Pith Number

pith:XCIRJ3IF

pith:2023:XCIRJ3IFGGQS54VDHDUICYQ6XI

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Lectures on Generalized Symmetries

Arthur Platschorre, Dewi S.W. Gould, Hannah Tillim, Lakshya Bhardwaj, Lea E. Bottini, Liam Gladden, Ludovic Fraser-Taliente

Generalized global symmetries, especially higher-form symmetries, provide a consistent framework for analyzing quantum field theories including their anomalies, gauging, and breaking patterns.

arxiv:2307.07547 v2 · 2023-07-14 · hep-th

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Claims

C1strongest claim

Generalized global symmetries, especially higher-form symmetries, provide a consistent framework for analyzing quantum field theories including their 't Hooft anomalies, gauging, spontaneous symmetry breaking, and mixings via higher-group structures, as illustrated with gauge theory examples.

C2weakest assumption

The reader has sufficient prior knowledge of conventional quantum field theory and gauge theories to follow the advanced topics on anomalies, SymTFTs, and holographic encodings.

C3one line summary

Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.

References

221 extracted · 221 resolved · 59 Pith anchors

[1] ICTP Lectures on (Non-)Invertible Generalized Symmetries · arXiv:2305.18296

[2] Introduction to Generalized Global Symmetries in QFT and Particle Physics

[3] An introduction to higher-form symmetries

[4] Generalized Global Symmetries 2015 · arXiv:1412.5148

[5] Quantum Field Theory of Nonabelian Strings and Vortices 1992 · arXiv:hep-th/9112038

Formal links

3 machine-checked theorem links

Cited by

28 papers in Pith

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SymTFT construction of gapless exotic-foliated dual models

Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory

Receipt and verification

First computed	2026-05-17T23:38:13.858292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89114ed0531a12ef2a338e881621eba394c8f094be10e8f620712cea2712716

Aliases

arxiv: 2307.07547 · arxiv_version: 2307.07547v2 · doi: 10.48550/arxiv.2307.07547 · pith_short_12: XCIRJ3IFGGQS · pith_short_16: XCIRJ3IFGGQS54VD · pith_short_8: XCIRJ3IF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XCIRJ3IFGGQS54VDHDUICYQ6XI \
  | 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: b89114ed0531a12ef2a338e881621eba394c8f094be10e8f620712cea2712716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64727b78d6b823fcccf2fef22bdc9d3654ca4edf26fc3327ee712da9f3e0be5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-07-14T18:00:00Z",
    "title_canon_sha256": "586d743bf498cf5ac1a8815e1115d9f46b6dcd1f4ac3030c8e17098712faca24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07547",
    "kind": "arxiv",
    "version": 2
  }
}