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2013

Bootstrapping the 3d Ising twist defect

Gaiotto, Davide, Mazac, Dalimil, Paulos, Miguel F.

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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.

Bootstrapping the 3d Ising twist defect · Around

Built on

K. G. Wilson and M. E. Fisher, Critical exponents in 3.99 dimensions
1972
Earlier work this paper cites.
H. Diehl and S. Dietrich, Field-theoretical approach to multicritical behavior near free surfaces
1981
Earlier work this paper cites.
J. Le Guillou and J. Zinn-Justin, Accurate critical exponents from the ε \varepsilon -expansion
1985
Earlier work this paper cites.
K. Binder and D. Landau, Critical phenomena at surfaces
1990
Earlier work this paper cites.
D. McAvity and H. Osborn, Conformal field theories near a boundary in general dimensions
1995
Earlier work this paper cites.
A. Pelissetto and E. Vicari, Critical phenomena and renormalization group theory
2002
Earlier work this paper cites.

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