Non-anticommutative N=2 supersymmetric SU(2) gauge theory
Sergei V. Ketov, Shin Sasaki
TL;DR
This paper derives the component Lagrangian for a four-dimensional non-anticommutative N=2 supersymmetric SU(2) gauge theory, revealing that the deformed scalar potential is unbounded from below, unlike the undeformed case.
Contribution
It provides the explicit form of the Lagrangian for a non-anticommutative N=2 supersymmetric SU(2) gauge theory with a singlet deformation parameter.
Findings
Deformed scalar potential is unbounded from below.
Explicit component Lagrangian derived.
Contrast with undeformed case established.
Abstract
We calculate the component Lagrangian of a four-dimensional non-anticommutative (with a singlet deformation parameter) and fully N=2 supersymmetric gauge field theory with the simple gauge group SU(2). We find that the deformed (classical) scalar potential is unbounded from below, in contrast to the undeformed case.
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