Spinning strings in AdS_5 x S^5: A worldsheet perspective

TL;DR

This paper investigates semi-classical spinning string states in AdS_5 x S^5 using RNS techniques, deriving an effective Lagrangian for massive NSNS strings and analyzing energy-spin relations in this background.

Contribution

It introduces a worldsheet approach to spinning strings in AdS_5 x S^5, constructing an effective Lagrangian for massive NSNS strings with flux.

Findings

Derived the dependence of AdS energy on spin and angular momentum.

Formulated an effective quadratic Lagrangian for NSNS strings in flux backgrounds.

Analyzed the energy-spin relations specific to AdS_5 x S^5.

Abstract

We examine the leading Regge string states relevant for semi-classical spinning string solutions. Using elementary RNS techniques, quadratic terms in an effective lagrangian are constructed which describe massive NSNS strings in a space-time with five-form flux. We then examine the specific case of AdS_5 x S^5, finding the dependence of AdS "energy" (E_0) on spin in AdS (S), spin on the sphere (J), and orbital angular momentum on the sphere (\nabla_a \nabla^a).