Contents

# Contents

## Idea

The conformal bootstrap program (Belavin-Polyakov-Zamolofchikov 84) is an attempt to construct and classify conformal field theories non-perturbatively by axiomatizing the properties of their operator product expansion/correlation functions.

The conformal bootstrap was proposed in the 1970s as a strategy for calculating the properties of second-order phase transitions. After spectacular success elucidating two-dimensional systems, little progress was made on systems in higher dimensions until a recent renaissance beginning in 2008 (Poland-Simmons-Duffin 16).

The generalization of the conformal bootstrap to superconformal field theories has the potential to provide, via AdS/CFT, a precise and detailed construction of large-N and asymptotically AdS string/M-theory.

## References

### Superconformal bootstrap

Discussion of superconformal bootstrap in view of AdS/CFT, hence as a precise and detailed construction of large-N and asymptotically AdS string theory/M-theory:

The D=6 N=(2,0) SCFT on the M5-brane:

• Shai M. Chester, Eric Perlmutter, M-Theory Reconstruction from $(2,0)$ CFT and the Chiral Algebra Conjecture (arXiv:1805.00892)

The D=3 SCFT (BLG-model, ABJM model) on the M2-brane:

• Nathan B. Agmon, Shai M. Chester, Silviu S. Pufu, The M-theory Archipelago (arXiv:1907.13222)

Last revised on August 1, 2019 at 08:44:15. See the history of this page for a list of all contributions to it.