RECORD
Small Instanton Transitions in Heterotic M-Theory
High Energy Physics - Theory · Submitted 21 Jan 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition.
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
The abstract, sentence by sentence
We discuss non-perturbative phase transitions, within the context of heterotic M-theory, which occur when all, or part, of the wrapped five-branes in the five-dimensional bulk space come into direct contact with a boundary brane. These transitions involve the transformation of the five-brane into a ``small instanton'' on the Calabi-Yau space at the boundary brane, followed by the ``smoothing out'' of the small instanton into a holomorphic vector bundle. Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition. We compute the conditions under which a small instanton phase transition can occur and present a number of explicit, phenomenologically relevant examples.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss non-perturbative phase transitions, within the context of heterotic M-theory, which occur when all, or part, of the wrapped five-branes in the five-dimensional bulk space come into direct contact with a boundary brane. | contribution 0.78 | 0.40 | 0.17 | asserted 0.98 |
| s1 | These transitions involve the transformation of the five-brane into a ``small instanton'' on the Calabi-Yau space at the boundary brane, followed by the ``smoothing out'' of the small instanton into a holomorphic vector bundle. | contribution 0.30 | 0.28 | 0.17 | asserted 1.00 |
| s2 | Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition. | result 0.70 | 0.55 | 0.34 | asserted 1.00 |
| s3 | We compute the conditions under which a small instanton phase transition can occur and present a number of explicit, phenomenologically relevant examples. | contribution 0.99 | 0.96 | 0.19 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We discuss non-perturbative phase transitions, within the context of heterotic M-theory, which occur when all, or part, of the wrapped five-branes in the five-dimensional bulk space come into direct contact with a boundary brane. These transitions involve the transformation of the five-brane into a ``small instanton'' on the Calabi-Yau space at the boundary brane, followed by the ``smoothing out'' of the small instanton into a holomorphic vector bundle. Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition. We compute the conditions under which a small instanton phase transition can occur and present a number of explicit, phenomenologically relevant examples.
Human review
References
How the literature uses it
13 arXiv papers cite this in 27 sentences
Papers citing it · 16 sentences without a confident label
Builds on it 1 paper
-
For example, if one were to obtain $V̂$ via the following Hecke transform instead [ref] 0 →V̂ →V ⊕O→F_C →0 , one would obtain a $V̂$ whose rank is one greater than that of $V$.
Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory · The conifold as a gravitational small instanton transition · 0.89
Compares with it 1 paper
-
In particular, the example above is a chirality changing transition that is unique compared to those classified in [ref] for Weierstrass form (in which “vertical" transitions changed only the gauge group and “horizontal" curves led to chirality change).
Extending the Geometry of Heterotic Spectral Cover Constructions · New Chirality Changing Small Instanton Transitions · 0.96
Cites it as background 5 papers
-
As first described in [ref] , and reviewed in Section [ref], the mathematical process of “absorbing" a 5-brane into a vector bundle proceeds in several steps.
Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory · Bundles through the conifold transition · 0.80
-
This subject was first explored in depth in [ref] and there a simple form for such transitions were found for smooth spectral covers within Weierstrass models.
Extending the Geometry of Heterotic Spectral Cover Constructions · Small Instanton Transitions and Spectral Covers · 0.84
-
For earlier studies on small instanton transition, the reader may refer to [ref] .
Toward the Gravity Dual of Heterotic Small Instantons · Introduction · 0.81
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.