D1-brane in beta-Deformed Background

TL;DR

This paper explores various rotating and wound D1-brane configurations in AdS_5×S^5 and its beta-deformed version, deriving solutions like giant magnons and spikes, and analyzing their behavior in different flux limits.

Contribution

It presents new solutions for D1-branes in beta-deformed backgrounds and connects their equations to fundamental string configurations in certain limits.

Findings

Giant magnon and spike solutions on D1-branes in AdS_5×S^5.

In the large electric flux limit, D1-brane equations reduce to fundamental string equations.

Constructed a rotating D1-brane with two equal spins on S^5_γ.

Abstract

We study various configurations of rotating and wound D1-brane in AdS_5\times S^5 background and in its beta deformed version. We find giant magnon and spike solutions on the world-volume of D1-brane in AdS_5\times S^5 background. We also analyse the equations of motion of D1-brane in beta-deformed background. We show that in the limit of large electric flux on world-volume of D1-brane they reduce to the equations that describe collection of large number of fundamental strings. We also construct rotating and wound D1-brane solution that has two equal spins on S^5_\gamma.