Steven Abel, Daniel Busbridge
We investigate the mapping of Dirac gaugino masses through regions of strong coupling, focussing on SQCD with an adjoint. These models have a well-known Kutasov duality, under which a weakly coupled electric UV description can flow to a different weakly coupled magnetic IR description. We provide evidence to show that Dirac gaugino mass terms map as $\lim_{\mu\rightarrow\infty}\frac{m_{D}}{g \kappa^{\frac{1}{k+1}}} = \lim_{\mu\rightarrow 0} \frac{\tilde m_{{D}}}{\tilde{g} \tilde{\kappa}^{\frac{1}{k+1}}}$ under such a flow, where the coupling $\kappa$ appears in the superpotential of the canonically normalised theory as $W\supset \kappa X^{k+1}$. This combination is an RG-invariant to all orders in perturbation theory, but establishing the mapping in its entirety is not straightforward because Dirac masses are not the spurions of holomorphic couplings in the $\NN=1$ theory. To circumvent this, we first demonstrate that deforming the Kutasov theory can make it flow to an $\NN=2$ theory with parametrically small $\NN=1$ deformations. Using harmonic superspace techniques we then show that the $\NN=1$ deformations can be recovered from electric and magnetic FI-terms that break $\NN=2\rightarrow \NN=1$, and also show that pure Dirac mass terms can be induced by the same mechanism. We then find that the proposed RG-invariant is indeed preserved under $\NN=2$ duality, and thence along the flow to the dual $\NN=1$ Kutasov theories. Possible phenomenological applications are discussed.
View original:
http://arxiv.org/abs/1306.6323
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