Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
arXiv:hep-th/9812239 · doi:10.1088/1126-6708/1999/04/013
Abstract
The leading terms in the long-range interaction potential between an arbitrary pair of matrix theory objects are calculated at one-loop order. This result generalizes previous calculations by including arbitrary fermionic background field configurations. The interaction potential at orders 1/r^7 and 1/r^8 is shown to correspond precisely with the leading terms expected from linearized supergravity interactions between arbitrary objects in M-theory. General expressions for the stress tensor, membrane current and 5-brane current of an arbitrary matrix configuration are derived, including fermionic contributions. Supergravity effects which are correctly reproduced include membrane/5-brane interactions, 0-brane/6-brane interactions, supercurrent/supercurrent interactions and the spin contributions to moments of the supergravity currents. The matrix theory description of the supergravity stress tensor, membrane current and 5-brane current are used to propose an explicit formulation of matrix theory in an arbitrary background metric and 3-form field.
71 pages, LaTeX; v2: added references, fixed minor typos v3: minor errors fixed, comments added
References in corpus (19)
- Why is the Matrix Model Correct?
- Higher Order Graviton Scattering in M(atrix) Theory
- Matrix Theory
- Constraints From Extended Supersymmetry in Quantum Mechanics
- Superspace Geometry for Supermembrane Backgrounds
- Linearized supergravity from Matrix theory
- D-branes and Matrix Theory in Curved Space
- Compactification in the Lightlike Limit
- Long-distance interactions of branes: correspondence between supergravity and super Yang-Mills descriptions
- Why Matrix Theory is Hard
- Review of Matrix Theory
- Constraints on Higher Derivative Operators in Maximally Supersymmetric Gauge Theory
- Scale independent spin effects in D-brane dynamics
- Born-Infeld Actions from Matrix Theory
- Spin-Spin Interaction In Matrix Theory
- The Spin of the M2-Brane and Spin-Spin Interactions via Probe Techniques
- The Lorentz force between D0 and D6 branes in string and M(atrix) theory
- Comparing D-branes and Black Holes with 0- and 6-brane Charge
- Conservation of Supergravity Currents from Matrix Theory
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- Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave
- D0-branes in an H-field Background and Noncommutative Geometry
- D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theory
- Supersymmetry of Green-Schwarz Superstring and Matrix String Theory
- On The Interaction Of D0-Brane Bound States And RR Photons
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- Linear responses of D0-branes via gauge/gravity correspondence
- On a new relation between entanglement and geometry from M(atrix) theory
- The Secret Gauging of Flavor Symmetries in Noncommutative QFT
- Non-abelian action of D0-branes from Matrix theory in the longitudinal 5-brane background
- M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions
- Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}
- Zero-mode Spectrum of Eleven-dimensional Theory on the Plane-wave Background
- Supersymmetric action of multiple D0-branes from Matrix theory
- Green-Schwarz Superstring Action in Type IIA Supergravity Backgrounds
- M-Theory Brane as Giant Graviton and the Fractional Quantum Hall Effect
- Two-Graviton Interaction in PP-Wave Background in Matrix Theory and Supergravity