Dimensional reduction of the ABJM model

Details Dimensional reduction of the ABJM model Dimensional reduction of the ABJM model

2010-10-19

arxiv.org/abs/1010.3808v2

JHEP 1103:094,2011

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex; v2: added some clarifying comments on the action of T-duality in Section 2.1.3

Scientific paper

10.1007/JHEP03(2011)094

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.

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