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PreprintCC BY 4.0HAL

Revisiting three-dimensional GLSMs and K-theoretic I-functions

  • Taro Kimura
  • Yinda Li
  • Xiaohan Yan
Open at sourcePDFDOICite

Abstract

We revisit the correspondence between three-dimensional gauged linear sigma models and K-theoretic Gromov-Witten theory. We show that the K-theoretic Hori-Vafa formula for the grassmannian arises from the three-dimensional gauge theory upon including an appropriate anomaly-cancellation factor. Furthermore, we derive K-theoretic I-functions for isotropic grassmannians by incorporating symmetric and anti-symmetric tensor representation fields together with suitable boundary conditions.

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Cite

BibTeXRIS
BibTeX
@misc{kimura2026revisiting,
  title = {{Revisiting three-dimensional GLSMs and K-theoretic I-functions}},
  author = {Taro Kimura and Yinda Li and Xiaohan Yan},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31273},
  eprint = {2609.31273},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05766492v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Revisiting three-dimensional GLSMs and K-theoretic I-functions
AU  - Taro Kimura
AU  - Yinda Li
AU  - Xiaohan Yan
PY  - 2026
DA  - 2026/09/25
PB  - HAL
DO  - 10.48550/arxiv.2609.31273
UR  - https://hal.science/hal-05766492v1
AB  - We revisit the correspondence between three-dimensional gauged linear sigma models and K-theoretic Gromov-Witten theory. We show that the K-theoretic Hori-Vafa formula for the grassmannian arises from the three-dimensional gauge theory upon including an appropriate anomaly-cancellation factor. Furthermore, we derive K-theoretic I-functions for isotropic grassmannians by incorporating symmetric and anti-symmetric tensor representation fields together with suitable boundary conditions.
ER  -