Two-Dimensional Sigma Models Related to Non-Abelian Strings in Super-Yang-Mills

Abstract

We review diverse two-dimensional models emerging on the world sheet of non-Abelian strings in the low-energy limit. Non-Abelian strings are supported in a class of four-dimensional bulk theories with or without supersymmetry. In supersymmetric bulk theories we are mostly interested in BPS-saturated strings. Some of these two-dimensional models, in particular, heterotic models, were scarcely studied in the past, if at all. Our main emphasis is on the heterotic N=(0,2) models. We describe their large-N solution. We briefly comment on N=(0,1) models although so far they are not obtained on the the world sheet of non-Abelian strings.

Dedicated to the 100-th birthday of Isaak Yakovlevich Pomeranchuk. Invited paper, to be published in the Pomeranchuk Memorial Volume (2014). 59 pp., 10 figures; v2: 1 figure and 1 reference added, 1 expression corrected

Cited by in corpus (2)

• Supersymmetric Tools in Yang-Mills Theories at Strong Coupling: the Beginning of a Long Journey
• On Isometry Anomalies in Minimal N=(0,1) and N=(0,2) Sigma Models