Horatiu Nastase and Constantinos Papageorgakis JHEP12(2009)049 doi:10.1088/1126-6708/2009/12/049
Fuzzy Killing spinors and supersymmetric D4 action on the fuzzy 2-sphere from the ABJM model
Horatiu Nastasea and Constantinos Papageorgakisb
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α 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-Núñez case of a D5 wrapping an S2. The twisted and unwisted fields are related by the same matrix α.
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E-print Number: 0908.3263
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Issue 12 (December 2009)
Received 4 September 2009, accepted for publication 25 November 2009
Published 15 December 2009
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Fuzzy Killing spinors and supersymmetric D4 action on the fuzzy 2-sphere from the ABJM model
Horatiu Nastase and Constantinos Papageorgakis JHEP12(2009)049
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