The Gauged (2,1) Heterotic Sigma-Model
M. Abou Zeid, C. M. Hull
TL;DR
This paper explores the geometric conditions and construction of gauged (2,1) supersymmetric sigma-models with isometry symmetries, focusing on coupling to Yang-Mills supermultiplets in superspace.
Contribution
It provides a detailed geometric analysis and constructs the general gauged action for (2,1) supersymmetric sigma-models with isometries, including the coupling to Yang-Mills supermultiplets.
Findings
Coupling to (2,1) Yang-Mills supermultiplet requires specific geometric conditions.
Constructed the full non-polynomial gauged action using an auxiliary vector.
Identified conditions under which gauging preserves supersymmetry.
Abstract
The geometry of (2,1) supersymmetric sigma-models with isometry symmetries is discussed. The gauging of such symmetries in superspace is then studied. We find that the coupling to the (2,1) Yang-Mills supermultiplet can be achieved provided certain geometric conditions are satisfied. We construct the general gauged action, using an auxiliary vector to generate the full non-polynomial structure.
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