D^4 R^4 and D^6 R^4: A 2021 perspective on these automorphic functions
Duration: 51 mins 12 secs
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About this item
| Description: |
Miller, S
Monday 24th May 2021 - 14:30 to 15:30 |
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| Created: | 2021-05-25 14:15 |
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| Collection: | New connections in number theory and physics |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | Miller, S |
| Language: | eng (English) |
| Abstract: | In a series of papers Michael Green, Pierre Vanhove, and collaborators discovered that several low-energy terms in the 4-graviton scattering amplitude are governed by Eisenstein series from number theory. Some of these are tightly related to exotic "small" representations of real exceptional Lie groups (like E8) that are central objects in a conjecture of James Arthur from the 1980s, but very difficult to construct or study. I'll describe the recent proof of the real-group aspects of Arthur's conjecture for the exceptional groups, which gives candidate small representations for BPS-protected interactions (joint work with Jeff Adams, Marc van Leeuwen, Annegret Paul, and David Vogan). Time permitting, I will also discuss joint work with Kimberly Klinger-Logan which gives a construction and direct derivation of the D6R4 interaction in the 4-graviton scattering amplitude (which is not an Eisenstein series). |
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