Giant Magnons and Singular Curves

Abstract

We obtain the giant magnon of Hofman-Maldacena and its dyonic generalisation on R x S^3 < AdS_5 x S^5 from the general elliptic finite-gap solution by degenerating its elliptic spectral curve into a singular curve. This alternate description of giant magnons as finite-gap solutions associated to singular curves is related through a symplectic transformation to their already established description in terms of condensate cuts developed in hep-th/0606145.

34 pages, 17 figures, minor change in abstract

References in corpus (8)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Dressing the Giant Magnon
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• Dressing the Giant Magnon II

Cited by in corpus (19)

• Superdiffusion in spin chains
• Superuniversality of superdiffusion
• Analytic Solution of Bremsstrahlung TBA
• Finite-Size Effects for Dyonic Giant Magnons
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Comment on the Scaling Function in AdS4 x CP3
• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Quantum Stability for the Heisenberg Ferromagnet
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Divergent energy strings in $Ad{S}_5\times S^5$ with three angular momenta