703 citations · 3.4k across the 19 of their papers we have counts for
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Extremal bootstrapping: go with the flow
Sheer El-Showk, Miguel F. Paulos
The extremal functional method determines approximate solutions to the constraints of crossing symmetry, which saturate bounds on the space of unitary CFTs. We show that such solut…
Bootstrapping SCFTs with Four Supercharges
Nikolay Bobev, Sheer El-Showk, Dalimil Mazac +1
We study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension . We show ho…
Bootstrapping the Three-Dimensional Supersymmetric Ising Model
Nikolay Bobev, Sheer El-Showk, Dalimil Mazac +1
We implement the conformal bootstrap program for three-dimensional CFTs with supersymmetry and find universal constraints on the spectrum of operator dimensions in…
Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
Sheer El-Showk, Miguel F. Paulos, David Poland +3
We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central…
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…
Bootstrapping Conformal Field Theories with the Extremal Functional Method
Sheer El-Showk, Miguel F. Paulos
The existence of a positive linear functional acting on the space of (differences between) conformal blocks has been shown to rule out regions in the parameter space of conformal f…