A non-canonical approach to arithmetic spin geometry and physical applications
From the text: A basic requirement of adelic physics is the principle of invariance of the fundamental physical laws under a change of the underlying number field proposed by I. V. Volovich. In order to provide the basis for a number field invariant formulation of full Yang-Mills theory in the arithmetic geometric setting, we have to develop some mathematical tools. We will develop a non-canonical approach to arithmetic spin geometry which has a great deal in common with the classical differential geometric spin geometry, and which is particularly suited for physical applications. We perform the construction of the algebraic geometric analogue of associated bundle drawing inspiration from the differential geometric theory. [\dots] We will conclude that any connection on a torsor canonically gives rise to a connection on an associated object. The process of reduction of the structure group is available in the arithmetic setting too.
scientific article; zbMATH DE number 6105040
scientific article