Nonassociative Field Theory on Non-Geometric Spaces

Abstract

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.

6 pages; Contribution to the proceedings of the Workshop on Noncommutative Field Theory and Gravity, Corfu, Greece, September 8-15, 2013

References in corpus (1)

• T-duality and closed string non-commutative (doubled) geometry

Cited by in corpus (6)

• $G_2$-structures and quantization of non-geometric M-theory backgrounds
• Triproducts, nonassociative star products and geometry of R-flux string compactifications
• T-duality, Quotients and Currents for Non-Geometric Closed Strings
• Magnetic monopoles and nonassociative deformations of quantum theory
• Twist for Snyder space
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric