Feynman rules in N=2 projective Superspace II: Massive hypermultiplets

TL;DR

This paper develops Feynman rules for massive hypermultiplets in N=2 superspace, providing a consistent framework for propagators and dualities, advancing the understanding of supersymmetric quantum field theories.

Contribution

It introduces a method to incorporate mass terms in N=2 superspace and derives massive propagators using duality transformations, extending previous off-shell formalisms.

Findings

Massive propagators for N=1 complex linear superfields derived.

Duality transformation relates off-shell and on-shell descriptions.

Proposed ansatz for N=2 massive propagator confirmed by calculations.

Abstract

Manifest N=2 supersymmetric hypermultiplet mass terms can be introduced in the projective N=2 superspace formalism. In the case of complex hypermultiplets, where the gauge covariantized spinor derivatives have an explicit representation in terms of gauge prepotentials, it is possible to interpret such masses as vacuum expectation values of an Abelian vector multiplet. The duality transformation that relates the N=2 off-shell projective description of the hypermultiplet to the on-shell description involving two N=1 chiral superfields allows us to obtain the massive propagators of the N=1 complex linear fields in the projective hypermultiplet. The N=1 massive propagators of the component superfields in the projective hypermultiplet suggest a possible ansatz for the N=2 massive propagator, which agrees with an explicit calculation in N=2 superspace.