Exact approaches on the string worldsheet

Saskia Demulder, Sibylle Driezen, Bob Knighton, Gerben Oling, Ana L. Retore, Fiona K. Seibold, Alessandro Sfondrini, Ziqi Yan

Research output: Contribution to journalReview articlepeer-review

Abstract

We review different exact approaches to string theory. In the context of the Green-Schwarz superstring, we discuss the action in curved backgrounds and its supercoset formulation, with particular attention to superstring backgrounds of the AdS3 type supported by both Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. This is the basis for the discussion of classical integrability, of worldsheet-scattering factorisation in the uniform lightcone gauge, and eventually of the string spectrum through the mirror thermodynamic Bethe ansatz, which for AdS3 backgrounds was only derived and analysed very recently. We then illustrate some aspects of the Ramond-Neveu-Schwarz string, and introduce the formalism of Berkovits-Vafa-Witten, which has seen very recent applications to AdS3 physics, which we also briefly review. Finally, we present the relation between M-theory in the discrete lightcone quantisation and decoupling limits of string theory that exhibit non-relativistic behaviors, highlighting the connection with integrable T T ¯ deformations, as well as the relation between spin-matrix theory and Landau-Lifshitz models. This review is based on lectures given at the Young Researchers Integrability School and Workshop 2022 ‘Taming the string worldsheet’ at NORDITA, Stockholm.

Original languageEnglish
Article number423001
JournalJournal of Physics A: Mathematical and Theoretical
Volume57
Issue number42
DOIs
StatePublished - 8 Nov 2024

Keywords

  • AdS3/CFT2
  • Green-Schwarz superstring
  • hybrid superstring
  • integrable sigma models
  • mirror thermodynamic Bethe ansatz
  • non-relativistic strings
  • worldsheet S matrix

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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