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

Abstract

We propose a deformation of $\mathcal{N}=4$ 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.

14 pages, minor changes, refs. added

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Cited by in corpus (10)

• Non-anticommutativity in Presence of a Boundary
• Non(anti)commutative SYM theory: Renormalization in superspace
• Non(anti)commutative N=2 Supersymmetric Gauge Theory from Superstrings in the Graviphoton Background
• Chern-Simons Theory in SIM(1) Superspace
• Deformation of N=4 Super Yang-Mills Theory in Graviphoton Background
• Deformation of Super Yang-Mills Theories in R-R 3-form Background
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability