Mirror Symmetry as an Algebra of Operators in Noncommutative Geometry of Space-Time
DOI:
https://doi.org/10.15407/ujpe67.2.117Keywords:
mirror symmetry, noncommutative geometry, Clifford algebra, correlationAbstract
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 Cl4 has been considered. This mapping corresponds to a tetraquark composed from two quark–anti-quark pairs with the charges ±2/3q taken from different generations.
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