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.

arXiv comment37 pages, 1 figure. v2: added references, typos corrected

References in corpus (52)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Dielectric-Branes
• On non-abelian generalisation of Born-Infeld action in string theory
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
• Large N Limit of Non-Commutative Gauge Theories
• Lax Pair for Strings in Lunin-Maldacena Background
• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• The Calculus of Many Instantons
• Classical p-branes from boundary state
• Emergent Geometry and Gravity from Matrix Models: an Introduction
• Large N and double scaling limits in two dimensions
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• Classical gauge instantons from open strings
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• Large N BPS states and emergent quantum gravity
• Vacua of M-theory and string theory
• All loop BMN state energies from matrices
• BPS Branes in Supergravity
• Scattering of closed strings from many D-branes
• D-instanton induced interactions on a D3-brane
• The non-abelian Born-Infeld action at order F^6
• Non-perturbative gauge/gravity correspondence in N=2 theories
• Proof of all-order finiteness for planar beta-deformed Yang-Mills
• Multi-Instantons and Maldacena's Conjecture
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• Emergent Space and the Example of AdS_5XS^5
• Non-supersymmetric cousins of supersymmetric gauge theories: quantum space of parameters and double scaling limits
• On the 1-loop effective action for the IKKT model and non-commutative branes
• A model for gauge theories with Higgs fields
• On Matrix Geometry and Effective Actions
• Strings on conifolds from strong coupling dynamics, part I
• ADHM and D-instantons in orbifold AdS/CFT duality
• Instantons and Emergent AdS_3 x S^3 Geometry
• Strings on conifolds from strong coupling dynamics: quantitative results
• Emergent D4-Brane Background from D-Particles
• Emergent D5-brane Background from D-strings
• Vector models in the large $N$ limit: a few applications
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• Holographic non-perturbative corrections to gauge couplings
• D-instantons probing D3-branes and the AdS/CFT correspondence
• Instantons, finite N=2 Sp(N) theories and the AdS/CFT correspondence
• Instantons in N=4 Sp(N) and SO(N) theories and the AdS/CFT correspondence
• Multi instanton tests of holography
• Lessons in quantum gravity from quantum field theory

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• Non-conformality of gamma_i-deformed N=4 SYM theory
• Gauge Theories, D-Branes and Holography
• 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