Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories

Details Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories

1995-08-22

arxiv.org/abs/hep-th/9508107v1

Nucl.Phys.Proc.Suppl.46:177-186,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex, no figures

Scientific paper

10.1016/0920-5632(96)00020-5

Superconformal sigma models with Calabi--Yau target spaces described as complete intersection subvarieties in toric varieties can be obtained as the low-energy limit of certain abelian gauge theories in two dimensions. We formulate mirror symmetry for this class of Calabi--Yau spaces as a duality in the abelian gauge theory, giving the explicit mapping relating the two Lagrangians. The duality relates inequivalent theories which lead to isomorphic theories in the low-energy limit. This formulation suggests that mirror symmetry could be derived using abelian duality. The application of duality in this context is complicated by the presence of nontrivial dynamics and the absence of a global symmetry. We propose a way to overcome these obstacles, leading to a more symmetric Lagrangian. The argument, however, fails to produce a derivation of the conjecture.

Affiliated with

Also associated with

No associations

Rating

Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-75654