Effective Action for Membrane Dynamics in DLCQ theory on a Two-torus
arXiv:hep-th/9808183 · doi:10.1103/PhysRevD.59.021901
Abstract
The effective action for the membrane dynamics on the background geometry of the -sector DLCQ theory compactified on a two-torus is computed via supergravity. We compare it to the effective action obtained from the matrix theory, i.e., the (2+1)-dimensional supersymmetric Yang-Mills (SYM) theory, including the one-loop perturbative and full non-perturbative instanton effects. Consistent with the DLCQ prescription of theory {\em a la} Susskind, we find the precise agreement for the finite -sector (off-conformal regime), as well as for the large limit (conformal regime), providing us with a concrete example of the correspondence between the matrix theory and the DLCQ theory. Non-perturbative instanton effects in the SYM theory conspire to yield the eleven-dimensionally covariant effective action.
11 pages, latex, no figures
References in corpus (8)
- Gauge Theory Correlators from Non-Critical String Theory
- Supergravity and The Large N Limit of Theories With Sixteen Supercharges
- Why is the Matrix Model Correct?
- Branes probing black holes
- Infinite Lorentz boost along the M-theory circle and non-asymptotically flat solutions in supergravities
- On membrane interaction in matrix theory
- Interactions Between Branes and Matrix Theories
- M-momentum Transfer between Gravitons, Membranes, and Fivebranes as Perturbative Gauge Theory Processes
Cited by in corpus (15)
- M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
- A Nonperturbative Test of M2-Brane Theory
- The M(atrix) model of M-theory
- D2 or M2? A Note on Membrane Scattering
- Supersymmetric completion of supersymmetric quantum mechanics
- Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory I
- Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory II
- Non-holomorphic Corrections from Threebranes in F Theory
- Tachyon Condensation and Graviton Production in Matrix Theory
- Eleven-dimensional massless superparticles and matrix theory spin-orbit couplings revisited
- Non-perturbative membrane spin-orbit couplings in M/IIA theory
- Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
- N=8 SCFT and M Theory on AdS_4 x RP^7
- Structure in Supersymmetric Yang-Mills Theory
- Dynamical Aspects on Duality between SYM and NCOS from D2-F1 Bound State