Mirror duality and noncommutative tori
Eunsang Kim, Hoil Kim
TL;DR
This paper explores mirror duality between generalized complex tori and noncommutative complex tori, deriving a symplectic Riemann condition and extending mirror symmetry concepts to noncommutative settings.
Contribution
It introduces a mirror duality framework for noncommutative complex tori, generalizing classical mirror symmetry to noncommutative geometry.
Findings
Derived a symplectic Riemann condition using mirror duality.
Established a mirror correspondence for generalized complex tori.
Extended mirror duality concepts to noncommutative complex tori.
Abstract
In this paper, we study a mirror duality on a generalized complex torus and a noncommutative complex torus. First, we derive a symplectic version of Riemann condition using mirror duality on ordinary complex tori. Based on this we will find a mirror correspondence on generalized complex tori and generalize the mirror duality on complex tori to the case of noncommutative complex tori.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.