String amplitudes in arbitrary dimensions

TL;DR

This paper computes gravitationally dressed tachyon correlators in non-critical dimensions, analyzing their properties within a constrained 2D gravity framework and deriving amplitude poles in a higher-dimensional string context.

Contribution

It introduces a method to calculate gravitationally dressed correlators in non-critical dimensions with constant curvature constraints, extending string amplitude analysis.

Findings

Derived poles of generalized Shapiro-Virasoro amplitudes.

Established scaling dimensions match bare conformal dimensions.

Provided a framework for non-critical string amplitude calculations.

Abstract

We calculate gravitational dressed tachyon correlators in non critcal dimensions. The 2D gravity part of our theory is constrained to constant curvature. Then scaling dimensions of gravitational dressed vertex operators are equal to their bare conformal dimensions. Considering the model as d+2 dimensional critical string we calculate poles of generalized Shapiro-Virasoro amplitudes.