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October 8, 2025Open Access

Quantized Coulomb branch of 4d N=2 Sp (N) gauge theory and spherical DAHA of (CN^, CN) -type

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Authors

YYYutaka Yoshida

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Overview

Analysis reveals an isomorphism between the quantized coulomb branch and spherical daha in Sp(N) gauge theory.

Key Points

  • Quantization of the coulomb branch aligns with the polynomial representation of spherical daha in Sp(1) and thus may extend to higher ranks.
  • Using the supersymmetric localization formula, we verify the agreement between BPS loop operators and spherical DAHA for the rank-one case Sp(1).
  • For higher ranks (N ≥ 2), we conjecture an isomorphism between the quantized coulomb branch and the spherical DAHA of (C_N^{ ne}, C_N)-type.
  • The equivalence of the quantized 't Hooft loop with the Koornwinder operator supports the conjecture for higher-rank cases.

Cite This Study

Yutaka Yoshida (2025) studied this question.

synapsesocial.com/papers/68e62de1a8c0c6d458740160https://doi.org/10.48550/arxiv.2503.15446
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