M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing

Details M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing M2-branes Theories without 3+1 Dimensional Parents via Un-Higgsing

2009-10-02

arxiv.org/abs/0910.0370v1

Physics

High Energy Physics

High Energy Physics - Theory

60 pages, 52 figures

Scientific paper

N=2 quiver Chern-Simons theory has lately attracted attention as the world volume theory of multiple M2 branes on a Calabi-Yau 4-fold. We study the connection between the stringy derivation of M2 brane theories and the forward algorithm which gives the toric Calabi-Yau 4-fold as the moduli space of the quiver theory. Then the existence of the 3+1 dimensional parent, which is the consistent 3+1 dimensional superconformal theory with the same quiver diagram, is crucial for stringy derivation of M2 brane theories. We also investigate the construction of M2 brane theories that do not have 3+1 dimensional parents. The un-Higgsing procedure plays a key role to construct these M2 brane theories. We find some N=2 quiver Chern-Simons theories which correspond to interesting Calabi-Yau singularities.

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