TL;DR
This paper explores the algebraic structure of q-deformed oscillators in the context of topological string theory on the conifold, revealing a connection between oscillator commutation relations and the mirror B-model curve.
Contribution
It demonstrates that the mirror B-model curve of the conifold emerges directly from the commutation relations of q-deformed oscillators acting on D-brane wavefunctions.
Findings
Mirror B-model curve derived from oscillator algebra
Connection established between q-deformed oscillators and mirror symmetry
New insights into D-brane wavefunctions in topological strings
Abstract
We study the q-deformed oscillator algebra acting on the wavefunctions of non-compact D-branes in the topological string on conifold. We find that the mirror B-model curve of conifold appears from the commutation relation of the q-deformed oscillators.
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