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

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 Author Abbaspur, Reza ♦ Imaanpur, Ali Source arXiv.org Content type Text File Format PDF Date of Submission 2005-09-29 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th 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. Description Reference: JHEP0601:017,2006 Educational Use Research Learning Resource Type Article Page Count 14