External Fields as Intrinsic Geometry

John Madore; Julius Wess; Peter Schupp; Stefan Schraml

RECORD

External Fields as Intrinsic Geometry

John Madore, Stefan Schraml, Peter Schupp, Julius Wess

High Energy Physics - Theory · Submitted 28 Sep 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The noncommutative structure can be considered as containing extra modes all of whose dynamics are given by the one abelian action.

how it is stated · asserted 0.74 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,240 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.85 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time. We shall describe and compare two other external fields which can be absorbed into an appropriate redefinition of the geometry, this time a noncommutative one. We shall also recall some previous incidences of the same phenomena involving bosonic field theories. It is known that some such theories on the commutative geometry of space-time can be re-expressed as abelian-gauge theory in an appropriate noncommutative geometry. The noncommutative structure can be considered as containing extra modes all of whose dynamics are given by the one abelian action.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time.	background 1.00	0.08	0.11	asserted 1.00
s1	We shall describe and compare two other external fields which can be absorbed into an appropriate redefinition of the geometry, this time a noncommutative one.	contribution 0.99	0.74	0.19	asserted 0.79
s2	We shall also recall some previous incidences of the same phenomena involving bosonic field theories.	background 0.72	0.21	0.03	asserted 0.72
s3	It is known that some such theories on the commutative geometry of space-time can be re-expressed as abelian-gauge theory in an appropriate noncommutative geometry.	background 1.00	0.04	0.11	asserted 0.85
s4	The noncommutative structure can be considered as containing extra modes all of whose dynamics are given by the one abelian action.	interpretation 0.73	0.14	0.20	asserted 0.74

What kind of paper the classifier reports this is: theoretical result 0.91 · evidence from argument 0.61.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time. We shall describe and compare two other external fields which can be absorbed into an appropriate redefinition of the geometry, this time a noncommutative one. We shall also recall some previous incidences of the same phenomena involving bosonic field theories. It is known that some such theories on the commutative geometry of space-time can be re-expressed as abelian-gauge theory in an appropriate noncommutative geometry. The noncommutative structure can be considered as containing extra modes all of whose dynamics are given by the one abelian action.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

2 arXiv papers cite this in 3 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Builds on it 1 paper

This idea was further developed in [ref] where it was shown that any commutative (but possibly nonabelian) gauge algebra can be extended to a noncommutative version by a generalization of the Seiberg-Witten map.

Quantum Space-Time and Noncommutative Gauge Field Theories · The Seiberg-Witten map · 0.93

Cites it as background 1 paper

The general details of the Fayet models may be found in [ref] and the intrinsic geometry has been explained in [ref] .

On Real Intrinsic Wall Crossings · D-term Potentials and Real Intrinsic Geometry · 1.00

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.