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Spin chains and string theory.

Martin Kruczenski1

  • 1Department of Physics, Brandeis University Waltham, Massachusetts 02454, USA. martink@brandeis.edu

Physical Review Letters
|November 5, 2004
PubMed
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We demonstrate how rotating strings with two angular momenta validate the anti-de Sitter/conformal field theory correspondence. This reveals a map between boundary theory spin and string position, showing string actions emerging from gauge theories.

Area of Science:

  • High-energy physics
  • String theory
  • Quantum field theory

Background:

  • The anti-de Sitter/conformal field theory (AdS/CFT) correspondence is a key concept linking quantum gravity and quantum field theory.
  • Testing this correspondence with rotating strings provides insights into the duality between string theory and gauge theories.

Purpose of the Study:

  • To generalize the test of the AdS/CFT correspondence using rotating strings with two angular momenta.
  • To establish a connection between the low-energy description of a spin chain and the string action in AdS5xS5.

Main Methods:

  • Comparing a low-energy spin chain action from the field theory side with a limiting case of the string action in AdS5xS5.
  • Analyzing rotating strings with two angular momenta.

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Main Results:

  • The study shows agreement between the two actions, providing a generalized test of the AdS/CFT correspondence.
  • A map is established between the mean spin value in the boundary theory and the string's position in the bulk.
  • It is demonstrated how a string action can emerge from a gauge theory in the large-N limit.

Conclusions:

  • The findings offer a more general framework for testing the AdS/CFT correspondence.
  • The research provides a deeper understanding of the emergent nature of string actions from gauge theories.
  • This work reinforces the validity of the AdS/CFT correspondence through a novel approach.