RECORD
Constant magnetic field in closed string theory: an exactly solvable model
High Energy Physics - Theory · Submitted 14 Nov 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase 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 consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. Like open string theory in a constant gauge field, or closed string theory on a torus, this model can be straightforwardly quantized and solved with its spectrum of states and partition function explicitly computed. Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase transition. We also construct heterotic string generalisations of this bosonic model in which the constant magnetic field is embedded either in the Kaluza-Klein or internal gauge group sector.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a simple model describing a closed bosonic string in a constant magnetic field. | contribution 0.84 | 0.79 | 0.04 | asserted 0.90 |
| s1 | Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). | result 0.35 | 0.51 | 0.08 | asserted 1.00 |
| s2 | The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. | result 0.74 | 0.71 | 0.09 | asserted 1.00 |
| s3 | Like open string theory in a constant gauge field, or closed string theory on a torus, this model can be straightforwardly quantized and solved with its spectrum of states and partition function explicitly computed. | method 0.63 | 0.75 | 0.17 | asserted 0.98 |
| s4 | Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase transition. | result 0.73 | 0.86 | 0.50 | hedged possibility 0.91 |
| s5 | We also construct heterotic string generalisations of this bosonic model in which the constant magnetic field is embedded either in the Kaluza-Klein or internal gauge group sector. | contribution 1.00 | 0.94 | 0.11 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v3
- 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 consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. Like open string theory in a constant gauge field, or closed string theory on a torus, this model can be straightforwardly quantized and solved with its spectrum of states and partition function explicitly computed. Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase transition. We also construct heterotic string generalisations of this bosonic model in which the constant magnetic field is embedded either in the Kaluza-Klein or internal gauge group sector.
Human review
References
How the literature uses it
5 arXiv papers cite this in 7 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
-
Following [ref] , we describe the latter as a Melvin background [ref] , whereby the Euclidean space-time, with complex coordinates $(z^1, z^2)$, is fibered over the $T^2$ via the introduction of the non-trivial monodromy [equation] where $i=1,2$, $x$ is the complex coordinate on the $T^2$ and $m̃_1 , m̃_2 ∈ℤ$ identify a generic one-cycle $m̃_1 + U m̃_2$ in $T^2$.
Refined Topological Amplitudes from the $\Omega$-Background in String Theory · $𝒩=2$ Heterotic String on the $Ω$-Background · 0.98
Cites it as background 1 paper
-
The prototype of a Melvin space [ref] deforming a single plane is characterised by the metric [equation] where $ρ$ and the angle $ϕ∈[0,2π)$ are the polar coordinates on $ℝ^2$, $y$ parametrises the unit circle $S^1$, and the ellipses stand for additional spectator coordinates.
Refined Topological Amplitudes from the $\Omega$-Background in String Theory · The Refined Topological Amplitudes · 0.93
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.