Fermionic reductions of the AdS4 x CP3 superstring

Details Fermionic reductions of the AdS4 x CP3 superstring Fermionic reductions of the AdS4 x CP3 superstring

2009-06-03

arxiv.org/abs/0906.0706v3

Phys.Rev. D 80 (2009) 046005

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, v3 as published

Scientific paper

10.1103/PhysRevD.80.046005

We discuss fermionic reductions of type IIA superstrings on AdS4 x CP3 in relation to the conjectured AdS4/CFT3 duality. The superstring theory is described by means of a coset model construction, which is classically integrable. We discuss the global light-cone symmetries of the action and related kappa-symmetry gauge choices, and also present the complete quartic action in covariant form with respect to these. Further, we study integrable (fermionic) reductions, in particular, a reduction yielding a quadratic action of two complex fermions on the string world-sheet. Interestingly, this model appears to be exactly the same as the corresponding integrable reduction found in the AdS5 x S5 case.

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