Examples of Emergent Type IIB Backgrounds from Matrices

Abstract

We study models of emergent space associated with the Coulomb branch, non-commutative and beta deformations of the N=4 super Yang-Mills theory, extending a previous work on the undeformed conformal case. The idea is to compute the effective action for D-instantons from the microscopic four-dimensional open-string description and to compare with the non-abelian D-instanton action in the dual ten-dimensional supergravity background. To linear order in the deformation parameter, the D-instantons can probe the full space-time geometry and we can derive all the supergravity fields in this way. We find a perfect match with the known supergravity solutions, including for the Neveu-Schwarz and Ramond-Ramond forms.

37 pages, 1 figure. v2: added references, typos corrected

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Cited by in corpus (18)

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• D-Brane Probes in the Matrix Model
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Emergent Space and the Example of AdS_5XS^5
• On Matrix Geometry and Effective Actions
• Emergent D4-Brane Background from D-Particles
• Gravity and On-Shell Probe Actions
• Emergent D5-brane Background from D-strings
• Partial Gauge Fixing and Equivariant Cohomology
• A giant graviton genealogy
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Form factors and the dilatation operator in $\mathcal{N}=4$ super Yang-Mills theory and its deformations
• D-instanton probe and the enhançon mechanism from a quiver gauge theory
• Emergent Spacetime and Cosmic Inflation
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Non-perturbative aspects of gauge/gravity duality
• Holographic backgrounds from D-brane probes