String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field

TL;DR

This paper presents a method for solving string equations in backgrounds with commuting Killing vectors and applies it to AdS_3 x S^3 x T^4 with NS-NS B-field, deriving giant magnon solutions and finite-size corrections.

Contribution

It introduces a new approach for solving string equations in complex backgrounds and explicitly constructs giant magnon solutions in AdS_3 x S^3 x T^4 with B-field.

Findings

Derived dyonic giant magnon solutions.

Obtained finite-size correction to dispersion relation.

Validated the approach for a broad class of configurations.

Abstract

We develop an approach for solving the string equations of motion and Virasoro constraints in any background which has some (unfixed) number of commuting Killing vector fields. It is based on a specific ansatz for the string embedding. We apply the above mentioned approach for strings moving inAdS_3 x S^3 x T^4 with 2-form NS-NS B-field. We succeeded to find solutions for a large class of string configurations on this background. In particular, we derive dyonic giant magnon solutions in the R_t x S^3 subspace, and obtain the leading finite-size correction to the dispersion relation.