Pith Number

pith:LM6BV2PO

pith:2026:LM6BV2POBECW6HUWOTM7QHVMNN

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Crosscap Defects

Anders Wallberg, Nadav Drukker, Shota Komatsu

Crosscap defects arise from Z2 quotients of spacetime and generalize CFT on real projective space to higher codimensions.

arxiv:2604.19868 v2 · 2026-04-21 · hep-th · cond-mat.stat-mech

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We introduce a novel class of defects, termed crosscap defects, in conformal field theory (CFT) in general dimensions. These arise from quotienting the spacetime by a Z2 automorphism, and provide higher-codimension generalisations of CFT on real projective space (RP^d).

C2weakest assumption

The Z2 automorphism admits a p-dimensional fixed locus that preserves an SO(p+1,1)×PO(d-p) subgroup of the conformal group, allowing a consistent definition of the defect and its three OPE channels in general dimensions.

C3one line summary

Crosscap defects are introduced in CFTs via Z2 quotients, with crossing equations derived and CFT data computed in the O(N) model at Gaussian and Wilson-Fisher points showing absent displacement and tilt operators for generic p.

References

75 extracted · 75 resolved · 36 Pith anchors

[1] The Conformal Bootstrap: Theory, Numerical Techniques, and Applications 2019 · arXiv:1805.04405

[2] The bootstrap program for boundary CFTd 2013 · arXiv:1210.4258

[3] Boundary and interface CFTs from the conformal bootstrap 2015

[4] Defects in conformal field theory 2016 · arXiv:1601.02883

[5] The conformal bootstrap at ﬁnite temperature 2018 · arXiv:1802.10266

Cited by

2 papers in Pith

Aspects of Witten Diagrams for Holographic Defects

Thermal conformal partial waves from flat-space and defect CFT

Receipt and verification

First computed	2026-05-20T00:01:41.680859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3c1ae9ee09056f1e9674d9f81eac6b5bc06c05a9348b6887c3055ac1791186

Aliases

arxiv: 2604.19868 · arxiv_version: 2604.19868v2 · doi: 10.48550/arxiv.2604.19868 · pith_short_12: LM6BV2POBECW · pith_short_16: LM6BV2POBECW6HUW · pith_short_8: LM6BV2PO

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LM6BV2POBECW6HUWOTM7QHVMNN \
  | 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: 5b3c1ae9ee09056f1e9674d9f81eac6b5bc06c05a9348b6887c3055ac1791186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75c8ee21bf3b9c13bd40fc2d3a630b43bb199807a041cfaa5060c35e3dfdb1f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-21T18:00:01Z",
    "title_canon_sha256": "b3892d505ee6758112f556cf3d661e2d552786768e50dfca11dd336443ec2bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19868",
    "kind": "arxiv",
    "version": 2
  }
}