Bootstrapping the 3d Ising twist defect

By D. Gaiotto, D. Mazáč, M. Paulos. 2013

192 citations recorded by the source corpus.

A bstractRecent 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.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5164096676c8ad8014fee94c780c4f67d1743448

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Citations in the corpus

TASI Lectures on the Conformal Bootstrap (2016, background): “, and interfaces. These objects have additional data associated with them, and it’s possible to write down OPEs and crossing equations that relate this data to itself and the usual CFT data, see e.g. [39,40]. It is also interesting to consider correlation functions on manifolds not conformally equiv”
Exact correlators of BPS Operators from the 3d superconformal bootstrap (2014, background): “In most examples, crossing symmetry is combined with unitarity and is implemented numerically on various four-point functions (see, for example, [12–43]).”
Bootstrapping mixed correlators in the 3D Ising model (2014, background): “The conformal bootstrap [1, 2] in D > 2 dimensions has produced remarkable results, including numerical bounds on operator dimensions and OPE coefficients [3–29], analytical constraints [30–36], and recently a precise conjecture for the Z2-even spectrum of the 3D Ising model [23].”
The ϵ ?> -expansion from conformal field theory (2015, background): “Many other conformal theories, such as the O(N) model [21, 22], models with supersymmetry in various dimensions [23–32], as well as other less familiar or conjectural conformal theories [33–39] are being studied.”
Bootstrapping the O(N) archipelago (2015, unknown): “In recent years great progress has been made in the conformal bootstrap in d > 2, including rigorous bounds on operator dimensions and operator product expansion (OPE) coefficients [3–32], analytical constraints [33–45], and methods for approximate direct solutions to the bootstrap [46–49], includin”
Gapless Topological Phases and Symmetry-Enriched Quantum Criticality (2019, background): “[102] Davide Gaiotto, Dalimil Mazac, and Miguel F.”
A general proof of the quantum null energy condition (2017, methodology): “On the other hand the orbifold theory is much more under control since we can use standard results about defect CFTs [63–67] in order to make progress with computations.”
A semidefinite program solver for the conformal bootstrap (2015, methodology): “This modern incarnation of the conformal bootstrap [10, 11] has been applied to numerous theories, and the list is growing [12–33].”
Theta, time reversal and temperature (2017, background): “The disorder line defect in the 3d Ising model flows to a nontrivial conformal line operator at long distances [49, 50].”
A scaling theory for the long-range to short-range crossover and an infrared duality (2017, background): “We will then (28)The 3d LRFP is also expected to have a Z2 line defect operator, analogous to the SRFP line defect [45, 46] and continuously connected to it.”
Critical exponents of the 3d Ising and related models from conformal bootstrap (2014, methodology): “J H E P 1 0 ( 2 0 1 4 ) 0 4 2 defect has been estimated using Monte Carlo simulations only recently [27]; these estimates have been supported by both epsilon expansion and conformal bootstrap calculations [23].”
Boundary and interface CFTs from the conformal bootstrap (2015, methodology): “It is of course viable to use the method of determinants for the study of generic defects, and in particular it would be nice to complement the bootstrap analysis carried out in [18] for the twist line in the Ising model.”
Half-BPS Wilson loop and AdS2/CFT1 (2017, background): “, [11–13, 31, 32] for recent related work) where one considers an AdSd brane inside AdSd+1, and there is a defect CFT living at the boundary of AdSd.”