Pith Number

pith:32ICIWS6

pith:2026:32ICIWS6ZI56YVAXQ5LSHUAPX5

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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists

Aaron Poole, Augniva Ray, Hyojoong Kim, Imtak Jeon, Nakwoo Kim

A single localisation formula gives the exact partition function for N=(2,2) theories on spindles under both twist and anti-twist.

arxiv:2604.17975 v2 · 2026-04-20 · hep-th

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Claims

C1strongest claim

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.

C2weakest assumption

The 2D theories preserve supersymmetry via twist or anti-twist mechanisms with two Killing spinors of opposite R-charge, constructed from spindle solutions of five-dimensional STU gauged supergravity.

C3one line summary

A general formula is derived for the exact partition function of abelian vector and charged chiral multiplets on both twisted and anti-twisted spindles.

Cited by

1 paper in Pith

Some universalities in the partition functions of low-dimensional gravity models

Receipt and verification

First computed	2026-06-01T01:02:39.848079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de90245a5eca3bec5417875723d00fbf5ab53a3359a52dbb2f0920ef6904da34

Aliases

arxiv: 2604.17975 · arxiv_version: 2604.17975v2 · doi: 10.48550/arxiv.2604.17975 · pith_short_12: 32ICIWS6ZI56 · pith_short_16: 32ICIWS6ZI56YVAX · pith_short_8: 32ICIWS6

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/32ICIWS6ZI56YVAXQ5LSHUAPX5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: de90245a5eca3bec5417875723d00fbf5ab53a3359a52dbb2f0920ef6904da34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d844a8a80c50f5b84aa068ea5b51d21591fafda94bef98404beaf05e6a57b900",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-20T08:53:18Z",
    "title_canon_sha256": "abbf2c3aa9de772842766da4c2b1f95abdce3f4ab69f69db0e216fef82e8526b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.17975",
    "kind": "arxiv",
    "version": 2
  }
}