Stringy dyonic solutions and clifford structures

Abstract

Using the toroidal compactification of string theory on n-dimensional tori, T n , we investigate dyonic objects in arbitrary dimensions. First, we present a class of dyonic black solutions formed by two different D-branes using a correspondence between toroidal cycles and objects possessing both magnetic and electric charges, belonging to U(1) 2 n−1 e ×U(1) 2 n−1 m dyonic gauge symmetry. This symmetry could be associated with electrically charged magnetic monopole solutions in stringy model buildings of the standard model extensions. Then, we consider in some details such black hole classes obtained from even dimensional toroidal compactifications, and we find that they are linked to Cl(n) Clifford algebras using the vee product. It is believed that this analysis could be extended to dyonic objects which can be obtained from local Calabi-Yau manifold compactifications.

Dyonic objects and tensor network representation

“…It is known that in higher dimensions many physical quantities are reinterpreted from the usual four-dimensional spacetime viewpoint as various faces of possible one quantity. In particular, it has been shown that the single electric and magnetic charges in ten dimensions could be viewed from the 4-dimensional non-compact spacetime standpoint as dyonic charges, being particles carrying simultaneous existence of the electric and the magnetic charges [6]. A dyon with a zero electric charge is usually referred to as a magnetic monopole [7,8].…”