T-duality Transformation of Gauged Linear Sigma Model with F-term

Abstract

We develop the duality transformation rules in two-dimensional theories in the superfield formalism. Even if the chiral superfield which we dualize involves an F-term, we can dualize it by virtue of the property of chiral superfields. We apply the duality transformation rule of the neutral chiral superfield to the $\mathcal{N}=(4,4)$ gauged linear sigma model for five-branes. We also investigate the duality transformation rule of the charged chiral superfield in the $\mathcal{N}=(4,4)$ gauged linear sigma model for the $A_1$-type ALE space. In both cases we obtain the dual Lagrangians in the superfield formalism. In the low energy limit we find that their duality transformations are interpreted as T-duality transformations consistent with the Buscher rule.

34 pages, version published in Nuclear Physics B

References in corpus (6)

• Double Field Theory
• T-duality and closed string non-commutative (doubled) geometry
• Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
• The KK-Monopole/NS5-Brane in Doubled Geometry
• Rotating string in doubled geometry with generalized isometries
• D-branes and doubled geometry

Cited by in corpus (5)

• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• Defect (p,q) Five-branes
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• Duality Covariant Solutions in Extended Field Theories