Oliver Schlotterer

ERC-StG Project Uniscamp 2019-2023

My research during the period January 2019 to December 2023 was funded through the ERC Starting- Grant project UNISCAMP – The unity of scattering amplitudes: gauge theory, gravity, strings and number theory. During this 60-month funding period, up to 5 simultaneous team members produced a total of 45 research papers that can be found on INSPIRE HEP, including the following research highlights:

• the long-sought-for explicit construction of polylogarithm functions on Riemann surfaces of arbitrary genus in Constructing polylogarithms on higher-genus Riemann surfaces arXiv:2306.08644
• relating the modular graph forms in genus-one string amplitudes to equivariant iterated Eisenstein integrals in the algebraic-geometry literature Modular graph forms from equivariant iterated Eisenstein integrals arXiv:2209.06772
• new synergies between conventional string theories and the more recent ambitwistor and chiral models, informing string interactions of infinitely many modes from field-theory methods
• understanding and exposing the double-copy structure of gravitational amplitudes through a fusion of string-theory, field-theory and Lie-algebra methods

Reviews

My group coauthored three White Papers within the Snowmass community planning exercise:

• Functions Beyond Multiple Polylogarithms for Precision Collider Physics, arXiv:2203.07088
• Snowmass White Paper: String Perturbation Theory, arXiv:2203.09099
• Snowmass White Paper: the Double Copy and its Applications, arXiv:2204.06547

Moreover, I recently published a comprehensive review together with C. Mafra, Tree-level amplitudes from the pure spinor superstring, Phys. Rept. 1020 (2023), arXiv:2210.14241. We review the supersymmetric computation of multiparticle tree-level amplitudes of massless superstring excitations as well as their interplay with the gravitational double copy and multiple zeta values.

Review Material that you cannot find on the arXiv

• The number theory of string amplitudes Pdf, 372 kB. (draft version of a proceedings article for the conference “Numbers and Physics”, ICMAT, Madrid, Spain, September 2014)
• One-loop string scattering amplitudes as iterated Eisenstein integrals Pdf, 1 MB. jointly written with Johannes Broedel (draft version of a proceedings article for the KMPB Conference “Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory”, DESY Zeuthen, Zeuthen, Germany, October 2017).

Teaching

I am teaching a doublet of master courses on string theory from fall 2023 to spring 2024, the lecture notes including homework problems can be found in the file String Theory I and II Pdf, 14 MB..

Moreover, you can find the notes of Max Guillen's extra lectures on Advanced Topics in String Theory (March 2021) Pdf, 418 kB..