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Chiral Deformations of Conformal Field Theories
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abstract
We study general perturbations of two-dimensional conformal field theories by holomorphic fields. It is shown that the genus one partition function is controlled by a contact term (pre-Lie) algebra given in terms of the operator product expansion. These models have applications to vertex operator algebras, two-dimensional QCD, topological strings, holomorphic anomaly equations and modular properties of generalized characters of chiral algebras such as the $W_{1+\infty}$ algebra, that is treated in detail.
Forward citations
Cited by 5 Pith papers
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Universal Modular Properties of Generalized Gibbs Ensembles and Chiral Deformations
Modular S-transforms of chirally deformed CFT partition functions are determined iteratively by second-order OPE poles of the deforming currents, with explicit multiplicities.
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Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble
Exact modular S-transforms are derived for GGEs in the symplectic fermion theory, agreeing with conjectures for the W3 zero mode and mirroring free-fermion results for the KdV subset.
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On W-algebras and ODE/IM correspondence
The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.
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Modular Properties of $\mathcal{W}_3$ Generalised Gibbs Ensembles
A proposed asymptotic expansion for the modular S-transform of W_3 generalized Gibbs ensembles with a W_0 charge, supported by Zhu's recursion checks and exact results at c=-2.
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Equivariant Interpolations in Topological Holography
Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Ja...
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