2012/12/31 by Martin Cederwall, Anna Karlsson
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Formalism (music) #Higher-dimensional supergravity #Loop (graph theory) #Noncommutative and Quantum Gravity Theories #Pure spinor #Quantum Mechanics and Non-Hermitian Physics #Spinor #Supergravity #Supersymmetry #Supersymmetry breaking #hep-th
paper · pdf · doi:10.1007/jhep03(2013)114
53 pp. v2: refs. added
arxiv created 2013/01/07 · openalex publication_date 2013/03/01 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a description for amplitude diagrams in maximal supergravities obtained by dimensional reduction from D=11, derived from a field theory point of view using the pure spinor formalism. The advantages of this approach are the manifest supersymmetry present in the formalism, and the limited number of interaction terms in the action. Furthermore, we investigate the conditions set by this description in order for amplitudes in maximal supergravity to be finite in the ultraviolet limit. Typically, there is an upper limit to the dimension, set by the loop order, which for an arbitrary number of loops is no larger than two. In four dimensions, the non-renormalisation power of the formalism fails for the 7-loop contribution to the 4-point amplitude, all of which is in clear agreement with previous work.