Multiloop SYM and supergravity amplitudes in pure spinor superspace

          @misc{ pirsa_PIRSA:15040178,
            doi = {10.48660/15040178},
            url = {https://pirsa.org/15040178},
            author = {Schlotterer, Oliver},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Multiloop SYM and supergravity amplitudes in pure spinor superspace},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {apr},
            note = {PIRSA:15040178 see, \url{https://pirsa.org}}
          }
          

Abstract

We present a string-inspired method to construct supersymmetric loop integrands for scattering amplitudes in ten-dimensional SYM and supergravity. The kinematic dependence is described in pure spinor superspace and determined from the BRST-symmetry of the underlying pure spinor superstring. We focus on five-point examples at one- and two-loop order which satisfy the BCJ duality between color and kinematics. Hence, the supergravity integrands follow straightforwardly from a double copy construction of the cubic diagrams in SYM. Preliminary examples and open questions at three-loops are mentioned.