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Towers of Feynman Integrals Pierre Vanhove Institut de Physique Theorique of CEA, France |
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Abstract: In this talk we describe the geometry of the family of multiloop sunset graph hypersurfaces. We will show that they are described by a family of Calabi-Yau n-fold We show that the graph hypersurface has a determintal representation. We will detail the case of the 3-loop graph hypersurface which defines a K3 surface given by the Hessian quartic K3 surfaces. We will detail the lattice polarisation and show that one needs to refine the general theory. We will then discuss the four-loop sunset which is given by the small projective resolution of the 30 nodal Calabi-Yau threefolds after Hulek-Verrill. This is based on work in progress with Charles Doran and Andrey Novoseltsev. Language: English |
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