Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories

Abstract

The energy-momentum tensor of Matrix Theory is derived by computing disk amplitudes with one closed string and an arbitrary number of open strings and by taking the DKPS limit. We clarify its relation to the energy-momentum tensor of the noncommutative gauge theory derived in our previous paper.

arXiv comment16 pages, AMS-LaTeX; typos corrected, a reference added

References in corpus (38)

• M Theory As A Matrix Model: A Conjecture
• Dielectric-Branes
• A Large-N Reduced Model as Superstring
• D-branes, Quivers, and ALE Instantons
• On non-abelian generalisation of Born-Infeld action in string theory
• Noncommutative Open String and D-brane
• D-branes and Deformation Quantization
• Why is the Matrix Model Correct?
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Noncommutative Geometry From Strings and Branes
• Another Conjecture about M(atrix) Theory
• Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
• Noncommutative Geometry from D0-branes in a Background B-field
• Finite N Matrix Models of Noncommutative Gauge Theory
• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• Nonperturbative Dynamics of Noncommutative Gauge Theory
• Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory
• Linearized supergravity from Matrix theory
• Gauge Theory on a Quantum Phase Space
• D-branes and Matrix Theory in Curved Space
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
• Generalized *-Products, Wilson Lines and the Solution of the Seiberg-Witten Equations
• How Noncommutative Gauge Theories Couple to Gravity
• *-TREK: The One-Loop N=4 Noncommutative SYM Action
• Why Matrix Theory is Hard
• Non-Commutative Geometry on a Discrete Periodic Lattice and Gauge Theory
• p-branes from (p-2)-branes in the Bosonic String Theory
• A Note On Space Noncommutativity
• Observables of Non-Commutative Gauge Theories
• The energy-momentum tensor on noncommutative spaces - some pedagogical comments
• The one-loop effective action of noncommutative {\cal N}=4 super Yang-Mills is gauge invariant
• Wilson loops in strongly coupled noncommutative gauge theories
• D-brane Physics and Noncommutative Yang-Mills Theory
• Closed Strings Interacting with Noncommutative D-branes
• Conservation of Supergravity Currents from Matrix Theory
• World Volume Noncommutativity versus Target Space Noncommutativity
• Factorization and generalized *-products
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models

Cited by in corpus (21)

• Noncommutative Field Theory
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
• Target space symmetries in topological theories I
• Strings between branes
• Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
• The shape of nonabelian D-branes
• Open Dielectric Branes
• S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry
• Vertex Operators in IIB Matrix Model
• Evidence for a gravitational Myers effect
• On the energy-momentum tensor in Moyal space
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• Nonperturbative definition of closed string theory via open string field theory
• Renormalization of the energy-momentum tensor in noncommutative complex scalar field theory
• Non-abelian action of D0-branes from Matrix theory in the longitudinal 5-brane background
• Energy-momentum non-conservation on noncommutative spacetime and the existence of infinite spacetime dimension
• Holomorphically Covariant Matrix Models
• Vertex operators of Type IIB matrix model via calculation of disk amplitudes
• Boundary state of multiple D0-branes and closed string coupling