Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
arXiv:1211.5587 · doi:10.1007/JHEP02(2013)102
Abstract
This paper studies semiclassical strings in AdS3 x S3 x S3 x S1 using the algebraic curve. Calculating one-loop corrections to the energy of the giant magnon fixes the constant term c in the expansion of the coupling h(λ). Comparing these to similar corrections for long spinning strings gives a prediction for the one-loop term f_1 in the expansion of the cusp anomalous dimension f(h), for all α(where α--> 1 is the AdS3 x S3 x T4 limit). For these semiclassical mode sums there is a similar choice of regularisation prescriptions to that encountered in AdS4 x CP3. However at α\neq 1/2 they lead to different values of f_1 and are therefore not related by a simple change of the coupling. The algebraic curve is also used to calculate various finite-size corrections for giant magnons, which are well-behaved as α--> 1, and can be compared to the recently published S-matrices.
16+12 pages. v2 improves comparison to S-matrices, and adds references. v3 has small textual changes to match published version
References in corpus (31)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Green-Schwarz action for Type IIA strings on
- Finite-size Effects from Giant Magnons
- Quantum corrections to the string Bethe ansatz
- The all loop AdS4/CFT3 Bethe ansatz
- Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
- Dyonic Giant Magnons
- B-field in AdS(3)/CFT(2) Correspondence and Integrability
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
- Spinning strings at one-loop in AdS_4 x P^3
- The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
- The AdS4/CFT3 algebraic curve
- Infinite spin limit of semiclassical string states
- The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
- Complete 1-loop test of AdS/CFT
- Dressing the Giant Magnon
- Gauge invariant finite size spectrum of the giant magnon
- Exact expressions for quantum corrections to spinning strings
- S-matrix for magnons in the D1-D5 system
- The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
- Finite-Size Effects for Dyonic Giant Magnons
- World-sheet scattering in AdS_5 x S^5 at two loops
- Comment on the Scaling Function in AdS4 x CP3
- Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
- Finite size effects for giant magnons on physical strings
- Quantum Strings and the AdS4/CFT3 Interpolating Function
- Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
- Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
- Quantum Scattering of Giant Magnons
- A New and Elementary CP^n Dyonic Magnon