Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture

TL;DR

This paper proposes that the DLCQ of type IIB plane-wave string theory can be described by a supersymmetric quantum mechanical matrix model, supported by analysis of its Hamiltonian, vacua, spectrum, and coupling.

Contribution

It introduces the tiny graviton matrix theory as a novel supersymmetric matrix model for the DLCQ of IIB plane-wave strings, extending to AdS_5 x S^5.

Findings

Hamiltonian analysis supports the conjecture

Spectrum and vacua analysis provide evidence

Extension to AdS_5 x S^5 discussed

Abstract

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 light-cone momentum is a supersymmetric 0+1 dimensional U(J) gauge theory (quantum mechanics) with PSU(2|2)x PSU(2|2)x U(1) superalgebra. The conjectured Hamiltonian for the plane-wave matrix (string) theory, the tiny graviton matrix theory, is the quantized (regularized) three brane action on the same background. We present some pieces of evidence for this conjecture through analysis of the Hamiltonian, its vacua, spectrum and coupling constant. Moreover, we discuss an extension of our conjecture to the DLCQ of type IIB strings on AdS_5 x S^5 geometry.