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Towards the all-loop worldsheet S matrix for AdS₃×S³×T⁴.

Riccardo Borsato1, Olof Ohlsson Sax2, Alessandro Sfondrini3

  • 1Institute for Theoretical Physics and Spinoza Institute, Utrecht University, 3508 TD Utrecht, Netherlands.

Physical Review Letters
|October 11, 2014
PubMed
Summary
This summary is machine-generated.

We derived the complete worldsheet S matrix for AdS₃×S³×T⁴, including previously unaddressed massless modes. This breakthrough reveals their nonrelativistic dispersion and well-defined scattering, advancing AdS/CFT integrability studies.

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Area of Science:

  • Theoretical physics
  • String theory
  • Quantum field theory

Background:

  • AdS/CFT correspondence relates gravitational theories in Anti-de Sitter space to conformal field theories.
  • Integrability is a key property in understanding these dualities, particularly in lower dimensions.
  • Previous studies on AdS₃×S³×T⁴ faced challenges in fully characterizing all excitations.

Purpose of the Study:

  • To derive the all-loop worldsheet S matrix for fundamental excitations on AdS₃×S³×T⁴.
  • To incorporate massless modes, which were overlooked in prior research.
  • To establish a foundation for a comprehensive investigation of AdS₃/CFT₂ integrability.

Main Methods:

  • Studying the off-shell symmetry algebra of the superspace action.
  • Utilizing a light cone gauge formulation.
  • Analyzing the scattering properties of both massive and massless modes.

Main Results:

  • The all-loop worldsheet S matrix for fundamental excitations on AdS₃×S³×T⁴ has been obtained.
  • Massless modes are automatically included and exhibit a nonrelativistic dispersion relation.
  • The scattering of these massless modes is naturally well-defined, confirming their giant-magnon form.

Conclusions:

  • This work provides a complete description of the S matrix for AdS₃×S³×T⁴.
  • The inclusion and characterization of massless modes are crucial advancements.
  • The findings pave the way for a full exploration of AdS₃/CFT₂ integrability.