Bootstrapping the 3d Ising twist defect
TLDR
In this article, the authors show that the existence of a conformally invariant twist defect in the critical 3D Ising model is supported by both epsilon expansion and conformal bootstrap calculations.Abstract:
Recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d Ising model. In this note we show that this fact is supported by both epsilon expansion and conformal bootstrap calculations. We find that our results are in good agreement with the numerical data. We also make new predictions for operator dimensions and OPE coefficients from the bootstrap approach. In the process we derive universal bounds on one-dimensional conformal field theories and conformal line defects.read more
Citations
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The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
TL;DR: Conformal field theories have been long known to describe the universal physics of scale invariant critical points as discussed by the authors, and they describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same time sit at the heart of our modern understanding of quantum field theory.
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Universality of Long-Distance AdS Physics from the CFT Bootstrap
TL;DR: In this article, a recent proof of the cluster decomposition principle in AdS�4 from the CFT�3 bootstrap is presented, which requires knowledge of the Virasoro conformal blocks in a lightcone OPE limit.
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A Semidefinite Program Solver for the Conformal Bootstrap
TL;DR: SDPB is introduced: an open-source, parallelized, arbitrary-precision semidefinite program solver, designed for the conformal bootstrap, that significantly outperforms less specialized solvers and should enable many new computations.
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Bootstrapping mixed correlators in the 3D Ising model
TL;DR: In this article, the conformal bootstrap for mixed correlators with non-identical operators is studied in 3D CFTs with a Z2 global symmetry and the constraints of crossing symmetry and unitarity are phrased in the language of semidefinite programming.
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The (2, 0) superconformal bootstrap
TL;DR: The existence of six-dimensional supersymmetric ''$(2,0)$'' conformal field theories implies many deep, nonperturbative dualities within the landscape of four-and three-dimensional quantum field theories as discussed by the authors.
References
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Critical phenomena and renormalization-group theory
Andrea Pelissetto,Ettore Vicari +1 more
TL;DR: In this paper, the critical behavior of spin systems at equilibrium is studied in three and two dimensions, and the results in three-dimensional space are presented in particular for the six-loop perturbative series for the β -functions.
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Critical Exponents in 3.99 Dimensions
TL;DR: In this paper, the critical exponents for dimension $d = 4, where d is the dimension of the dimension in the dimension space of the model, with the exponent of the critical exponent being $1+\frac{1.6} for an Ising-like model and $1 +\frac {1.5} for a more complex model.
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Bounding scalar operator dimensions in 4D CFT
TL;DR: In this article, a theory-independent inequality [phi(2)] 1 was derived for 4D conformal fixed points, where f(d) = 2 + O(root d - 1), which shows that the free theory limit is approached continuously.
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Solving the 3D Ising Model with the Conformal Bootstrap
Sheer El-Showk,Miguel F. Paulos,David Poland,Slava Rychkov,David Simmons-Duffin,Alessandro Vichi +5 more
TL;DR: In this article, the constraints of crossing symmetry and unitarity in general 3D conformal field theories were studied, and it was shown that the 3D Ising model lies at a corner point on the boundary of the allowed parameter space.
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The analytic bootstrap and AdS superhorizon locality
TL;DR: In this article, it was shown that every CFT with a scalar operator ϕ must contain infinite sequences of operators with twist approaching τ → 2Δ + 2n for each integer n as l → ∞.