On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background

TL;DR

This paper clarifies the relationship between semiclassical analyses of Green-Schwarz and pure spinor superstring formalisms in AdS_5 x S^5, showing they yield identical partition functions and one-loop corrections for certain classical solutions.

Contribution

It demonstrates the equivalence of semiclassical partition functions and one-loop energy corrections between the two formalisms in specific classical string configurations.

Findings

Green-Schwarz and pure spinor formalisms have identical semiclassical partition functions.

For rigid classical strings, both formalisms predict the same one-loop energy corrections.

The analysis applies to a simple family of classical solutions in AdS_5 x S^5.

Abstract

Relation between semiclassical analyses of Green-Schwarz and pure spinor formalisms in an AdS_5 x S^5 background is clarified. It is shown that the two formalisms have identical semiclassical partition functions for a simple family of classical solutions. It is also shown that, when the classical string is furthermore rigid, this in turn implies that the two formalisms predict the same one-loop corrections to spacetime energies.