(24.06.) Higher Spin Gravity: from quantum gravity to three-dimensional bosonization duality
24.06.2021 at 16:15
Higher Spin Gravities are supposed to be minimalistic extensions of gravity that embed it into a quantum consistent theory. However, such minimality turns out to be in tension with the field theory approach, as well as with the numerous no-go theorems. We review various aspects of Higher Spin Gravities and report on the recent progress in constructing them and testing quantum effects therein. AdS/CFT relates Higher Spin Gravities to a variety of interesting three-dimensional CFT's, e.g. to the Ising model. These CFT's were conjectured to exhibit a number of remarkable dualities, in particular, the three-dimensional bosonization duality. We show how Higher Spin Gravity can be useful to prove the bosonization duality at least in the large N limit and make new predictions for the correlation functions.
Arnold Sommerfeld Center