Supersymmetric completion of supersymmetric quantum mechanics
arXiv:hep-th/9903022 · doi:10.1016/S0550-3213(99)00361-2
Abstract
Via supersymmetry argument, we determine the effective action of the SU(2) supersymmetric Yang-Mills quantum mechanics up to two constants, which results from the full supersymmetric completion of the F^4 term. The effective action, consisting of zero, two, four, six and eight fermion terms, agrees with the known perturbative one-loop calculations from the type II string theory and the matrix theory. Our derivation thus demonstrates its non-renormalization properties, namely, the one-loop exactness of the aforementioned action and the absence of the non-perturbative corrections. We briefly discuss generalizations to other branes and the comparison to the DLCQ supergravity analysis. In particular, our results show that the stringent constraints from the supersymmetry are responsible for the agreement between the matrix theory and supergravity with sixteen supercharges.
26 pages, LaTeX, no figures
References in corpus (11)
- Constraints From Extended Supersymmetry in Quantum Mechanics
- Constraints on Higher Derivative Operators in Maximally Supersymmetric Gauge Theory
- Scale independent spin effects in D-brane dynamics
- Spin-Orbit Interaction from Matrix Theory
- Spin-Spin Interaction In Matrix Theory
- The Matrix Theory S-Matrix
- Infinite Lorentz boost along the M-theory circle and non-asymptotically flat solutions in supergravities
- Effective Action for Membrane Dynamics in DLCQ theory on a Two-torus
- D=11 SUGRA as the Low Energy Effective Action of Matrix Theory: Three Form Scattering
- Constraints on Higher Derivative Operators in the Matrix Theory Effective Lagrangian
- Higher Order Spin-dependent Terms in D0-brane Scattering from the Matrix Model
Cited by in corpus (13)
- M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
- Branes from Matrix Theory in PP-Wave Background
- The Conformal Anomaly of M5-Branes
- On the supersymmetric effective action of Matrix theory
- On the Supersymmetry and Gauge Structure of Matrix Theory
- Power of Supersymmetry in D-particle Dynamics
- Structure in Supersymmetric Yang-Mills Theory
- Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
- Supersymmetry of Green-Schwarz Superstring and Matrix String Theory
- Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory II
- A Theorem on the Power of Supersymmetry in Matrix Theory
- The SU(N) Matrix Model at Two Loops
- Eight Fermion Terms in the Effective Action of the ABJM Model