Skip to main content
2–6 Sept 2024
University of Southampton
Europe/London timezone

A double copy from twisted (co)homology at genus one

4 Sept 2024, 11:50
20m
B46/LTA (University of Southampton)

B46/LTA

University of Southampton

Talk in parallel session Amplitudes (string theory, field theory, gravity) Parallel sessions

Speaker

Andrzej Pokraka

Description

We study the twisted (co)homology of a family of genus-one integrals — the so called Riemann-Wirtinger integrals. These integrals are closely related to one-loop string amplitudes in chiral splitting where one leaves the loop-momentum, modulus and all but one puncture un-integrated. While not actual one-loop string integrals, they share many properties and are simple enough that the associated twisted (co)homologies have been completely characterized. We use the intersection index — an inner product on the vector space of allowed contours — to derive a double-copy formula for the closed-string analogues of Riemann-Wirtinger integrals (one-dimensional integrals over the torus). These intersection indices form a genus-one KLT-like kernel defining bilinears in meromorphic Riemann-Wirtinger integrals that are equal to their complex counterparts.

Author

Andrzej Pokraka

Presentation materials