Note on Plane Wave Quantum Mechanics
نویسندگان
چکیده
We study the quantum mechanics of BMN operators with two scalar impurities and arbitrarily many traces, at one loop and all genus. We prove an operator identity which partially elucidates the structure of this quantum mechanics, provides some support for a conjectured formula for the free all genus two-point functions, and demonstrates that a single O(g2 2) contact term arises in the Hamiltonian as a result of transforming from the natural gauge theory basis to the string basis. We propose to identify the S-matrix of this quantum mechanics with the S-matrix of string theory in the plane-wave background.
منابع مشابه
Plane - wave Matrix Theory from N = 4 Super Yang - Mills on R ×
Recently a mass deformation of the maximally supersymmetric Yang-Mills quantum mechanics has been constructed from the supermembrane action in eleven dimensional plane-wave backgrounds. However, the origin of this plane-wave matrix theory in terms of a compactification of a higher dimensional Super Yang-Mills model has remained obscure. In this paper we study the Kaluza-Klein reduction of D = 4...
متن کاملTiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
We conjecture that the discrete light-cone quantization (DLCQ) of strings on the maximally supersymmetric type IIB plane-wave background in the sector with J units of lightcone momentum is a supersymmetric 0 + 1 dimensional U(J) gauge theory (quantum mechanics) with PSU(2|2)×PSU(2|2)×U(1) superalgebra. The conjectured Hamiltonian for the plane-wave matrix (string) theory, the tiny graviton matr...
متن کاملA Time-Domain Method for Shape Reconstruction of a Target with Known Electrical Properties (RESEARCH NOTE)
This paper uses a method for shape reconstruction of a 2-D homogeneous object with arbitrary geometry and known electrical properties. In this method, the object is illuminated by a Gaussian pulse, modulated with sinusoidal carrier plane wave and the time domains’ footprint signal due to object presence is used for the shape reconstruction. A nonlinear feedback loop is used to minimize the diff...
متن کاملPlane Wave Propagation Through a Planer Slab
An approximation technique is considered for computing transmission and reflection coefficients for propagation of an elastic pulse through a planar slab of finite width. The propagation of elastic pulse through a planar slab is derived from first principles using straightforward time-dependent method. The paper ends with calculations of enhancement factor for the elastic plane wave and it is s...
متن کاملFinding Electrostatics modes in Metal Thin Films by using of Quantum Hydrodynamic Model
In this paper, by using a quantum hydrodynamic plasma model which incorporates the important quantum statistical pressure and electron diffraction force, we present the corrected plasmon dispersion relation for graphene which includes a k quantum term arising from the collective electron density wave interference effects (which is integer and constant and k is wave vector). The longitudinal ...
متن کامل