Localisation of 𝒩 = (2, 2) theories on spindles of both twists

Abstract

A bstract : We consider two-dimensional 𝒩 = (2 , 2) supersymmetric field theories living on a spindle 𝕎ℂℙ_[n₁,n₂]¹ WCP n 1 n 2 1 . Starting from the spindle solutions of five-dimensional STU gauged supergravity, we construct theories on a spindle which preserve supersymmetry via either the twist or anti-twist mechanism and admit two Killing spinors of opposite R-charge. While the study of field theories on anti-twisted spindles has already been undertaken in some detail, the advantage of our approach allows for the derivation of analogous results in the twist case. We apply the technique of supersymmetric localisation to compute the exact partition function for a theory consisting of an abelian vector multiplet and a charged chiral multiplet in the presence of a Fayet-Iliopoulos term. We compare and contrast the results for the twisted and anti-twisted spindle and find a general formula which encompasses the partition function for both cases simultaneously.

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BibTeX

@article{jeon2026localisation,
  title = {{Localisation of 𝒩 = (2, 2) theories on spindles of both twists}},
  author = {Imtak Jeon and Hyojoong Kim and Nakwoo Kim and Aaron Poole and Augniva Ray},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)006},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)006},
  note = {CC BY 4.0},
}

RIS

TY  - JOUR
TI  - Localisation of 𝒩 = (2, 2) theories on spindles of both twists
AU  - Imtak Jeon
AU  - Hyojoong Kim
AU  - Nakwoo Kim
AU  - Aaron Poole
AU  - Augniva Ray
PY  - 2026
DA  - 2026/11/02
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)006
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)006
AB  - A bstract : We consider two-dimensional 𝒩 = (2 , 2) supersymmetric field theories living on a spindle 𝕎ℂℙ_[n_1,n_2]^1 WCP n 1 n 2 1 . Starting from the spindle solutions of five-dimensional STU gauged supergravity, we construct theories on a spindle which preserve supersymmetry via either the twist or anti-twist mechanism and admit two Killing spinors of opposite R-charge. While the study of field theories on anti-twisted spindles has already been undertaken in some detail, the advantage of our approach allows for the derivation of analogous results in the twist case. We apply the technique of supersymmetric localisation to compute the exact partition function for a theory consisting of an abelian vector multiplet and a charged chiral multiplet in the presence of a Fayet-Iliopoulos term. We compare and contrast the results for the twisted and anti-twisted spindle and find a general formula which encompasses the partition function for both cases simultaneously.
SN  - 1029-8479
ER  -

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