Classical c=1 Tachyon Scattering and 1/2-BPS Correlators

TL;DR

This paper connects half-BPS correlators in N=4 super Yang-Mills theory to tachyon scattering in a c=1 matrix model, revealing a novel mapping between gauge theory operators and string theory amplitudes.

Contribution

It introduces a mapping between gauge theory correlators and c=1 matrix model tachyon scattering, providing a new perspective on half-BPS correlators.

Findings

Half-BPS correlators match tree-level tachyon scattering amplitudes.

Gauge group rank and R-charges correspond to Fermi level and tachyon momenta.

The free fermion picture facilitates this mapping.

Abstract

We study the correlator of chiral primary operators in $\Ncal$=4 super Yang-Mills theory in large $N$ limit. Through the free fermion picture, we map the gauge group rank and R-charges in SYM to the Fermi level and tachyon momenta, respectively, in the c=1 matrix model. By doing so, it is seen that half-BPS correlators are reproduced by tree-level tachyon scattering amplitudes.