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Setting Limits on Supersymmetry Using Simplified Models
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Integrable deformation of the AdS5×S5 superstring action.

F Delduc1, M Magro1, B Vicedo2

  • 1Laboratoire de Physique, ENS Lyon et CNRS UMR 5672, Université de Lyon, 46 Allée d'Italie, 69364 LYON Cedex 07, France.

Physical Review Letters
|March 4, 2014
PubMed
Summary

Researchers present an integrable deformation of the type IIB superstring action on AdS5×S5. This study details the deformed field equations, Lax connection, and kappa-symmetry transformations, anticipating a q-deformed symmetry.

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Area of Science:

  • Theoretical Physics
  • String Theory
  • Supersymmetry

Background:

  • The AdS5×S5 spacetime is a key background in string theory, particularly for studying conformal field theories via the AdS/CFT correspondence.
  • Integrable deformations are crucial for understanding the quantum behavior of string theories in curved backgrounds.

Purpose of the Study:

  • To introduce and analyze an integrable deformation of the type IIB superstring action on the AdS5×S5 spacetime.
  • To explore the resulting changes in the theory's symmetries and mathematical structure.

Main Methods:

  • Construction of a deformed superstring action.
  • Derivation of the corresponding deformed field equations.
  • Identification of the Lax connection for the deformed theory.
  • Analysis of kappa-symmetry transformations under the deformation.

Main Results:

  • A specific integrable deformation of the type IIB AdS5×S5 superstring action is successfully presented.
  • The deformed field equations, Lax connection, and kappa-symmetry transformations have been explicitly derived.
  • The underlying psu(2,2|4) symmetry is conjectured to undergo a q-deformation.

Conclusions:

  • The presented deformation provides a new tool for studying integrable aspects of superstring theory in AdS5×S5.
  • This work suggests a connection between integrable deformations and quantum group symmetries in string theory.