Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-08-22
JHEP 0912:049,2009
Physics
High Energy Physics
High Energy Physics - Theory
50 pages, Latex; v2: references added
Scientific paper
10.1088/1126-6708/2009/12/049
Our recent construction arXiv:0903.3966 for the fuzzy 2-sphere in terms of bifundamentals, discovered in the context of the ABJM model, is shown to be explicitly equivalent to the usual (adjoint) fuzzy sphere construction. The matrices $\tilde G^\alpha$ that define it play the role of fuzzy Killing spinors on the 2-sphere, out of which all spherical harmonics are constructed. Starting from the quadratic fluctuation action around these solutions in the mass-deformed ABJM theory, we recover a supersymmetric D4-brane action wrapping a 2-sphere, including fermions. We obtain both the usual D4 action with an unusual x-dependence on the sphere, as well as a twisted version in terms of the usual x-dependence, and contrast our result with the Maldacena-Nunez case of a D5 wrapping an S^2. The twisted and unwisted fields are related by the same matrix $\tilde G^\alpha$.
Nastase Horatiu
Papageorgakis Constantinos
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