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Liouville theory revisited
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We try to develop a coherent picture on Liouville theory as a two-dimensional conformal field theory that takes into account the perspectives of path-integral approach, bootstrap, canonical quantization and operator approach. To do this, we need to develop further some of these approaches. This includes in particular a construction of general exponential field operators from a set of covariant chiral operators. The latter are shown to satisfy braid relations that allow one to prove the locality of the former.
Forward citations
Cited by 10 Pith papers
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On the Virasoro Crossing Kernels at Rational Central Charge
At rational central charge, the Virasoro crossing kernels decompose into two admissible square-root-branched kernels; the physical c≤1 kernels are derived for the first time.
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Exact low-temperature Green's functions in AdS/CFT: From Heun to confluent Heun
An analytic low-temperature expression for the retarded Green's function of a charged scalar in the RN-AdS5 black brane is derived from the Heun connection problem, with QNM and superconductor applications verified nu...
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Sine-Liouville gravity as a Vertex Model on Planar Graphs
The seven-vertex matrix model realizes sine-Liouville gravity through a shared classical spectral curve with matrix quantum mechanics but distinct branes, with dilute-dense flow analogous to a gravitational massless s...
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Conformal Turaev-Viro Theory
Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.
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Schwarzian functional integrals calculus
Schwarzian functional integrals over Diff^1_+(S^1)/SL(2,R) are reduced to ordinary integrals, giving two- and four-point correlators that do not factorize into two-point products.
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$\mathcal{N}=2$ Liouville SCFT in Four Dimensions
Constructs an N=2 Liouville SCFT in 4D, shows no quantum correction to the classical background charge, finds c=0 and negative a depending on the charge, and derives integral expressions for superfield vertex operator...
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Towards $W_3$ classical blocks with semi-degenerate operators
Explicit heavy-light accessory parameters and classical W3 blocks are obtained for 4-point blocks with level-1 and level-2 semi-degenerate operators, including one non-identity intermediate channel.
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On Cosmologies and Vacua Driven by Tension and Curvatures
Classifies singularity structures and asymptotics of cosmological solutions driven by exponential string potentials and curvatures k, k' in maximally symmetric spaces, emphasizing flat slices.
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Liouville Theory, AdS$_2$ String, and Three-Point Functions
Classical three-point functions in Liouville theory and for AdS2 strings can be derived from ODE/IM-style functional equations, with the Liouville result matching the DOZZ formula and the AdS2 result expressed through...
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Modern Approach to 2D Conformal Field Theory
A review-style lecture note collection presenting modern bootstrap methods for irrational 2D CFTs, with no new research results.
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