Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds

Abstract

We study a supergauge transformation of a complex superfield which generates a chiral superfield in two-dimensional $\mathcal{N}=(2,2)$ theory. This complex superfield is referred to as the prepotential of the chiral superfield. Since there exist redundant component fields in the prepotential, we remove some of them by a gauge-fixing condition. This situation is parallel to that of a vector superfield. In order to obtain a suitable configuration of the GLSM for the exotic five-brane which gives rise to a nongeometric background, we impose a relatively relaxed gauge-fixing condition. It turns out that the gauge-fixed prepotential is different from a semichiral superfield whose scalar field represents a coordinate of generalized Kähler geometry.

25 pages, published version

References in corpus (4)

• Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• On gauged linear sigma models with torsion

Cited by in corpus (5)

• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Semi-doubled Sigma Models for Five-branes
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• Non-geometric Five-branes in Heterotic Supergravity
• Exotic Brane Junctions from F-theory