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Conformal Field Theory , ISBN =

Canonical reference. 91% of citing Pith papers cite this work as background.

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Cohomological beta function

math-ph · 2026-06-27 · unverdicted · novelty 7.0

Cohomological beta function: the leading perturbative beta function in 2D CFT current-current deformations equals the coefficient of the cocycle obstructing Virasoro module deformation on the state space.

Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras

quant-ph · 2026-05-06 · unverdicted · novelty 7.0 · 2 refs

The paper establishes a Lie-algebraic framework for exact Krylov dynamics in time-dependent quantum systems and introduces a quantum speed limit for complexity growth that retains its time-independent form but saturates only when the Hamiltonian commutes with itself at different times.

String probes, simple currents, and the no global symmetries conjecture

hep-th · 2026-05-12 · unverdicted · novelty 6.0

Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circle reduction.

Candidate Gaugings of Categorical Continuous Symmetry

hep-th · 2026-04-28 · unverdicted · novelty 6.0

Candidate modular invariants and gaugings for continuous G-symmetries with anomaly k are obtained from +1 eigenspaces of semiclassical modular kernels in a BF+kCS SymTFT model.

Quasi-Characters for three-character Rational Conformal Field Theories

hep-th · 2025-10-28 · unverdicted · novelty 6.0

All (3,0) admissible solutions are expressed via a universal _3F_2 hypergeometric formula; (3,3) solutions are built from them using Bantay-Gannon duality with only 7 of 15 having proper fusion rules, and further (3,6) and (3,9) solutions are generated as integer points on a polytope via quasi-char

QFT in Klein space

hep-th · 2025-05-22 · unverdicted · novelty 6.0

Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.

Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs

hep-th · 2024-09-26 · unverdicted · novelty 6.0

High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.

Modular quantization and black holes

hep-th · 2026-06-10 · unverdicted · novelty 5.0

Modular quantization of a single holographic CFT reproduces exact Hartle-Hawking correlators of smooth BTZ black holes in the semiclassical limit while yielding non-smooth stretched-horizon descriptions at finite GN.

Fusion of Integrable Defects and the Defect $g$-Function

hep-th · 2026-05-20 · unverdicted · novelty 5.0

Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.

A note on the 2D NLSM free energy

hep-th · 2026-06-04 · unverdicted · novelty 4.0

Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.

Lectures on Semiclassical Methods for Composite Operators

hep-th · 2026-06-09 · unverdicted · novelty 3.0

Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.

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