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

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.

arXiv comment24 pages, no figures

References in corpus (26)

• Gauge Theory Correlators from Non-Critical String Theory
• Review of AdS/CFT Integrability: An Overview
• Giant Magnons
• Foundations of the AdS_5 x S^5 Superstring. Part I
• Anti De Sitter Space And Holography
• Finite-size Effects from Giant Magnons
• Integrability and the AdS(3)/CFT(2) correspondence
• Dyonic Giant Magnons
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• All-loop Bethe ansatz equations for AdS3/CFT2
• Dressing phases of AdS3/CFT2
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Worldsheet scattering in AdS(3)/CFT(2)
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Finite-Size Effects for Dyonic Giant Magnons
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Exact S-matrices for AdS_3/CFT_2
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Worldsheet operator product expansions and p-point functions in AdS3/CFT2

Cited by in corpus (21)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• Spiky strings on AdS3 x S3 with NS-NS flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Multi-spike strings in $Ad{S}_3$ with mixed three-form fluxes
• D1 string dynamics in curved backgrounds with fluxes
• Minimal surfaces with mixed three-form flux
• On N-spike strings in conformal gauge with NS-NS fluxes
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• N spike D-strings in AdS Space with mixed flux
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field