Pith. Sign in

RECORD

Heterotic compactifications with principal bundles for general groups and general levels

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
J. Distler, E. Sharpe

High Energy Physics - Theory · Submitted 26 Jan 2007

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

The authors' main claim This technology gives us a very general approach to handling heterotic compactifications with arbitrary principal bundles.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDhep-th/0701244 (version 3)
Pith ID725Y34XK, Pith's permanent record of this paper and its review
CitationE. Sharpe, J. Distler. "Heterotic compactifications with principal bundles for general groups and general levels." arXiv:hep-th/0701244 (2007). https://pith.science/paper/725Y34XK
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, 5,758 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.88 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We examine to what extent heterotic string worldsheets can describe arbitrary E8xE8 gauge fields. The traditional construction of heterotic strings builds each E8 via a Spin(16)/Z2 subgroup, typically realized as a current algebra by left-moving fermions, and as a result, only E8 gauge fields reducible to Spin(16)/Z2 gauge fields are directly realizable in standard constructions. However, there exist perturbatively consistent E8 gauge fields which can not be reduced to Spin(16)/Z2, and so cannot be described within standard heterotic worldsheet constructions. A natural question to then ask is whether there exists any (0,2) SCFT that can describe such E8 gauge fields. To answer this question, we first show how each ten-dimensional E8 partition function can be built up using other subgroups than Spin(16)/Z2, then construct ``fibered WZW models'' which allow us to explicitly couple current algebras for general groups and general levels to heterotic strings. This technology gives us a very general approach to handling heterotic compactifications with arbitrary principal bundles. It also gives us a physical realization of some elliptic genera constructed recently by Ando and Liu.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We examine to what extent heterotic string worldsheets can describe arbitrary E8xE8 gauge fields. contribution 0.61 0.83 0.06 unclear 0.58
s1 The traditional construction of heterotic strings builds each E8 via a Spin(16)/Z2 subgroup, typically realized as a current algebra by left-moving fermions, and as a result, only E8 gauge fields reducible to Spin(16)/Z2 gauge fields are directly realizable in standard constructions. background 0.98 0.05 0.05 asserted 1.00
s2 However, there exist perturbatively consistent E8 gauge fields which can not be reduced to Spin(16)/Z2, and so cannot be described within standard heterotic worldsheet constructions. gap 0.63 0.18 0.06 asserted 1.00
s3 A natural question to then ask is whether there exists any (0,2) SCFT that can describe such E8 gauge fields. gap 0.94 0.06 0.04 unclear 0.65
s4 To answer this question, we first show how each ten-dimensional E8 partition function can be built up using other subgroups than Spin(16)/Z2, then construct ``fibered WZW models'' which allow us to explicitly couple current algebras for general groups and general levels to heterotic strings. method 0.76 0.95 0.25 asserted 1.00
s5 This technology gives us a very general approach to handling heterotic compactifications with arbitrary principal bundles. interpretation 0.63 0.87 0.42 asserted 1.00
s6 It also gives us a physical realization of some elliptic genera constructed recently by Ando and Liu. result 0.75 0.83 0.10 asserted 0.91

What kind of paper the classifier reports this is: method or tool 0.96 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v3
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 examine to what extent heterotic string worldsheets can describe arbitrary E8xE8 gauge fields. The traditional construction of heterotic strings builds each E8 via a Spin(16)/Z2 subgroup, typically realized as a current algebra by left-moving fermions, and as a result, only E8 gauge fields reducible to Spin(16)/Z2 gauge fields are directly realizable in standard constructions. However, there exist perturbatively consistent E8 gauge fields which can not be reduced to Spin(16)/Z2, and so cannot be described within standard heterotic worldsheet constructions. A natural question to then ask is whether there exists any (0,2) SCFT that can describe such E8 gauge fields. To answer this question, we first show how each ten-dimensional E8 partition function can be built up using other subgroups than Spin(16)/Z2, then construct ``fibered WZW models'' which allow us to explicitly couple current algebras for general groups and general levels to heterotic strings. This technology gives us a very general approach to handling heterotic compactifications with arbitrary principal bundles. It also gives us a physical realization of some elliptic genera constructed recently by Ando and Liu.

Human review

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

References
How the literature uses it

14 arXiv papers cite this in 21 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 · 15 sentences without a confident label

Builds on it 1 paper
  • On the other hand, and in a dual sense, here we are looking at the higher brane version of Distler-Sharpe's heterotic string sigma models on $Q$ (instead of on $M$) [ref] , as an analogous “fibered” version of the heterotic NS5-brane sigma-model.

    Topological actions via gauge variations of higher structures · Introduction · 0.98

Uses its data or values 1 paper
  • From [ref] , [ref] , there are two integrable representations of $G_2$ at level 1, namely $[1]$, $[7]$, which obey [equation] We can write the ring as [equation] where we have identified $x$ with $[7]$.

    Dilaton shifts, probability measures, and decomposition · $G/G$ model · 0.84

Cites it as background 4 papers

Discussion

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