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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.02394 |
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Table of Contents:
- The two-dimensional gauged linear sigma model has provided a physical model for the quantum cohomology of a Kähler manifold, $X$. A three-dimensional version of such construction has recently been shown to shed light on models of quantum K-theory of $X$. We consider an $\mathcal{N}=1$ four-dimensional version consisting of a $U(1)$ vector multiplet and chiral multiplets, generalizing the two-dimensional $\mathcal{N}=(2,2)$ setup. We compute the four-dimensional partition function on $D^2\times \mathbb{T}^2$ and demonstrates that it satisfies a difference equation which reduces to the deformed quantum K-theoretic one in the appropriate limit. We also demonstrate, though indirectly, that 4d invariants reduce to 3d quantum K-theory invariants in the same limit.