Energy transport in holographic junctions

TL;DR

This paper investigates energy transport across a three-way conformal junction using holography, revealing how energy transmission varies with string tension and establishing bounds related to the effective central charge.

Contribution

It introduces a holographic model for energy transport in multi-CFT junctions and analyzes how transmission depends on string tension, extending to N-way junctions.

Findings

Energy transmission coefficients vary monotonically with string tension.

Total energy transmission is bounded by the effective central charge.

Results generalize to junctions connecting N CFTs.

Abstract

We study energy transport in a conformal junction connecting three 2D conformal field theories using the AdS/CFT correspondence. The holographic dual consists of three AdS$_3$ spacetimes joined along the worldsheet of a tensile string anchored at the junction. Within a specific range of string tension, where the bulk solution is uniquely determined, we find that all energy reflection and transmission coefficients vary monotonically with the string tension. Notably, the total energy transmission, which quantifies the energy flux from one CFT through the junction, is bounded above by the effective central charge associated with both the CFTs and the junction. Results for energy transport in conformal interfaces are recovered in a special limit. Furthermore, we extend our analysis to junctions connecting $N$ 2D CFTs.