Pith Number

pith:4DQCPJ2J

pith:2026:4DQCPJ2J3XXUEXKGPHRGC57FGO

not attested not anchored not stored refs resolved

Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$

Debarshi Basu, Mingshuai Xu

TTbar deformation preserves the chaos bound in anomalous two-dimensional CFTs while altering the butterfly velocity.

arxiv:2605.12616 v1 · 2026-05-12 · hep-th

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Record completeness

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4 Citations open

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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 find that the chaos bound remains saturated, while the butterfly velocity exhibits nontrivial dependence on the deformation parameter and anomaly. We also identify a Hagedorn regime in which the chaotic response becomes complex valued, signaling a breakdown of the physical branch of the deformed theory.

C2weakest assumption

That the pole-skipping and shock-wave analyses remain valid in the TTbar-deformed theory with anomaly and that the holographic dual in topologically massive gravity continues to capture the correct chaotic dynamics of the boundary theory.

C3one line summary

In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.

References

102 extracted · 102 resolved · 47 Pith anchors

[1] Zamolodchikov,Expectation value of composite fieldTTin two-dimensional quantum field theory,hep-th/0401146 · arXiv:hep-th/0401146

[2] On space of integrable quantum field theories 2017 · arXiv:1608.05499

[3] T ¯T-deformed 2D Quantum Field Theories 2016 · arXiv:1608.05534

[4] TheT Tdeformation of quantum field theory as random geometry 2018 · arXiv:1801.06895

[5] Moving the CFT into the bulk with $T\bar T$ 2018 · arXiv:1611.03470

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:10:00.508419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e027a749ddef425d4679e26177e53387654df1f62e48686fb9bfe5566f533f

Aliases

arxiv: 2605.12616 · arxiv_version: 2605.12616v1 · doi: 10.48550/arxiv.2605.12616 · pith_short_12: 4DQCPJ2J3XXU · pith_short_16: 4DQCPJ2J3XXUEXKG · pith_short_8: 4DQCPJ2J

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4DQCPJ2J3XXUEXKGPHRGC57FGO \
  | 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: e0e027a749ddef425d4679e26177e53387654df1f62e48686fb9bfe5566f533f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8633862e2e7d0debb5fca234d2f1b65c850ee8a181534d07c28411c5a7eb72d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-12T18:05:29Z",
    "title_canon_sha256": "a883920ebf10c5616df8ec98ab44db89458796a2b193437219b23ede1fcb97e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12616",
    "kind": "arxiv",
    "version": 1
  }
}