Cyril Closset, Stefano Cremonesi
In favourable cases the low energy dynamics of a stack of M2-branes at a
toric Calabi-Yau fourfold singularity can be described by an N=2 supersymmetric
Chern-Simons quiver theory, but there still does not exists an "inverse
algorithm" going from the toric data of the CY_4 to the CS quiver. We make
progress in that direction by deriving CS quiver theories for M2-branes probing
cones over a large class of geometries Ypq(B_4), which are S^3/Z_p bundles over
toric Fano varieties B_4. We rely on the type IIA understanding of CS quivers,
giving a firm string theory footing to our CS theories. In particular we give a
derivation of some previously conjectured CS quivers in the case B_4=
CP^1*CP^1, as field theories dual to M-theory backgrounds with nontrivial
torsion G_4 fluxes.
View original:
http://arxiv.org/abs/1201.2431
No comments:
Post a Comment