Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua

Berlin); Boris Kors; Dieter Lust (Humboldt U.; Lars Goerlich; Ralph Blumenhagen

RECORD

Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua

Ralph Blumenhagen, Lars Goerlich, Boris Kors, Dieter Lust (Humboldt U., Berlin)

High Energy Physics - Theory · Submitted 3 Mar 2000

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

The authors' main claim Using T-duality we find that the consistent description of open strings in asymmetric orbifolds requires to turn on background gauge fields on the D-branes.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-th/0003024 (version 2)

Pith IDIMGAUNWA, Pith's permanent record of this paper and its review

CitationBerlin), Boris Kors, Dieter Lust (Humboldt U., Lars Goerlich, Ralph Blumenhagen. "Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua." arXiv:hep-th/0003024 (2000). https://pith.science/paper/IMGAUNWA

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, 3,580 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We investigate the D-brane contents of asymmetric orbifolds. Using T-duality we find that the consistent description of open strings in asymmetric orbifolds requires to turn on background gauge fields on the D-branes. We derive the corresponding noncommutative geometry arising on such D-branes with mixed Neumann-Dirichlet boundary conditions directly by applying an asymmetric rotation to open strings with pure Dirichlet or Neumann boundary conditions. As a concrete application of our results we construct asymmetric type I vacua requiring open strings with mixed boundary conditions for tadpole cancellation.

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	We investigate the D-brane contents of asymmetric orbifolds.	contribution 0.87	0.90	0.07	asserted 0.67
s1	Using T-duality we find that the consistent description of open strings in asymmetric orbifolds requires to turn on background gauge fields on the D-branes.	result 0.91	0.94	0.31	asserted 1.00
s2	We derive the corresponding noncommutative geometry arising on such D-branes with mixed Neumann-Dirichlet boundary conditions directly by applying an asymmetric rotation to open strings with pure Dirichlet or Neumann boundary conditions.	method 0.38	0.95	0.28	asserted 1.00
s3	As a concrete application of our results we construct asymmetric type I vacua requiring open strings with mixed boundary conditions for tadpole cancellation.	contribution 0.84	0.95	0.27	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v2

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

We investigate the D-brane contents of asymmetric orbifolds. Using T-duality we find that the consistent description of open strings in asymmetric orbifolds requires to turn on background gauge fields on the D-branes. We derive the corresponding noncommutative geometry arising on such D-branes with mixed Neumann-Dirichlet boundary conditions directly by applying an asymmetric rotation to open strings with pure Dirichlet or Neumann boundary conditions. As a concrete application of our results we construct asymmetric type I vacua requiring open strings with mixed boundary conditions for tadpole cancellation.

Human review

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

References

Forward citations

Cited by 11 Pith papers

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

Noncommutative Compactifications of Type I Strings on Tori with Magnetic Background Flux
hep-th 2000-07 accept novelty 7.0 of 10

Magnetic flux on D-branes in toroidal Type I compactifications produces chiral, supersymmetry-breaking vacua with computable spectra and explicit Ramond-Ramond tadpole cancellation conditions.
Classical Black Hole Probes of UV Scales
hep-th 2025-02 conditional novelty 6.0 of 10

Minimal classical BPS black holes in string compactifications track the species or KK scale in infinite-distance limits, and violations may signal inconsistent EFTs.
Cobordism Classes and the Swampland
hep-th 2019-09 conditional novelty 6.0 of 10

A nonzero cobordism group in a quantum gravity theory implies a forbidden global symmetry, so consistent quantum gravity requires trivial cobordism, which predicts new non-supersymmetric defects in string theory.
Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
hep-th 2012-02 accept novelty 6.0 of 10

Freely-acting asymmetric Z_N orbifolds give exactly solvable closed-string flux backgrounds whose toroidal coordinates obey a non-commutative algebra set by the non-geometric flux and the winding number around a circle.
Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry
hep-th 2011-06 conditional novelty 6.0 of 10

At linear order in a constant three-form flux, closed-string tachyon amplitudes can be repackaged into a nonassociative tri-product, and the R-flux background is conjectured to flow to a left-right asymmetric conforma...

Show 6 more citing papers

T-duality and closed string non-commutative (doubled) geometry
hep-th 2010-10 conditional novelty 6.0 of 10

Closed string coordinates in twisted-torus and H-flux backgrounds fail to commute, with a commutator proportional to the string's momentum (or winding) in the third direction.
Discrete gauge symmetries in D-brane models
hep-th 2011-06 accept novelty 5.0 of 10

Discrete gauge symmetries including R-parity and baryon triality emerge generically in D-brane models as Z_N remnants of U(1) gauge symmetries with Stückelberg B∧F couplings.
Toward Realistic Intersecting D-Brane Models
hep-th 2005-01 accept novelty 3.0 of 10

A structured survey of intersecting D-brane model building: how gauge groups, chiral families, Yukawa couplings and soft terms arise from D-branes wrapping intersecting cycles, and why no fully realistic model exists yet.
String Cosmology: from the Early Universe to Today
hep-th 2023-03 conditional novelty 2.0 of 10

A comprehensive survey that organizes moduli stabilisation, string inflation, post-inflationary moduli domination, dark energy, and alternative early-universe scenarios into a single reference with observational targets.
Open Strings
hep-th 2002-04 accept novelty 2.0 of 10

A review showing how the torus, Klein bottle, annulus and Möbius amplitudes plus tadpole cancellation determine open-string spectra and gauge groups, bridging world-sheet orientifolds to D-brane and O-plane geometry.
Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
hep-th 2006-10 unverdicted

A comprehensive pedagogical review of four-dimensional orientifold and flux compactifications with D-branes, assembling model-building rules, effective-action methods, and statistical vacuum counts.

How the literature uses it

9 arXiv papers cite this in 12 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 · 8 sentences without a confident label

Cites it as support 1 paper

However, in all the examples we checked the null charged strings always exist and satisfy all the required consistency conditions[ In addition to the examples discussed in this paper, we checked the examples in [ref] , [ref] , [ref] .

String Defects, Supersymmetry and the Swampland · The Null Charged Strings Conjecture · 0.98

Cites it as background 3 papers

D-branes have been more or less explicitly considered in a variety of geometric [ref] and non-geometric [ref] contexts whereby the parent Type II theory admits some involution exchanging Left and Right movers [ref] .

Bound-states of D-branes in L-R asymmetric superstring vacua · Introduction · 0.95
This type of compactification was discussed in [ref] .

Fluxbrane Inflation · Potential via one-loop string computation · 0.87
These so-called magnetized branes, and the T-dual branes on 3-cycles are familiar from the model building literature with magnetized and/or intersecting D-brane models, see [ref] , also [ref] for reviews.

Classical Black Hole Probes of UV Scales · BPS Black Hole Probes · 1.00

Discussion

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