Pith Number

pith:MC7UOKIU

pith:2026:MC7UOKIU2KL2XYD5UD73AZI22D

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Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories

Leonardo Santilli

Sphere partition functions of 3d N=4 Chern-Simons-matter theories equal sums of twisted traces on tensor products of Verma modules over quantized moduli spaces of vacua.

arxiv:2604.20959 v2 · 2026-04-22 · hep-th · math.AG · math.RT

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Claims

C1strongest claim

The sphere partition function of 3d N=4 Chern-Simons-matter theories equals a sum of twisted traces on tensor products of Verma modules over the quantization of the moduli spaces of vacua.

C2weakest assumption

That the quantization of the moduli spaces of vacua is well-defined for the theories under consideration and that the twisted traces on the corresponding Verma modules reproduce the physical partition function.

C3one line summary

Sphere partition functions of 3d N=4 Chern-Simons-matter theories are conjectured to equal sums of twisted traces on Verma modules over quantized moduli stacks of vacua.

Receipt and verification

First computed	2026-05-21T01:05:19.348472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bf472914d297abe07da0ffb0651ad0d57b6690a77836f8a39aef726943175b

Aliases

arxiv: 2604.20959 · arxiv_version: 2604.20959v2 · doi: 10.48550/arxiv.2604.20959 · pith_short_12: MC7UOKIU2KL2 · pith_short_16: MC7UOKIU2KL2XYD5 · pith_short_8: MC7UOKIU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MC7UOKIU2KL2XYD5UD73AZI22D \
  | 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: 60bf472914d297abe07da0ffb0651ad0d57b6690a77836f8a39aef726943175b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260ff2c36e7a3898bd9475cd64df946230c0512ecf0beb360342c98f00923606",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-22T18:00:04Z",
    "title_canon_sha256": "2a880e57349b911954ad0b25dd181c61eb1b85e509039f1f635f69134f35cef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.20959",
    "kind": "arxiv",
    "version": 2
  }
}