Brane backreactions and the Fischler-Susskind mechanism in conformal field theory

TL;DR

This paper investigates how D-branes influence closed string moduli through backreaction effects in conformal field theory, deriving explicit backreaction terms and analyzing their impact on renormalization group flow, aligning with geometric predictions.

Contribution

It provides explicit formulas for D-brane backreaction in conformal field theory and demonstrates their effects on RG flow, connecting quantum field theory calculations with geometric intuition.

Findings

Backreaction terms derived explicitly

RG flow analysis matches geometric expectations

D-brane effects influence bulk moduli stability

Abstract

The backreaction of D-branes on closed string moduli is studied in perturbed conformal field theory. To this end we analyse the divergences in the modular integral of the annulus diagram. By the Fischler-Susskind mechanism, these divergences lead to additional terms in the bulk renormalisation group equations. We derive explicit expressions for these backreaction terms, and follow the resulting renormalisation group flow in several examples, finding agreement with geometric expectations.