Holomorphic Factorization and Renormalization Group in Closed String Theory

TL;DR

This paper explores how the world sheet renormalization group in closed string theory can be factorized into left- and right-moving sectors using a Minkowski regularization, with explicit calculations for tachyon and graviton.

Contribution

It applies the Kawai-Lewellen-Tye prescription to the world sheet renormalization group, demonstrating factorization in Minkowski regularization for closed strings.

Findings

Successful factorization into left- and right-moving sectors

Explicit calculations for tachyon and graviton amplitudes

Maintains factorization with Minkowski regularization

Abstract

The prescription of Kawai, Lewellen and Tye for writing the closed string tree amplitudes as sums of products of open string tree amplitudes, is applied to the world sheet renormalization group equation. The main point is that regularization of the Minkowski (rather than Euclidean) world sheet theory allows factorization into left-moving and right-moving sectors to be maintained. Explicit calculations are done for the tachyon and the (gauge-fixed) graviton.