Pith. sign in

REVIEW 12 cited by

Heisenberg Groups and Noncommutative Fluxes

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/0605200 v2 pith:YHHFIMW5 submitted 2006-05-19 hep-th

Daniel S. Freed , Gregory W. Moore , Graeme Segal This is my paper · ORCID
classification hep-th
keywords fieldtheoriesstringtheoryapproachconformalfieldsfluxes
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We develop a group-theoretical approach to the formulation of generalized abelian gauge theories, such as those appearing in string theory and M-theory. We explore several applications of this approach. First, we show that there is an uncertainty relation which obstructs simultaneous measurement of electric and magnetic flux when torsion fluxes are included. Next we show how to define the Hilbert space of a self-dual field. The Hilbert space is Z2-graded and we show that, in general, self-dual theories (including the RR fields of string theory) have fermionic sectors. We indicate how rational conformal field theories associated to the two-dimensional Gaussian model generalize to (4k+2)-dimensional conformal field theories. When our ideas are applied to the RR fields of string theory we learn that it is impossible to measure the K-theory class of a RR field. Only the reduction modulo torsion can be measured.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the SymTFTs of Finite Non-Abelian Symmetries

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Constructs BF-like 3D SymTFT Lagrangians for finite non-Abelian groups presented as extensions, yielding surface-attaching non-genuine line operators and Drinfeld-center fusion rules.

  2. SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    The 7d SymTFT for 6d (2,0) D_N SCFTs is derived from M-theory on AdS7 × RP4, including the outer-automorphism Z2 sector, and is used to derive non-invertible symmetries and anomaly polynomials.

  3. Symmetry TFTs from String Theory

    hep-th 2021-12 unverdicted novelty 7.0 of 10

    Constructs Symmetry TFTs for M-theory compactifications by reducing the topological sector of 11d supergravity on the boundary of X using differential cohomology, with applications to 7d SYM and 5d SCFTs confirmed via...

  4. Tilts from 2-Groups

    hep-th 2026-08 conditional novelty 6.0 of 10

    Line operators charged under the 1-form part of a 2-group symmetry must generically break the 0-form part, enforced by a family anomaly derived from Wess-Zumino consistency.

  5. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0 of 10

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

  6. Anomaly-induced vanishing of brane partition functions

    hep-th 2025-10 conditional novelty 6.0 of 10

    Anomalies imply vanishing brane partition functions; this yields unified derivations of the Freed-Witten and M5 shifted-quantization conditions and new S-fold D3-brane constraints.

  7. Holography and discrete theta angles for disconnected gauge groups

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper derives missing torsion terms in the holographic symmetry TFT for so(2n) N=4 SYM and matches its gapped boundary conditions to the global forms and discrete theta angles of disconnected orthogonal gauge theories.

  8. (-1)-form symmetries from M-theory and SymTFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

  9. Higher Gauge Theory via Differential Nonabelian Cohomology

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Higher gauge fields receive a global infrared completion by electromagnetic flux quantization in differential nonabelian cohomology using cohesive homotopy theory, with applications to brane charges in K-theory and Co...

  10. Anomalous Continuous Translations

    cond-mat.str-el 2024-12 accept novelty 5.0 of 10

    Continuous translations are broken by an ABJ-like anomaly to a discrete non-Abelian symmetry in a broad class of non-relativistic continuum field theories.

  11. Higher Superspace Supergravity and its IR-Completions

    hep-th 2026-07 conditional novelty 4.0 of 10

    11D supergravity, its toroidal reductions, and M5-brane worldvolume flux are equivalent to Bianchi identities in characteristic L∞-algebras (lS4, cyc(lS4), tor(lS4), lS4S7), whose IR completions are classified by flux...

  12. Lectures on Generalized Symmetries

    hep-th 2023-07 unverdicted novelty 1.0 of 10

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

Pith tools