Heterotic Matrix theory with Wilson lines on the lightlike circle

Morten Krogh

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Heterotic Matrix theory with Wilson lines on the lightlike circle

Morten Krogh

High Energy Physics - Theory · Submitted 11 Mar 1998

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

The authors' main claim We develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle.

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,990 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.98 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle. This is done by using appropriate T-dualities. The method works for an infinite number of Wilson lines, but not for all. The matrix model is the theory on the D-string of type I wrapped on a circle with a SO(32) Wilson line on the circle. The radius of the circle depends on the Wilson line. This is a 1+1 dimensional O(N) theory on a circle. N depends not only on the momentum around the lightlike circle but also on the winding and SO(32) quantum numbers of the state. Perspectives for obtaining a matrix model for all Wilson lines are discussed.

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 develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle.	contribution 1.00	0.95	0.37	asserted 1.00
s1	This is done by using appropriate T-dualities.	method 1.00	0.76	0.04	asserted 1.00
s2	The method works for an infinite number of Wilson lines, but not for all.	limitation 1.00	0.81	0.17	asserted 1.00
s3	The matrix model is the theory on the D-string of type I wrapped on a circle with a SO(32) Wilson line on the circle.	contribution 0.45	0.77	0.31	asserted 1.00
s4	The radius of the circle depends on the Wilson line.	result 0.89	0.67	0.05	asserted 1.00
s5	This is a 1+1 dimensional O(N) theory on a circle.	result 0.59	0.65	0.09	asserted 1.00
s6	N depends not only on the momentum around the lightlike circle but also on the winding and SO(32) quantum numbers of the state.	result 0.89	0.74	0.10	asserted 1.00
s7	Perspectives for obtaining a matrix model for all Wilson lines are discussed.	future work 0.99	0.50	0.08	unclear 0.65

What kind of paper the classifier reports this is: theoretical result 0.89 · evidence from proof or derivation 0.92.

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arXiv listing abstract v1

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references and citing sentences
relations to other papers

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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 develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle. This is done by using appropriate T-dualities. The method works for an infinite number of Wilson lines, but not for all. The matrix model is the theory on the D-string of type I wrapped on a circle with a SO(32) Wilson line on the circle. The radius of the circle depends on the Wilson line. This is a 1+1 dimensional O(N) theory on a circle. N depends not only on the momentum around the lightlike circle but also on the winding and SO(32) quantum numbers of the state. Perspectives for obtaining a matrix model for all Wilson lines are discussed.

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References

Forward citations

Cited by 2 Pith papers

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

Heterotic String Sigma Models: Discrete Light Cone Quantization and Its Current-Current Deformation
hep-th 2025-05 conditional novelty 7.0 of 10

The authors build a heterotic nonrelativistic string sigma model, show it defines heterotic string theory in DLCQ via T-duality, and recover the relativistic heterotic string through a current-current deformation.
U-duality and M-Theory
hep-th 1998-09 accept novelty 5.0 of 10

Taking U-duality as an exact symmetry of toroidally compactified M-theory fixes the BPS multiplet structure and yields mass formulae for 1/2- and 1/4-BPS states, at the cost of predicting states in D<=3 that have no i...

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

Cites it as background 2 papers

A matrix description of the $Spin(32)/_2$ heterotic string was proposed in [ref] .

A New String in Ten Dimensions? · The $SO(32)$ strings · 0.93
We put forward in this paper a new sigma model describing the heterotic non-relativistic string, whose second quantization corresponds to heterotic matrix string theory (see e.g. [ref] ).

Heterotic String Sigma Models: Discrete Light Cone Quantization and Its Current-Current Deformation · Introduction · 0.80

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