As we shall see, the main evidence of Thomas-Yau picture (cf. section 2.2) does not really use the complex Monge-Ampère equation.¹¹¹¹ 11 The almost Calabi-Yau setting is desirable not only for the sake of generality, but may be essential to achieve suitable genericity. As an additional motivation on the side of physics, the SCFT condition translates into a Kähler condition on the target space metric, which satisfies the Ricci-flatness only approximately [38, section 14.2.4]. On the mirror side, as a consequence of the $\mu$-stability characterisation, the existence of Hermitian Yang Mills connections on a compact Kähler manifold does not depend on the choice of the Kähler form within a fixed Kähler class.