On some connections between condensed matter and string theory. Mathematical connections with some sectors of Number Theory

摘要

In this paper we have developed the recent research: “Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry” of R. Coldea et al. After that we have described, in the Section 1, some mathematical results of this work and some equations concerning the Ising Field Theory, we have showed, in the Section 2, some equations concerning the AdS/CFT and condensed matter physics to describe the superconductivity, thence the connections between matter condensed and string theory. Furthermore, in these sections, we have showed also the mathematical connections with some sectors of Number Theory, principally with the Ramanujan’s modular equations and the aurea ratio (or golden ratio). Recently are appears many papers concerning some connections between condensed matter and string theory, using the AdS/CFT correspondence. We think that the research of Coldea et. al can be described by these kinds of researches.