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Mathematical Physics

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Mathematical Physics

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Research Frontiers in String Theory Compactification Geometry

Studies Calabi-Yau manifolds and their moduli spaces as mathematical foundations for string theory compactifications.

Calabi-Yau Fibrations and Mirror Symmetry Breaking
Moduli Stabilization Beyond the Swampland Constraints
Topological Transitions in Higher-Dimensional Compactification
K3 Surfaces and Heterotic-Type II Duality Landscapes
Flux Quantization and Arithmetic Geometry in Compactifications
Singular Geometry and Anomaly Cancellation Mechanisms
Exceptional Groups in G2 and Spin(7) Compactifications
D-Brane Wrapping and Geometric Deformation Theory
Orbifold Singularities and Resolution via Derived Categories
Kahler Moduli Geometry in Large Volume Scenarios

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