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×T_p ², where T_p 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 T_p 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)