Publications at the Riemann Center

Superstring limit of Yang–Mills theories

authored by
Olaf Lechtenfeld, Alexander D. Popov
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.

Organisation(s)
Institut für Theoretische Physik
Riemann Center for Geometry and Physics
Type
Artikel
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume
762
Pages
309-314
No. of pages
6
ISSN
0370-2693
Publication date
10.11.2016
Publication status
Veröffentlicht
Peer reviewed
Yes
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Electronic version(s)
https://doi.org/10.1016/j.physletb.2016.09.032 (Access: Offen)
https://doi.org/10.1016/j.physletb.2016.09.032 (Access: Unbekannt)