Topologically nontrivial field configurations in noncommutative geometry

C. Klimcik; H. Grosse; P. Presnajder

Topologically nontrivial field configurations in noncommutative geometry

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arxiv hep-th/9510083 v2 pith:6SGZLL7O submitted 1995-10-12 hep-th

H. Grosse , C. Klimcik , P. Presnajder This is my paper · ORCID

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keywords fieldfieldsgeometrynoncommutativenumberspaceactionsbasic

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In the framework of noncommutative geometry we describe spinor fields with nonvanishing winding number on a truncated (fuzzy) sphere. The corresponding field theory actions conserve all basic symmetries of the standard commutative version (space isometries and global chiral symmetry), but due to the noncommutativity of the space the fields are regularized and they contain only finite number of modes.

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The spectrum of defect ABJM theory
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The quantum fluctuation spectrum of the 1/2-BPS ABJM domain wall is diagonalized and shown to organize into supersymmetric multiplets with conformal dimensions differing by 1/2.

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