On regularizing the AdS superstring worldsheet

Abstract

In this short review (to appear as a contribution to an edited volume) we discuss perturbative and non-perturbative approaches to the quantization of the Green-Schwarz string in AdS backgrounds with RR-fluxes, where the guiding thread is the use of genuine field theory methods, the search for a good regularization scheme associated to them and the generality of the analysis carried out. We touch upon various computational setups, both analytical and numerical, and on the role of their outcomes in understanding the detailed structure of the AdS/CFT correspondence.

Based on arXiv:1702.02164, arXiv:1702.02005, arXiv:1605.01726, arXiv:1601.04670, arXiv:1512.00841, arXiv:1507.01883, arXiv:1409.8674, arXiv:1407.4788, arXiv:1401.0448, arXiv:1304.7252, arXiv:1304.1798. To appear as Chapter 5 in "Space-Time-Matter, Analytic and Geometric Structures", Ed. by Jochen Bruening and Matthias Staudacher, ISBN 978-3-11-045215-0 (to be published in March 2018)

References in corpus (10)

• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Monte Carlo calculations of the finite density Thirring model
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• N=4 Supersymmetry on a Space-Time Lattice
• Computation of determinants using contour integrals
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector