Speaker
Prof.
Yunbai Kim
(Sungkyunkwan U.)
Description
We construct the gauge invariant interaction terms between the world-volume fields of multiple M2-branes and the 3- and 6-form fields in the context of ABJM theory. with U(N)×U(N) gauge and show that the obtained dimensionally reduced couplings coincide with the effective action of D2-branes coupled to R-R 3- and 5-form fields in type IIA string theory. As an application of our formulation, we turn on constant flux terms and consider their supersymmetric completions with N=2,4,6 supersymmetries. Employing the Mukhi-Papageorgakis Higgsing procedure, we find the connection between the N=2,4 theories with flat directions in their potential and the N=2, 4 mass-deformed (2+1)-dimensional super Yang-Mills theories. We also comment on the relation between our mass-deformed ABJM theories and the N=1* and N=2* mass-deformed super Yang-Mills theories constructed by Polchinski and Strassler in the context of type IIB theory.
