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Dimensional reduction of the ABJM model

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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, \( \tilde{v} \), and large k yields D1-brane actions in 9d and 10d, depending on which auxiliary fields are integrated out. For N = 1thereisamaptoa Green-Schwarz string wrapping a nontrivial circle in \( {{{{\mathbb{C}^4}}} \left/ {{{\mathbb{Z}_k}}} \right.} \).

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Correspondence to Constantinos Papageorgakis.

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ArXiv ePrint: 1010.3808

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Nastase, H., Papageorgakis, C. Dimensional reduction of the ABJM model. J. High Energ. Phys. 2011, 94 (2011). https://doi.org/10.1007/JHEP03(2011)094

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  • DOI: https://doi.org/10.1007/JHEP03(2011)094

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