Cosmological Polytopes
Paolo Benincasa - Max Planck Institute for Physics (Werner Heisenberg Institute)
Serban, D. (2017). Three point functions in N=4 SYM from integrability. Perimeter Institute. https://pirsa.org/17040052
Serban, Didina. Three point functions in N=4 SYM from integrability. Perimeter Institute, Apr. 11, 2017, https://pirsa.org/17040052
@misc{ pirsa_PIRSA:17040052,
doi = {10.48660/17040052},
url = {https://pirsa.org/17040052},
author = {Serban, Didina},
keywords = {Quantum Fields and Strings},
language = {en},
title = {Three point functions in N=4 SYM from integrability},
publisher = {Perimeter Institute},
year = {2017},
month = {apr},
note = {PIRSA:17040052 see, \url{https://pirsa.org}}
}
The talk will review the computation of the three point function of gauge-invariant operators in the planar N=4 SYM theory using integrability-based methods. The structure constant can be decomposed, as proposed by Basso, Komatsu and Vieira, in terms of two form-factor-like objects (hexagons). The multiple sums and integrals implied by the hexagon decomposition can be performed in the large-charge limit, and be compared to the results obtained by semiclassics. I will discuss a method to perform these sums and the contributions currently accessible by this approach.