PIRSA:11010081 Scientific Series Quantum Fields and Strings

DOI10.48660/11010081

Series: Quantum Fields and Strings

Kiermaier, M. (2011). Counterterms in N=8 Supergravity. Perimeter Institute. https://pirsa.org/11010081

Kiermaier, Michael. Counterterms in N=8 Supergravity. Perimeter Institute, Jan. 25, 2011, https://pirsa.org/11010081 

@misc{ pirsa_PIRSA:11010081,
  doi = {10.48660/11010081},
  url = {https://pirsa.org/11010081},
  author = {Kiermaier, Michael},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Counterterms in N=8 Supergravity},
  publisher = {Perimeter Institute},
  year = {2011},
  month = {jan},
  note = {PIRSA:11010081 see, \url{https://pirsa.org}}
}

Abstract

N=8 supergravity in 4 dimensions exhibits a surprisingly favorable UV behavior -- it is known from explicit computations that the 4-point amplitudes in N=8 supergravity are finite up to 4-loop order. I explain how a "matrix-element approach" can be used to study candidate counterterms for UV divergences in this theory. This approach both demystifies the finiteness found in previous computations, and predicts finiteness of arbitrary n-point amplitudes in N=8 supergravity below the 7-loop order. It also points to the 7-loop 4-point amplitude as the first amplitude whose finiteness is not guaranteed by any known symmetry of the theory.

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