One-loop spectroscopy of semiclassically quantized strings: bosonic sector

Abstract

We make a further step in the analytically exact quantization of spinning string states in semiclassical approximation, by evaluating the exact one-loop partition function for a class of two-spin string solutions for which quadratic fluctuations form a non-trivial system of coupled modes. This is the case of a folded string in the $SU(2)$ sector, in the limit described by a quantum Landau-Lifshitz model. The same applies to the full bosonic sector of fluctuations over the folded spinning string in $Ad{S}_5$ with an angular momentum $J$ in $S^5$. Fluctuations are governed by a special class of fourth-order differential operators, with coefficients being meromorphic functions on the torus, which we are able to solve exactly.

v2, references and two footnotes added

References in corpus (43)

• Review of AdS/CFT Integrability: An Overview
• A semi-classical limit of the gauge/string correspondence
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Classical/quantum integrability in AdS/CFT
• Multi-spin string solutions in AdS_5 x S^5
• Spin chains and string theory
• Quantum spectral curve for AdS_5/CFT_4
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Precision Spectroscopy of AdS/CFT
• Exact results for the entanglement entropy and the energy radiated by a quark
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Generalized quark-antiquark potential at weak and strong coupling
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Worldsheet Scattering in AdS_5 x S^5
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• On one-loop correction to energy of spinning strings in S^5
• The Quantum Spectral Curve of the ABJM theory
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Solvable models of strings in homogeneous plane wave backgrounds
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Two-dimensional S-matrices from unitarity cuts
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Quark-antiquark potential in AdS at one loop
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• Two-loop cusp anomaly in ABJM at strong coupling
• Exact computation of one-loop correction to energy of spinning folded string in AdS_5 x S^5
• Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• QCD-like properties for anomalous dimensions in N=4 SYM

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• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Green-Schwarz superstring on the lattice
• Semiclassical $p$-branes in hyperbolic space
• Remarks on the geometrical properties of semiclassically quantized strings
• On regularizing the AdS superstring worldsheet