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- W2334001356 abstract "We construct the exact solution of one (anti-)instanton in $mathcal{N}=frac{1}{2}$ super Yang-Mills theory defined on non(anti-)commutative superspace. We first identify $mathcal{N}=frac{1}{2}$ superconformal invariance as maximal spacetime symmetry. For the gauge group U(2), the SU(2) part of the solution is given by the standard (anti-)instanton, but the U(1) field strength also turns out to be nonzero. The solution is SO(4) rotationally symmetric. For the gauge group $mathrm{U}(N),$ in contrast with the U(2) case, we show that the entire $mathrm{U}(N)$ part of the solution is deformed by non(anti-)commutativity and fermion zero modes. The solution is no longer rotationally symmetric; it is polarized into an axially symmetric configuration because of the underlying non(anti-)commutativity. We compute the ``information metric'' of one (anti-)instanton. We find that the moduli space geometry is deformed from the hyperbolic space ${H}_{5}$ (Euclidean anti--de Sitter space) in a way anticipated from reduced spacetime symmetry. Remarkably, the volume measure of the moduli space turns out to be independent of the non(anti-)commutativity. Implications for D branes in the Ramond-Ramond flux background and the gauge-gravity correspondence are discussed." @default.
- W2334001356 created "2016-06-24" @default.
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- W2334001356 date "2004-06-28" @default.
- W2334001356 modified "2023-09-25" @default.
- W2334001356 title "U(N)instantons onN=12superspace: Exact solution and geometry of moduli space" @default.
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- W2334001356 doi "https://doi.org/10.1103/physrevd.69.126004" @default.
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