Browsing Department of Materials Science and Metallurgy by Subject "hep-th"
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First integrals of affine connections and Hamiltonian systems of hydrodynamic type
(Oxford University PressJournal of Integrable Systems, 2016-12-23)We find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. The conditions are expressed in terms of two scalar invariants of differential ...
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Tropical Amplitudes
In this work, we argue that the α′→0 limit of closed string theory scattering amplitudes is a tropical limit. The motivation is to develop a technology to systematize the extraction of Feynman graphs from string theory ...