Universal Collar Localisation and Exact Defect Vanishing for Compact Corrected SYZ Duality
Deep Bhattacharjee
Electro-Gravitational Space Propulsion Laboratory (EGSPL), Bhubaneswar, Odisha, India
Sanjeevan Singha Roy
Research Scholar; Formerly, Birla Institute of Technology (BIT), Mesra, Jharkhand, India
Pallab Nandi
Junior Research Fellow, DRDO Solid State Physics Laboratory; formerly, Indian Institute of Science Education and Research (IISER), Mohanpur, West Bengal, India
Receiving Date:
2026-03-05
Acceptance Date:
2026-04-11
Publication Date:
2026-04-29
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http://doi.org/10.37648/ijrst.v16i02.006
Abstract
We prove a local-to-global theorem for compact corrected Strominger–Yau–Zaslow duality in the presence of a finite collar package. The package consists of logarithmically deep toroidal wall collars, a radial Kähler lower bound, calibrated-current sweep control, virtual restriction of compact disc moduli, and canonical identification of wall functions. From these data we prove, with explicit estimates, singular-current continuation, integral monodromy locking, finite-energy wall confinement, equality of compact analytic and logarithmic wall automorphisms in every energy quotient, and corrected dual gluing. The Dwork/quintic degeneration is treated as the principal compact model through an explicit toroidal collar atlas. A five-coordinate defect functional records the precise remaining local estimates; its vanishing, or a terminally exact contracting transport, is proved equivalent to the completed corrected-SYZ conclusion in this framework. The revision replaces the former venue-specific self-citations with DOI-bearing mathematical references by Deep Bhattacharjee.
Keywords:
corrected SYZ duality; collar localisation; compact Calabi–Yau degeneration; special Lagrangian current; mirror symmetry.
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