Two Two-Dimensional Supergravity Theories from Calabi-Yau Four-Folds
S. James Gates, Jr., Sergei Gukov, Edward Witten

TL;DR
This paper develops new two-dimensional supergravity models derived from Type II string theory compactified on Calabi-Yau four-folds, introducing novel superspace formulations and matter couplings.
Contribution
It presents new superspace formulations of N=(2,2) and N=(0,4) dilaton supergravities from Calabi-Yau four-fold compactifications.
Findings
New superspace formulations for N=(2,2) and N=(0,4) supergravities
Coupling of these supergravities to matter multiplets
Framework for analyzing string compactifications on Calabi-Yau four-folds
Abstract
We consider two-dimensional supergravity theories with four supercharges constructed from compactification of Type II string theory on a generic Calabi-Yau four-fold. In Type IIA and Type IIB cases, respectively, new superspace formulations of N=(2,2) and N=(0,4) dilaton supergravities are found and their coupling to matter multiplets is discussed.
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