763 citations · 6.8k across the 66 of their papers we have counts for
Showing 2013 · hep-thShow all
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hep-th2013★ 153 cited
Conformal Field Theories in Fractional Dimensions
S. El-Showk, M. Paulos, D. Poland +3
We study the conformal bootstrap in fractional space-time dimensions, obtaining rigorous bounds on operator dimensions. Our results show strong evidence that there is a family of u…
hep-th2013★ 105 cited
Diagonal Limit for Conformal Blocks in d Dimensions
Matthijs Hogervorst, Hugh Osborn, Slava Rychkov
Conformal blocks in any number of dimensions depend on two variables z, zbar. Here we study their restrictions to the special "diagonal" kinematics z = zbar, previously found usefu…
hep-th2013★ 250 cited
Radial Coordinates for Conformal Blocks
Matthijs Hogervorst, Slava Rychkov
We develop the theory of conformal blocks in CFT_d expressing them as power series with Gegenbauer polynomial coefficients. Such series have a clear physical meaning when the confo…