Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 309-314 |
| Seitenumfang | 6 |
| Fachzeitschrift | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Jahrgang | 762 |
| Publikationsstatus | Veröffentlicht - 10 Nov. 2016 |
Abstract
It was pointed out by Shifman and Yung that the critical superstring on X10=R4×Y6, where Y6 is the resolved conifold, appears as an effective theory for a U(2) Yang–Mills–Higgs system with four fundamental Higgs scalars defined on Σ2×R2, where Σ2 is a two-dimensional Lorentzian manifold. Their Yang–Mills model supports semilocal vortices on R2⊂Σ2×R2 with a moduli space X10. When the moduli of slowly moving thin vortices depend on the coordinates of Σ2, the vortex strings can be identified with critical fundamental strings. We show that similar results can be obtained for the low-energy limit of pure Yang–Mills theory on Σ2×Tp 2, where Tp 2 is a two-dimensional torus with a puncture p. The solitonic vortices of Shifman and Yung then get replaced by flat connections. Various ten-dimensional superstring target spaces can be obtained as moduli spaces of flat connections on Tp 2, depending on the choice of the gauge group. The full Green–Schwarz sigma model requires extending the gauge group to a supergroup and augmenting the action with a topological term.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
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in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 762, 10.11.2016, S. 309-314.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Superstring limit of Yang–Mills theories
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Funding Information: This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 . This article is based upon work from COST Action QSPACE, supported by COST ( European Cooperation in Science and Technology , grant MP1405 ). Publisher Copyright: © 2016 The Author(s) Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2016/11/10
Y1 - 2016/11/10
N2 - It was pointed out by Shifman and Yung that the critical superstring on X10=R4×Y6, where Y6 is the resolved conifold, appears as an effective theory for a U(2) Yang–Mills–Higgs system with four fundamental Higgs scalars defined on Σ2×R2, where Σ2 is a two-dimensional Lorentzian manifold. Their Yang–Mills model supports semilocal vortices on R2⊂Σ2×R2 with a moduli space X10. When the moduli of slowly moving thin vortices depend on the coordinates of Σ2, the vortex strings can be identified with critical fundamental strings. We show that similar results can be obtained for the low-energy limit of pure Yang–Mills theory on Σ2×Tp 2, where Tp 2 is a two-dimensional torus with a puncture p. The solitonic vortices of Shifman and Yung then get replaced by flat connections. Various ten-dimensional superstring target spaces can be obtained as moduli spaces of flat connections on Tp 2, depending on the choice of the gauge group. The full Green–Schwarz sigma model requires extending the gauge group to a supergroup and augmenting the action with a topological term.
AB - It was pointed out by Shifman and Yung that the critical superstring on X10=R4×Y6, where Y6 is the resolved conifold, appears as an effective theory for a U(2) Yang–Mills–Higgs system with four fundamental Higgs scalars defined on Σ2×R2, where Σ2 is a two-dimensional Lorentzian manifold. Their Yang–Mills model supports semilocal vortices on R2⊂Σ2×R2 with a moduli space X10. When the moduli of slowly moving thin vortices depend on the coordinates of Σ2, the vortex strings can be identified with critical fundamental strings. We show that similar results can be obtained for the low-energy limit of pure Yang–Mills theory on Σ2×Tp 2, where Tp 2 is a two-dimensional torus with a puncture p. The solitonic vortices of Shifman and Yung then get replaced by flat connections. Various ten-dimensional superstring target spaces can be obtained as moduli spaces of flat connections on Tp 2, depending on the choice of the gauge group. The full Green–Schwarz sigma model requires extending the gauge group to a supergroup and augmenting the action with a topological term.
UR - http://www.scopus.com/inward/record.url?scp=84991687046&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2016.09.032
DO - 10.1016/j.physletb.2016.09.032
M3 - Article
AN - SCOPUS:84991687046
VL - 762
SP - 309
EP - 314
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -