nLab duality in string theory -- contents

duality in string theory

general mechanisms

• T-duality (topological T-duality, non-abelian T-duality)

  mirror symmetry

• S-duality

  electric-magnetic duality, Montonen-Olive duality, geometric Langlands duality

• U-duality

  exceptional generalized geometry

string-fivebrane duality

• dual heterotic string theory

string-string dualities

• HET - I

• HET - II

• HET - M

M-theory

• M - IIA.

• M- IIB

F-theory

• M - F

• F - HET

string-QFT duality

• AdS-CFT duality

  (an open/closed string duality)

  • AdS2/CFT1 duality

  • AdS3/CFT2 duality

    • p-adic AdS/CFT duality

  • AdS-QCD correspondence

• Chern-Simons theory as topological string theory

QFT-QFT duality:

• effective QFT incarnations of open/closed string duality,

  relating (super-)gravity to (super-)Yang-Mills theory:

  • KLT relations

  • BCJ relations

  • classical double copy

• Kramers-Wannier duality

• Seiberg duality (swapping NS5-branes)

• AGT correspondence (wrapped M5-branes)

• 3d-3d correspondence (wrapped M5-branes)