In W3 CFTs, Lanczos coefficients b_N grow as N^2 for generalized Liouvillian with W generators, violating the universal linear growth bound and causing divergent Krylov complexity, with the same quadratic growth in the SL(3,R) subalgebra.
W-symmetry in Conformal Field Theory
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We review various aspects of $\cW$-algebra symmetry in two-dimensional conformal field theory and string theory. We pay particular attention to the construction of $\cW$-algebras through the quantum Drinfeld-Sokolov reduction and through the coset construction.
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UNVERDICTED 4representative citing papers
Under the assumption that the R-filtration is weight-based, only the (3,q+4) minimal models of W3 algebras are compatible with graded unitarity from 4d SCFTs.
Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.
Primary charged and neutral spin-4 currents are identified in the Grassmannian-like coset model by extracting the second-order poles in OPEs of charged-neutral and neutral-neutral spin-3 currents.
citing papers explorer
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Violation of Universal Operator Growth Hypothesis in $\mathcal{W}_3$Conformal Field Theories
In W3 CFTs, Lanczos coefficients b_N grow as N^2 for generalized Liouvillian with W generators, violating the universal linear growth bound and causing divergent Krylov complexity, with the same quadratic growth in the SL(3,R) subalgebra.
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Towards a classification of graded unitary ${\mathcal W}_3$ algebras
Under the assumption that the R-filtration is weight-based, only the (3,q+4) minimal models of W3 algebras are compatible with graded unitarity from 4d SCFTs.
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Free-field approaches to boundary $\mathcal{W} \big[ \widehat{g} \big] (p,p') $ minimal models
Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.
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A Charged and Neutral Spin-$4$ Currents in the Grassmannian-like Coset Model
Primary charged and neutral spin-4 currents are identified in the Grassmannian-like coset model by extracting the second-order poles in OPEs of charged-neutral and neutral-neutral spin-3 currents.