2017/03/27 by Zvi Bern, Michael Enciso, Julio Parra-Martinez +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Geometry #Limit (mathematics) #Loop (graph theory) #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Supergravity #Supersymmetry #Symmetry (geometry) #Theoretical physics #Zero (linguistics) #hep-th
paper · pdf · doi:10.1007/jhep05(2017)137
published as JHEP 05 (2017) 137 · 28 pages, 5 figures
arxiv created 2017/03/27 · openalex publication_date 2017/05/01 · arxiv updated 2017/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Examples of ‘enhanced ultraviolet cancellations’ with no known standard-symmetry explanation have been found in a variety of supergravity theories. By examining one- and two-loop examples in four- and five-dimensional half-maximal supergravity, we argue that enhanced cancellations in general cannot be exhibited prior to integration. In light of this, we explore reorganizations of integrands into parts that are manifestly finite and parts that have poor power counting but integrate to zero due to integral identities. At two loops we find that in the large loop-momentum limit the required integral identities follow from Lorentz and SL(2) relabeling symmetry. We carry out a nontrivial check at four loops showing that the identities generated in this way are a complete set. We propose that at L loops the combination of Lorentz and SL(L) symmetry is sufficient for displaying enhanced cancellations when they happen, whenever the theory is known to be ultraviolet finite up to (L − 1) loops.