Giant Magnons and Spiky Strings on S^3 with B-field

TL;DR

This paper investigates rotating string solutions on S^3 with a B-field, revealing giant magnon and spiky string solutions, connecting them to the sine-Gordon model and fractional spin chains, and proposing a B-deformed SYM dual.

Contribution

It introduces new rotating string solutions with B-field, links them to integrable models, and proposes a dual gauge theory in the presence of B-field.

Findings

Existence of spiky and giant magnon solutions with B-field.

Mapping of magnon solutions to fractional spin chain excitations.

Proposal of a B-deformed SYM as the dual gauge theory.

Abstract

We study solutions for a rotating string on S^3 with a background NS-NS B-field and show the existence of spiky string and giant magnon as two limiting solutions. We make a connection to the sine-Gordon model via the Polyakov worldsheet action and study the effect of B-field. In particular, we find the magnon solution can be mapped to the excitation of a fractional spin chain. We conjecture a B-deformed SYM to be the gauge theory dual to this background.