TY - JOUR AU - Khoroshkov, Yu.V. PY - 2022/04/01 Y2 - 2024/03/29 TI - Mirror Symmetry as an Algebra of Operators in Noncommutative Geometry of Space-Time JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 67 IS - 2 SE - Fields and elementary particles DO - 10.15407/ujpe67.2.117 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021316 SP - 117 AB - <p>The analysis of the geometric and algebraic properties of mirror mappings allowed the latter to be used as the operator algebra of a noncommutative geometry. The coordinates of the noncommutative geometry are auto- or cross-correlation coordinates in the mirror-mapped spaces. A particular case of the six-dimensional Kahler manifold which is mapped on the noncommutative geometry with the vector Clifford algebra Cl<sub>4</sub> has been considered. This mapping corresponds to a tetraquark composed from two quark–anti-quark pairs with the charges ±<sup>2</sup>/<sub>3</sub>q taken from different generations.</p> ER -