Supergravity dressing of beta-functions in N=1 and N=2 supersymmetric models

TL;DR

This paper investigates how supergravity influences one-loop beta-functions in N=1 and N=2 supersymmetric models, revealing that N=2 theories are unaffected by such dressing, with results verified through multiple methods.

Contribution

It provides exact results on supergravity dressing effects in supersymmetric beta-functions and demonstrates the absence of dressing in N=2 theories using superconformal and perturbative approaches.

Findings

No dressing of one-loop beta-functions in N=2 theories.

Exact supergravity dressing results obtained via superconformal gauge.

Verification of results through perturbative calculations in light-cone gauge.

Abstract

We discuss the dressing of one-loop sigma-model beta-functions by induced supergravity, for both N=1 and N=2 supersymmetric theories. We obtain exact results by a superconformal gauge argument, and verify them in the semi-classical limit by explicit perturbative calculations in the light-cone gauge. We find that for N=2 theories there is no dressing of the one-loop beta-functions.