Gravity dual of conformal matter collisions in 1+1 dimensions

TL;DR

This paper constructs a gravity dual model for the collision of conformal matter in 1+1 dimensions, capturing the most general conformally invariant flow and relating it to gluon field calculations.

Contribution

It introduces the first gravity dual description of conformal matter collisions in 1+1 dimensions, encompassing the most general flow with arbitrary functions.

Findings

Models opaque collisions with central, fragmentation, and interaction regions.

Relates system size to the saturation scale in gluon field calculations.

Provides a framework for holographic analysis of conformal matter dynamics.

Abstract

We find the three-dimensional gravity dual of a process in which two clouds of (1+1)-dimensional conformal matter moving in opposite directions collide. This gives the most general conformally invariant holographic flow in the 1+1 dimensional boundary theory in terms of two arbitrary functions. With a suitable choice of the arbitrary functions the process can be interpreted as an opaque collision of two extended systems with central, fragmentation and interaction regions. Comparison with classical gluon field calculations relates the size of the system with the saturation scale.