Dimensional reduction of the ABJM model
arXiv:1010.3808 · doi:10.1007/JHEP03(2011)094
Abstract
We dimensionally reduce the ABJM model, obtaining a two-dimensional theory that can be thought of as a 'master action'. This encodes information about both T- and S-duality, i.e. describes fundamental (F1) and D-strings (D1) in 9 and 10 dimensions. The Higgsed theory at large VEV and large k yields D1-brane actions in 9d and 10d, depending on which auxiliary fields are integrated out. For N=1 there is a map to a Green-Schwarz string wrapping a nontrivial circle in C^4/Z_k.
23 pages, Latex; v2: added some clarifying comments on the action of T-duality in Section 2.1.3
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- M-Theory and Maximally Supersymmetric Gauge Theories
- Periodic Arrays of M2-Branes
- BRST symmetry and Darboux transformations in Abelian 2-form gauge theory
- Non-topological Vortex Configurations in the ABJM Model
- Heterotic M2-branes
- A mass-deformed BLG theory in Gribov-Zwanziger framework