On pp wave limit for $ \eta $ deformed superstrings

TL;DR

This paper investigates the pp wave limit of eta deformed superstrings in AdS5 x S5, analyzing flux effects, curvature corrections, and BMN dynamics, revealing deviations from standard type IIB solutions beyond the pp wave approximation.

Contribution

It provides a detailed analysis of the pp wave limit for eta deformed superstrings, including flux effects, curvature corrections, and BMN dynamics, extending understanding of string behavior in deformed backgrounds.

Findings

PP wave limit satisfies type IIB equations with fluxes.

Curvature corrections appear beyond the pp wave limit.

Computed string spectrum in the bosonic sector.

Abstract

In this paper, based on the notion of plane wave string/gauge theory duality, we explore the pp wave limit associated with the bosonic sector of $ \eta $ deformed superstrings propagating in $ (AdS_5 \times S^{5})_{\eta} $. Our analysis reveals that in the presence of NS-NS and RR fluxes, the pp wave limit associated to full ABF background satisfies type IIB equations in its standard form. However, the beta functions as well as the string Hamiltonian start receiving non trivial curvature corrections as one starts probing beyond pp wave limit which thereby takes solutions away from the standard type IIB form. Furthermore, using \textit{uniform} gauge, we also explore the BMN dynamics associated with short strings and compute the corresponding Hamiltonian density. Finally, we explore the Penrose limit associated with the HT background and compute the corresponding stringy spectrum for the bosonic sector.