Toward the Determination of R^3F^2 Terms in M-theory

Abstract

Higher derivative terms in M-theory are investigated by applying the Noether method. Cancellation of variations under the local supersymmetry is examined to the order linear in F by a computer program. Structure of R^4 terms is uniquely determined and exactly matches with one-loop effective terms in type IIA superstring theory. A part of R^3F^2 terms is also determined.

arXiv comment13 pages, a reference added

References in corpus (10)

• A One-Loop Test Of String Duality
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• Inflation from M-Theory with Fourth-order Corrections and Large Extra Dimensions
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions
• On a supersymmetric completion of the $R^4$ term in type IIB supergravity
• On the supersymmetric completion of the $R^4$ term in M-theory
• R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
• Progress toward the Determination of Complete Vertex Operators for The IIB Matrix Model

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