Counterterms in N=8 Supergravity
APA
Kiermaier, M. (2011). Counterterms in N=8 Supergravity. Perimeter Institute. https://pirsa.org/11010081
MLA
Kiermaier, Michael. Counterterms in N=8 Supergravity. Perimeter Institute, Jan. 25, 2011, https://pirsa.org/11010081
BibTex
@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}} }
Princeton University
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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.