# Supersymmetry O'Raifeartaigh model negative fermionic masses

by Eisenhorn
Tags: fermionic, masses, model, negative, oraifeartaigh, supersymmetry
 P: 4 Greetings, I calculated a basic O'Raifeartaigh model, using the following potential $$f = \lambda Y_1 (X^2 - M^2) + \mu Y_2 X$$, where $$Y_1$$, $$Y_2$$ and $$X$$ are chiral superfields. Assuming that the vacuum expectation value of $$y_1$$ is zero (where $$y_1$$ is the scalar component of $$Y_1$$), I get a fermionic mass matrix like $$\left(\begin{array}{ccc}0 & 0 & 0 \\0 & 0 & \mu \\0 & \mu &0\end{array}\right)$$. My problem is that the eigenvalues of this fermionic mass matrix are $$\mu$$ and $$-\mu$$, and I dont understand the later. Why do I get a negative mass and how can I interpet it? Eisenhorn.

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