Quantum fluctuations of rotating strings in AdS_5 x S^5

Abstract

We discuss quantum fluctuations of a class of rotating strings in AdS_5 x S^5. In particular, we develop a systematic method to compute the one-loop sigma-model effective actions in closed forms as expansions for large spins. As examples, we explicitly evaluate the leading terms for the constant radii strings in the SO(6) sector with two equal spins, the SU(2) sector, and the SL(2) sector. We also obtain the leading quantum corrections to the space-time energy for these sectors.

27 pages, no figures; (v2) references added; (v3) explanations added

References in corpus (36)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Type IIB superstring action in AdS_5 x S^5 background
• The N=4 SYM Integrable Super Spin Chain
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Bethe Ansatz for Quantum Strings
• Multi-spin string solutions in AdS_5 x S^5
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Spin chains and string theory
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5 and integrable systems
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Aspects of Semiclassical Strings in AdS${}_5$
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Matching Higher Conserved Charges for Strings and Spins
• Spinning strings and AdS/CFT duality
• Yang-Mills Duals for Semiclassical Strings
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• The Algebraic Curve of 1-loop Planar N=4 SYM
• On one-loop correction to energy of spinning strings in S^5
• Strings in the near plane wave background and AdS/CFT
• Speeding Strings
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• Finite-Size Corrections to Anomalous Dimensions in N=4 SYM Theory
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Semiclassical spinning strings and confining gauge theories
• Construction of bosonic string theory on infinitely curved Anti-de Sitter space
• String bits in small radius AdS and weakly coupled N=4 Super Yang-Mills Theory: I
• Penrose limits and Green-Schwarz strings
• The cancellation of worldsheet anomalies in the D=10 Green--Schwarz heterotic string sigma--model

Cited by in corpus (9)

• Quantum corrections to the string Bethe ansatz
• Infinite spin limit of semiclassical string states
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Stringy sums and corrections to the quantum string Bethe ansatz
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Strings as Multi-Particle States of Quantum Sigma-Models
• Aspects of Integrability in AdS/CFT Duality
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality