Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models

Abstract

From the SU(2) spin chain sigma model at the one-loop and two-loop orders we recover the classical circular string solution with two S^5 spins (J_1, J_2) in the AdS_5 x S^5 string theory. In the SL(2) sector of the one-loop spin chain sigma model we explicitly construct a solution which corresponds to the folded string solution with one AdS_5 spin S and one S^5 spin J. In the one-loop general sigma model we demonstrate that there exists a solution which reproduces the energy of the circular constant-radii string solution with three spins (S_1, S_2, J).

16 pages, LaTeX, no figures

References in corpus (12)

• Bethe Ansatz for Quantum Strings
• Integrability in QCD and beyond
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• On one-loop correction to energy of spinning strings in S^5
• SL(2) spin chain and spinning strings on AdS_5xS^5
• Two-loop commuting charges and the string/gauge duality
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Semiclassical strings in AdS_5 x S^5 and scalar operators in N=4 SYM theory
• Pulsating strings in warped AdS_6 x S^4 geometry

Cited by in corpus (15)

• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spiky strings and single trace operators in gauge theories
• Classical/quantum integrability in non-compact sector of AdS/CFT
• One-Loop QCD Spin Chain and its Spectrum
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Spin chain sigma models with fermions
• Wound and Rotating Strings in AdS_5 x S^5
• Superstring sigma models from spin chains: the SU(1,1|1) case
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Sigma model from SU(1,1|2) spin chain
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• Renormalization group flow of reduced string actions
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5