Abstract
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 calculated and studied. This gauge theory describes a D2 brane probing the conifold singularity. Surprisingly, the scale-invariant part of this effective action coincides with the classical action of the Abelian ABJM theory. 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 its one-loop effective action and the classical action of the Abelian Gaiotto-Witten theory.
| Original language | English |
|---|---|
| Article number | 121 |
| Journal | Journal of High Energy Physics |
| Volume | 2011 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 |
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Keywords
- Brane dynamics in gauge theories
- Extended supersymmetry
- Superspaces
- Supersymmetric gauge theory
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Low-energy effective actions in three-dimensional extended SYM theories. / Buchbinder, I. L.; Pletnev, N. G.; Samsonov, I. B.
In: Journal of High Energy Physics, Vol. 2011, No. 1, 121, 2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Low-energy effective actions in three-dimensional extended SYM theories
AU - Buchbinder, I. L.
AU - Pletnev, N. G.
AU - Samsonov, I. B.
PY - 2011
Y1 - 2011
N2 - 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 calculated and studied. This gauge theory describes a D2 brane probing the conifold singularity. Surprisingly, the scale-invariant part of this effective action coincides with the classical action of the Abelian ABJM theory. 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 its one-loop effective action and the classical action of the Abelian Gaiotto-Witten theory.
AB - 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 calculated and studied. This gauge theory describes a D2 brane probing the conifold singularity. Surprisingly, the scale-invariant part of this effective action coincides with the classical action of the Abelian ABJM theory. 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 its one-loop effective action and the classical action of the Abelian Gaiotto-Witten theory.
KW - Brane dynamics in gauge theories
KW - Extended supersymmetry
KW - Superspaces
KW - Supersymmetric gauge theory
UR - http://www.scopus.com/inward/record.url?scp=80053117118&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80053117118&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2011)121
DO - 10.1007/JHEP01(2011)121
M3 - Article
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 1
M1 - 121
ER -