8 problems

Let $SU(3)_8$ denote the 5d $SU(3)$ gauge theory with Chern–Simons level $8$. An interacting UV fixed point is an interacting conformal fixed point governing the ultraviolet comple…

Consider 5d SCFTs arising from smooth Calabi–Yau threefolds, excluding frozen singularities dual to brane constructions involving $O7^+$ planes. Smooth Calabi–Yau classification co…

Let a top UV geometry be a geometry corresponding to a 5d CFT or to a 6d CFT compactified on a circle, and let a descendant be obtained from it by the finite geometric transitions…

Let $X$ be a smooth Calabi–Yau 3-fold modeled locally as a neighborhood of a connected union of compact Kähler surfaces $S=\bigcup_i S_i$. Let $J$ be a Kähler class. Shrinkability…

A 5d SCFT is a five-dimensional superconformal field theory, and a 6d SCFT is a six-dimensional superconformal field theory. Circle compactification means compactifying the 6d theo…

A 5d SCFT is a five-dimensional superconformal field theory, and a Calabi–Yau 3-fold is a Calabi–Yau three-dimensional variety used as an M-theory compactification space. M-theory…

Let $X$ be a non-compact Calabi–Yau 3-fold containing compact surfaces whose volumes can be simultaneously collapsed in the limit defining a 5d SCFT. The authors formulate necessar…

A shrinkable Calabi–Yau 3-fold is represented by a graph whose nodes are compact Kähler surfaces. The authors show that in rank $2$ the nodes are rational or ruled surfaces, possib…