S3 partition functions and equivariant CY4/CY3 correspondence from quantum curves
5 affiliations
- 1Sofia University
- 2INRNE, Bulgarian Academy of Sciences
- 3RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), RIKEN
- 4Tianjin University
- 5Peng Huanwu Center for Fundamental Theory
Abstract
A bstract : We study the perturbative large- N expansion of the round three-sphere partition function in a class of M2-brane theories, including flavored SYM and ABJM theories as well as more general 3d theories admitting dual ( p , q ) 5-brane web descriptions. Using the Fermi gas formalism and quantum curve techniques, we derive the Airy-function representation of the partition function and find exact agreement with predictions based on equivariant constant maps in topological string theory proposed in [1]. In particular, we provide affirmative tests of this proposal for the toric geometries β Γ π (the conifold), the cone over the Sasakian space Q 1 , 1 , 1 , and β Γ SPP (the suspended pinch point). Motivated by a recent conjecture in [2], we further propose a novel equivariant correspondence between distinct toric Calabi-Yau manifolds of the form CY β β· β Γ CY β , arising from relations between the corresponding quantum curves under specific constraints. This correspondence suggests an equivariant extension and points toward a geometric origin of the topological string/spectral theory (TS/ST) correspondence, while offering new insight into the structure of the holographic duality.
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BibTeX
@article{hristov2026partition,
title = {{S3 partition functions and equivariant CY4/CY3 correspondence from quantum curves}},
author = {Kiril Hristov and Naotaka Kubo and Yi Pang},
journal = {Journal of High Energy Physics},
year = {2026},
month = nov,
doi = {10.1007/jhep11(2026)027},
url = {https://link.springer.com/article/10.1007/JHEP11(2026)027},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - S3 partition functions and equivariant CY4/CY3 correspondence from quantum curves
AU - Kiril Hristov
AU - Naotaka Kubo
AU - Yi Pang
PY - 2026
DA - 2026/11/04
JO - Journal of High Energy Physics
DO - 10.1007/jhep11(2026)027
UR - https://link.springer.com/article/10.1007/JHEP11(2026)027
AB - A bstract : We study the perturbative large- N expansion of the round three-sphere partition function in a class of M2-brane theories, including flavored SYM and ABJM theories as well as more general 3d theories admitting dual ( p , q ) 5-brane web descriptions. Using the Fermi gas formalism and quantum curve techniques, we derive the Airy-function representation of the partition function and find exact agreement with predictions based on equivariant constant maps in topological string theory proposed in [1]. In particular, we provide affirmative tests of this proposal for the toric geometries β Γ π (the conifold), the cone over the Sasakian space Q 1 , 1 , 1 , and β Γ SPP (the suspended pinch point). Motivated by a recent conjecture in [2], we further propose a novel equivariant correspondence between distinct toric Calabi-Yau manifolds of the form CY β β· β Γ CY β , arising from relations between the corresponding quantum curves under specific constraints. This correspondence suggests an equivariant extension and points toward a geometric origin of the topological string/spectral theory (TS/ST) correspondence, while offering new insight into the structure of the holographic duality.
SN - 1029-8479
ER -