T-duality transformation of gauged linear sigma model with F-term. (English) Zbl 1325.81143
Summary: 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.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 46S60 | Functional analysis on superspaces (supermanifolds) or graded spaces |
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