Authors

Citation

M. Aganagic et al., Mirror symmetry in 2+1 and 1+1 dimensions, J HIGH EN P, 2001(7), 2001, pp. NIL_487-NIL_516

Citations number

31

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Physics

Journal title

JOURNAL OF HIGH ENERGY PHYSICS

ISSN journal

1029-8479
→ ACNP

Volume

2001

Issue

7

Year of publication

2001

Pages

NIL_487 - NIL_516

Database

ISI

SICI code

1029-8479(200107)2001:7<NIL_487:MSI2A1>2.0.ZU;2-V

Abstract

We study the Coulomb-Higgs duality of N = 2 supersymmetric abelian Chern-Si
mons theories in 2 + 1 dimensions, by compactifying dual pairs on a circle
of radius R and comparing the resulting N = (2;2) theories in 1 + 1 dimensi
ons. Below the compactification scale, the theory on the Higgs branch reduc
es to the non-linear sigma model on a toric manifold. In the dual theory on
the Coulomb branch, the Kaluza-Klein modes generate an infinite tower of c
ontributions to the superpotential. After resummation, in the limit R --> 0
the superpotential becomes that of the Landau-Ginzburg model which is the
two-dimensional mirror of the toric sigma model. We further examine the con
jecture of all-scale three-dimensional mirror symmetry and observe that it
is consistent with mirror symmetry in 1 + 1 dimensions.