D-branes and Matrix Theory in Curved Space

Abstract

We discuss the relation between supersymmetric gauge theory of branes and supergravity; as it was discovered in D-brane physics, and as it appears in Matrix theory, with emphasis on motion in curved backgrounds. We argue that gauged sigma model Lagrangians can be used as definitions of Matrix theory in curved space. Lecture given at Strings '97; June 20, 1997.

LaTeX with espcrc2; 13 pages, STRINGS97. References added; a speculation refuted

References in corpus (4)

• Branes from Matrices
• Branes, Fluxes and Duality in M(atrix)-Theory
• Zero and One-dimensional Probes with N=8 Supersymmetry
• Issues in M(atrix) Theory Compactification

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• Non-Higgsable clusters for 4D F-theory models
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• Nonabelian Phenomena on D-branes
• Background Independent Quantum Mechanics and Gravity
• The effective action of D-branes in Calabi-Yau orientifold compactifications
• Matrix Strings in Weakly Curved Background Fields
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• Non-abelian Born-Infeld and kappa-symmetry
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background
• General covariance of the non-abelian DBI-action
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Dielectric Fundamental Strings in Matrix String Theory
• Selection Rules and RR Couplings on Non-BPS Branes
• All order ${\alpha }^{\prime }$ higher derivative corrections to non-BPS branes of type IIB Super string theory
• Abelian and Non-abelian D-brane Effective Actions
• Matrix Theory on ALE Spaces and Wrapped Membranes
• Aspects of ALE Matrix Models and Twisted Matrix Strings
• Generally Covariant Actions for Multiple D-branes
• On Matrix Geometry and Effective Actions
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• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds
• Evidence for a gravitational Myers effect
• General covariance of the non-abelian DBI-action: Checks and Balances
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• D-particles on T^4/Z_n orbifolds and their resolutions
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• Blending Local Symmetries With Matrix Nonlocality in D-brane Effective Actions
• D-instantons probing D3-branes and the AdS/CFT correspondence
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• Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
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• Oscillating Multiple Giants
• Matrix String Theory on pp-waves
• Type IIB Matrix Theory at Two Loops
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications
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• Non-abelian action of D0-branes from Matrix theory in the longitudinal 5-brane background
• Supersymmetric D0-Branes in Curved Backgrounds
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• Holomorphically Covariant Matrix Models
• Branes and Geometry in String and M-Theory