Conformal perturbation theory is applied to surface defects in O(N) models in 4-ε dimensions to reproduce known flows and construct new ones, with controlled changes in displacement and tilt normalizations and novel features like vortices on non-simply-connected manifolds.
Seeking Fixed Points in Multiple Coupling Scalar Theories in the $\varepsilon$ Expansion
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
Fixed points for scalar theories in $4-\varepsilon$, $6-\varepsilon$ and $3-\varepsilon$ dimensions are discussed. It is shown how a large range of known fixed points for the four dimensional case can be obtained by using a general framework with two couplings. The original maximal symmetry, $O(N)$, is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six dimensional case. Perturbative applications of the $a$-theorem are used to help classify potential fixed points. At lowest order in the $\varepsilon$-expansion it is shown that at fixed points there is a lower bound for $a$ which is saturated at bifurcation points.
representative citing papers
In the 4-ε expansion of the Ising model with surface random field, the ordinary boundary condition is stable while a new non-trivial dirty boundary fixed point emerges that is reachable by tuning disorder or temperature.
Classification and discovery of new fixed points for coupled minimal models with reduced symmetries from subgroups of S_N, including rigorous proofs for even N and examples with PSL_2(N) and Mathieu groups.
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
Recalculation of individual six-loop graph contributions to the β-function in 3d φ⁶ theory with arbitrary potential, plus large-N eight-loop diagrams and O(ε³) critical exponents at the O(N) fixed point.
citing papers explorer
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Flowing with Displacements and Tilts: Surface Operators in $O(N)$ Models
Conformal perturbation theory is applied to surface defects in O(N) models in 4-ε dimensions to reproduce known flows and construct new ones, with controlled changes in displacement and tilt normalizations and novel features like vortices on non-simply-connected manifolds.
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Ising surface defects can get dirty
In the 4-ε expansion of the Ising model with surface random field, the ordinary boundary condition is stable while a new non-trivial dirty boundary fixed point emerges that is reachable by tuning disorder or temperature.
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Taxonomy of coupled minimal models from finite groups
Classification and discovery of new fixed points for coupled minimal models with reduced symmetries from subgroups of S_N, including rigorous proofs for even N and examples with PSL_2(N) and Mathieu groups.
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Quantum Rotors on the Fuzzy Sphere and the Cubic CFT
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
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$\phi^6$ at $6$ (and some $8$) loops in $3d$
Recalculation of individual six-loop graph contributions to the β-function in 3d φ⁶ theory with arbitrary potential, plus large-N eight-loop diagrams and O(ε³) critical exponents at the O(N) fixed point.