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Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States

Reza Abbaspur·Ali Imaanpur
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Abstract

We propose a deformation of ${\cal N}=4$ SYM theoery induced by nonanticommutative star product. The deformation introduces new bosonic terms which we identify with the corresponding Myers terms of a stack of D3-branes in the presence of a five-form RR flux. We take this as an indication that the deformed lagrangian describes D3-branes in such a background. The vacuum states of the theory are also examined. In a specific case where the U(1) part of the gauge field is nonvanishing the (anti)holomorphic transverse coordinates of the brane sit on a fuzzy two sphere. For a supersymmetric vacuum the antiholomorphic coordinates must necessarily commute. However, we also encounter non-supersymmetric vacua for which the antiholomorphic coordinates do not commute.

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Reza Abbaspur, Ali Imaanpur. 2006-01-21. Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F017

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