One Loop Partition Function in Plane Waves R-R Background

TL;DR

This paper calculates the one-loop partition function of type IIB string theory in a plane wave R-R background, showing it matches the flat background case and analyzing tadpole cancellation conditions.

Contribution

It provides a detailed computation of the one-loop partition function in a plane wave R-R background using two formalisms, confirming their agreement and exploring tadpole cancellation requirements.

Findings

Partition function equals that of flat background.

Path integral and operator formalisms agree.

Tadpole cancellation requires SO(8) gauge group.

Abstract

We compute the one loop partition function of type IIB string in plane wave R-R 5-form background $F^5$ using both path integral and operator formalisms and show that the two results agree perfectly. The result turns out to be equal to the partition function in the flat background. We also study the Tadpole cancellation for the unoriented closed and open string model in plane wave R-R 5-form background studied in hep-th/0203249 and find that the cancellation of the Tadpole requires the gauge group to be SO(8).