Original
2011
Later among the works it cites.
D. Mylonas, P. Schupp and R. J. Szabo, JHEP 1209
Original
2012
Later among the works it cites.

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