Superstring limit of Yang–Mills theories
| Autor: | Alexander D. Popov, Olaf Lechtenfeld |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Differential equations Nuclear and High Energy Physics Sigma model FOS: Physical sciences Yang–Mills existence and mass gap 01 natural sciences Moduli High Energy Physics::Theory Gauge group Quantum mechanics 0103 physical sciences ddc:530 010306 general physics Mathematical Physics Mathematical physics Physics Yang-Mills equation Conifold 010308 nuclear & particles physics Green–Schwarz mechanism Superstring theory Mathematical Physics (math-ph) lcsh:QC1-999 Moduli space High Energy Physics - Theory (hep-th) Dewey Decimal Classification::500 | Naturwissenschaften::530 | Physik Ordinary differential equations lcsh:Physics Higgs |
| Zdroj: | Physics Letters B, Vol 762, Iss, Pp 309-314 (2016) Physics Letters B Physics Letters, Section B 762 (2016) |
| ISSN: | 0370-2693 |
| Popis: | It was pointed out by Shifman and Yung that the critical superstring on $X^{10}={\mathbb R}^4\times Y^6$, where $Y^6$ is the resolved conifold, appears as an effective theory for a U(2) Yang-Mills-Higgs system with four fundamental Higgs scalars defined on $\Sigma_2\times{\mathbb R}^2$, where $\Sigma_2$ is a two-dimensional Lorentzian manifold. Their Yang-Mills model supports semilocal vortices on ${\mathbb R}^2\subset\Sigma_2\times{\mathbb R}^2$ with a moduli space $X^{10}$. When the moduli of slowly moving thin vortices depend on the coordinates of $\Sigma_2$, 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 $\Sigma_2\times T^2_p$, where $T^2_p$ 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 $T^2_p$, 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. Comment: 1+11 pages, v2: minor corrections |
| Databáze: | OpenAIRE |
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