U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space

Abstract

We construct the exact solution of one (anti)instanton in N=1/2 super Yang-Mills theory defined on non(anti)commutative superspace. We first identify N = 1/2 superconformal invariance as maximal spacetime symmetry. For gauge group U(2), SU(2) part of the solution is given by the standard (anti)instanton, but U(1) field strength also turns out nonzero. The solution is SO(4) rotationally symmetric. For gauge group U(N), in contrast to the U(2) case, we show that the entire 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 moduli space geometry is deformed from hyperbolic space (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 to D-branes in Ramond- Ramond flux background and Maldacena's gauge-gravity correspondence are discussed.

39 pages, 3 figures, JHEP style; v2. typos corrected + a paragraph added

References in corpus (24)

• A Perturbative Window into Non-Perturbative Physics
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Comments on Noncommutative Superspace
• Supersymmetric Gauge Theories on Noncommutative Superspace
• N=1/2 Wess-Zumino model is renormalizable
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Nilpotent deformations of N=2 superspace
• Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• On Instantons and Zero Modes of N=1/2 SYM Theory
• Comments on Gluino Condensates in N=1/2 SYM Theory
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• Gravity Induced C-Deformation
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• Note on a fermionic solution of the matrix model and noncommutative superspace
• Scalar Solitons in Non(anti)commutative Superspace
• Exact Answers to Approximate Questions: Noncommutative Dipoles, Open Wilson Lines, and UV-IR Duality

Cited by in corpus (32)

• Vertex Operators for Closed Superstrings
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Information geometry in quantum field theory: lessons from simple examples
• On nonanticommutative N=2 sigma-models in two dimensions
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Instanton Calculations for N=1/ 2 super Yang-Mills Theory
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Non(anti)commutative superspace with coordinate-dependent deformation
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Non-linear Laplace equation, de Sitter vacua and information geometry
• BPS Analysis of Gauge Field-Higgs Models in Non-Anticommutative Superspace
• The Information Metric on the moduli space of instantons with global symmetries
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• On A Superfield Extension of The ADHM Construction and N=1 Super Instantons
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory