3 problems

Consider pure 4-dimensional $\mathcal N=1$ supergravity on $\mathbb R^4$. Let $\mathbb C^2$ carry its standard holomorphic symplectic structure, and write…

Consider 5-dimensional $\mathcal N=1$ supergravity on $\mathbb R^5$. Let $\mathbb C^2$ carry its canonical holomorphic symplectic structure, and let Poisson BF theory be defined on…

Let $X$ be a Calabi–Yau $5$-fold, with type IIB supergravity placed in the Calabi–Yau background and its bosonic ghost field set to the covariantly constant Killing spinor $(Q,0)$.…