Pith Number

pith:QF6D7ZHO

pith:2026:QF6D7ZHOWVVUXHYVGDEP523WPA

not attested not anchored not stored refs pending

Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes

Keshav Dasgupta, Radu Tatar

M-theory on G2-structured seven-manifolds uses torsion classes to characterize supersymmetry breaking in four dimensions.

arxiv:2605.05333 v2 · 2026-05-06 · hep-th · math-ph · math.MP

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Claims

C1strongest claim

we show that the G2 torsion classes provide a natural and efficient way to characterize both the torsion of the seven-manifold and the resulting supersymmetry breaking in four dimensions. In particular, we argue that the pinching deformation lies in the 27 of G2, and that under the two reductions it is distributed differently into the W2 and W3 torsion classes of the corresponding SU(3) structures.

C2weakest assumption

The Morrison-Vafa limit together with the doubled-spectrum decomposition and local pinched structure must be specified; the claim that the two resulting theories may become U-dual in the supersymmetric limit relies on suitable assumptions that are not detailed in the abstract.

C3one line summary

G2 torsion classes characterize the torsion and supersymmetry breaking in an M-theory compactification on a deformed K3 fibration over a three-manifold, leading to Type 0A and Type 0 heterotic theories upon dimensional reduction with the pinching deformation assigned to specific SU(3) torsion class.

Receipt and verification

First computed	2026-05-22T02:04:41.764288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817c3fe4eeb56b4b9f1530c8feeb7678236a7eef94afae42e043add98ae5bd4e

Aliases

arxiv: 2605.05333 · arxiv_version: 2605.05333v2 · doi: 10.48550/arxiv.2605.05333 · pith_short_12: QF6D7ZHOWVVU · pith_short_16: QF6D7ZHOWVVUXHYV · pith_short_8: QF6D7ZHO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QF6D7ZHOWVVUXHYVGDEP523WPA \
  | 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: 817c3fe4eeb56b4b9f1530c8feeb7678236a7eef94afae42e043add98ae5bd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110ead7b1557d19ff521d36c1a6391ba499174b906c2fa82d987bf0c5aa593cb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-06T18:05:32Z",
    "title_canon_sha256": "55a53f33be9096dc11a8862b615938dbbdd6abef8aadd3535512e4597f70bfca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05333",
    "kind": "arxiv",
    "version": 2
  }
}