nLab Alexander Polyakov

Selected writings

Introducing conformal field theory:

On the AdS-CFT correspondence:

and specifically between single trace operators and superstring-excitations:

The picture which slowly arises from the above considerations is that of the space-time gradually disappearing in the regions of large curvature. The natural description in this case is provided by a gauge theory in which the basic objects are the texts formed from the gauge-invariant words. The theory provides us with the expectation values assigned to the various texts, words and sentences.

These expectation values can be calculated either from the gauge theory or from the strongly coupled 2d sigma model. The coupling in this model is proportional to the target space curvature. This target space can be interpreted as a usual continuous space-time only when the curvature is small. As we increase the coupling, this interpretation becomes more and more fuzzy and finally completely meaningless.

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Last revised on November 14, 2020 at 20:02:24. See the history of this page for a list of all contributions to it.