N2 Wonderland The From Calabi Yau Manifolds To Topological Field Theories
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The strange geometry of Calabi-Yau manifolds bridges abstract string theory and topological field theories — revealing how the shape of hidden dimensions could dictate the laws of physics.
Topological Field TheoryCalabi-Yau CompactificationSupersymmetryString Theory
Theory Briefing
- Calabi-Yau manifolds are six-dimensional geometric structures used in string theory to compactify extra dimensions into invisible scales.
- Topological field theories, unlike ordinary quantum field theories, depend only on global shape — not local distances — making them immune to certain quantum corrections.
- N=2 supersymmetry connects these two frameworks, offering practical tools for computing quantum invariants and exploring non-perturbative physics.