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Gravity induced \(C\)-deformation. (English) Zbl 1053.81078

The aim of the paper is to prove the conjecture that certain \(R^2\) type terms can be computed exactly by studying the non-planar perturbative gauge theory amplitudes with a single handle. It is shown that the gluino fields obey the same relation in string and supergravity theories. It is shown that this relation leads to the gravitational corrections including the more general situations not necessarily embedded in string theory. The authors also discussed certain mixed gravitational/gauge interactions which violate Lorentz invariance and which could serve as an experimental signature for the C-deformation.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81V17 Gravitational interaction in quantum theory
81T13 Yang-Mills and other gauge theories in quantum field theory
83E50 Supergravity