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3d-3d correspondence

Contents

Context

Duality in string theory

String theory

Contents

Idea

A duality in string theory: relation between the 3d superconformal worldvolume quantum field theory on M5-brane wrapped on a (hyperbolic) 3-manifold and 3d Chern-Simons theory/analytically continued Chern-Simons theory.

Possibly the conceptual reason behind the truth of the volume conjecture (Gang-Kim-Lee 14, 3.2)

Wrapping the M5-brane on a torsion 3-cycle yields: fractional M2-brane.

Wrapping the M5-brane instead on a 2-manifold yields: AGT correspondence.

References

Original articles include

Review is in

With an eye towards the volume conjecture and M5-brane entropy:

  • Dongmin Gang, Nakwoo Kim, Sangmin Lee, Holography of Wrapped M5-branes and Chern-Simons theory, j.physletb.2014.04.051 (arXiv:1401.3595)

  • Dongmin Gang, Nakwoo Kim, Sangmin Lee, Holography of 3d-3d correspondence at Large NN, JHEP04(2015) 091 (arXiv:1409.6206)

  • Dongmin Gang, Nakwoo Kim, aound (21) of Large NN twisted partition functions in 3d-3d correspondence and Holography, Phys. Rev. D 99, 021901 (2019) (arXiv:1808.02797)

  • Dongmin Gang, Nakwoo Kim, Leopoldo A. Pando Zayas, Precision Microstate Counting for the Entropy of Wrapped M5-branes (arXiv:1905.01559)

Last revised on May 23, 2019 at 10:32:20. See the history of this page for a list of all contributions to it.