Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-24
JHEP 1101:121,2011
Physics
High Energy Physics
High Energy Physics - Theory
1+39 pages; v2: misprints corrected, references added
Scientific paper
10.1007/JHEP01(2011)121
We develop the background field method in the N=2, d=3 superspace for studying effective actions in three-dimensional SYM models which live in the world-volume of various 2-branes. In particular, the low-energy effective action for the N=2 quiver gauge theory with four chiral superfields in the bifundamental representation is studied. This gauge theory describes the D2 brane probing the conifold singularity. Surprisingly, the leading terms in this effective action reproduce the classical action of the Abelian ABJM theory confirming the fact that the M2 brane can be considered as the effective theory for the D2 brane at strong coupling. Apart from this N=2 quiver gauge theory we study the low-energy effective action in pure N=2, N=4 and N=8 SYM theories with gauge group SU(N) spontaneously broken down to an Abelian subgroup. In particular, for the N=4 SYM we find similar correspondence between the leading terms in its effective action and the classical action of the Abelian Gaiotto-Witten theory.
Buchbinder Ioseph L.
Pletnev N. G.
Samsonov Igor B.
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