On Moduli Spaces in $\bf{AdS_4}$ Supergravity

Autor: de Alwis, Senarath, Louis, Jan, McAllister, Liam, Triendl, Hagen, Westphal, Alexander
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP05(2014)102
Popis: We study the structure of the supersymmetric moduli spaces of ${\cal N}=1$ and ${\cal N}=2$ supergravity theories in $AdS_4$ backgrounds. In the ${\cal N}=1$ case, the moduli space cannot be a complex submanifold of the K\"ahler field space, but is instead real with respect to the inherited complex structure. In ${\cal N}=2$ supergravity the same result holds for the vector multiplet moduli space, while the hypermultiplet moduli space is a K\"ahler submanifold of the quaternionic-K\"ahler field space. These findings are in agreement with AdS/CFT considerations.
Comment: LaTeX, 1+24 pages, 1 figure
Databáze: arXiv